The statement that is inconsistent with the distribution of sample means is, "The distribution of sample means tends to pile up around the population standard deviation." Therefore the correct answer is option D.
The mean sample distribution does not "pile up" around the population standard deviation. The sample means are central tendency measurements that indicate the average values from various samples. The population standard deviation, on the other hand, measures the population's dispersion or variability. The spread of sample means can vary, but it does not explicitly "pile up" around the population standard deviation.
In summary, option (D) contradicts the distribution of sample means, since the distribution does not pile up around the population standard deviation. The other options (A, B, and C) appropriately represent the sample mean characteristics.
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The correct question is-
Which statement below is not consistent with the distribution of sample means?
A) The distribution of sample means tends to pile up around the population mean.
B) The distribution of sample means tends to be approximately normal.
C) The distribution of sample means depicts the means of all the random samples of a particular sample size.
D) The distribution of sample means tends to pile up around the population standard deviation.
Which function is represented by the graph?
Answer:
D. f(x) = -|x+4| +3
The graph is flipped over the x-axis (facing down) so there's a negative sign in front of the function. It's shifted to the left 4 units so it'll be |x+4|. Finally, it's shifted up 3 units so it'll be +3 outside of the absolute bracket.
NOTE: if there's a change to the x value then it's inside the bracket or parenthesis, if there's a change to the y value then it's outside of the bracket or parenthesis
In the following questions, select the appropriate alternative hypothesis, find the relevant sample proportions in each group, find the pooled proportion, find the test statistic, and give the appropriate conclusion for the hypothesis test. You may assume that any necessary conditions hold for the hypothesis test. Give your answers to 4 decimal places.
The following table gives survival data for two treatments in a clinical trial. Test whether patients getting Treatment A are more likely to survive than patients getting Treatment B.
Survive Do not survive Total
Treatment A 63 21 84
Treatment B 32 33 65
Total 95 54 149
What is the appropriate null hypothesis?
i. H0:pA=pB ii. H0:pA pB iv. H0:pA≠pB
What is the appropriate alternative hypothesis?
i. Ha:pA=pB ii. Ha:pA pB iv. Ha:pA≠pB
Sample proportions: pˆA=
, pˆB=
Pooled proportion: pˆ=
Test statistic: z=
The p-value for this test is 0.0006. What is the appropriate conclusion? Use α=0.05.
i. Reject H0 ii. Fail to reject H0
The following table gives flight arrival numbers from a random sample of flights for two airlines. Test whether there is a difference between the two airlines in percent of flights that arrive on-time.
Early On-time Late Total
Airline A 107 427 148 682
Airline B 72 353 93 518
Total 179 780 241 1200
What is the appropriate null hypothesis?
i. H0:pA=pB ii. H0:pA pB iv. H0:pA≠pB
What is the appropriate alternative hypothesis?
i. Ha:pA=pB ii. Ha:pA pB iv. Ha:pA≠pB
Sample proportions: pˆA=
, pˆB=
Pooled proportion: pˆ=
Test statistic: z=
The p-value for this test is 0.0464. What is the appropriate conclusion? Use α=0.05.
i. Reject H0 ii. Fail to reject H0
First hypothesis test:
The null hypothesis is: H0: pA = pB.The alternative hypothesis: Ha: pA > pB.The sample proportions are pA = 0.75 and pB = 0.49.The pooled proportion is of 0.26.The test statistic is z = 3.34.The conclusion is: i. Reject H0 .Second hypothesis test:
The null hypothesis is: H0: pA = pB.The alternative hypothesis: Ha: pA ≠ pB.The sample proportions are pA = 0.6261 and pB = 0.6815.The pooled proportion is of -0.0554.The test statistic is z = -2.01.The conclusion is: i. Reject H0 .First testWe are testing if patients with treatment A are more likely to survive, hence the hypothesis are given as follows:
Null: equally as likely -> pA = pB.Alternative: A more likely -> pA > pB.The sample proportions are given as follows:
pA = 63/84 = 0.75.pB = 32/65 = 0.49.Then the pooled proportion is:
p^ = pA - pB = 0.75 - 0.49 = 0.26.
The standard error is:
\(s = \sqrt{\left(\sqrt{\frac{0.75(0.25)}{84}}\right)^2 + \left(\sqrt{\frac{0.49(0.51)}{65}}\right)^2} = 0.0779\)
The test statistic is the pooled proportion divided by the standard error, hence:
z = 0.26/0.0779 = 3.34.
Since the p-value is less than the significance level of 0.05, the null hypothesis is rejected.
Second testWe are testing if there is a difference in the arrival times, hence the hypothesis are given as follows:
Null: equally as likely -> pA = pB.Alternative: A more likely -> pA ≠ pB.The sample proportions are given as follows:
pA = 427/682 = 0.6261.pB = 353/518 = 0.6815.Then the pooled proportion is:
p^ = pA - pB = 0.6261 - 0.6815 = -0.0554.
The standard error is:
\(s = \sqrt{\left(\sqrt{\frac{0.6261(0.3739)}{682}}\right)^2 + \left(\sqrt{\frac{0.6815(0.3185)}{518}}\right)^2} = 0.0276\)
The test statistic is the pooled proportion divided by the standard error, hence:
z = -0.0554/0.0276 = -2.01.
Since the p-value is less than the significance level of 0.05, the null hypothesis is rejected.
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When an object is weighed on a scale, the number displayed may vary from the object’s actual weight by at most 0.4 pounds. The scale says the object weighs 125.8 pounds. Part A: Write an absolute value inequality that describes the range of the actual weight of the object. Use the variable w to represent the actual weight of the object. Part B: Solve the absolute value inequality for w. Express your answer as a compound inequality.
The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.
Part A: The absolute value inequality that describes the range of the actual weight of the object is:
|w - 125.8| ≤ 0.4
Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:
w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4
Solving the first inequality:
w - 125.8 ≤ 0.4
Add 125.8 to both sides:
w ≤ 126.2
Solving the second inequality:
-(w - 125.8) ≤ 0.4
Multiply by -1 and distribute the negative sign:
-w + 125.8 ≤ 0.4
Subtract 125.8 from both sides:
-w ≤ -125.4
Divide by -1 (note that the inequality direction flips):
w ≥ 125.4
Combining the solutions, we have:
125.4 ≤ w ≤ 126.2
The object is 125.4 ≤ w ≤ 126.2.
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Diego has 81 square inch tiles. He wants to use them to make a square mosaic. How long can each side of the mosaic be
Answer:
side of the mosaic = 7 inches
Step-by-step explanation:
Answer:
s= 9
Step-by-step explanation:
Diego has 81 square inch tiles. He wants to use to make a square mosaic.
Area of the tile = 81 square inches
We know , area of the square = s^2
where 's' is the side of the square
Area is s²
Plug in 81 for area and solve for 's'
Take square root on both sides
s= 9
i hope this helps
have a great day :))
Does anyone know how to solve this?
The answer is B but can anyone explain it please
Answer: sorry no
Step-by-step explanation: sorry i dont want to explain it.
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Divide (x^3+2x-6x-9) by (x+3)
Answer:
x² - 3x + 5 - [24÷(x+3)]
Step-by-step explanation:
1. Expand (x³ + 2x - 6x - 9)
= x³ - 4x - 9
2. Divide [x³ - 4x - 9 by x+3]
= x² + [(-3x^2-4x-9) ÷ (x+3)]
3. Divide [(-3x^2-4x-9) by (x+3)]
= -3x + [(5x-9) ÷ (x+3)]
x² - 3x + [(5x-9) ÷ (x+3)]
4. Divide [(5x-9) ÷ (x+3)]
= 5 + [(-24) ÷ (x+3)]
x² - 3x + 5 + [(-24) ÷ (x+3)]
= x² - 3x + 5 - [24 ÷ (x+3)]
Please please help me out
Answer:
a) A = p(1 + r)^t
b) A = 500(1 + 0.07)^2=572.45
Step-by-step explanation:
t=2 in b)
Which triangle is △ABC similar to and why?
Answer:
can we get a picture
Step-by-step explanation:
If the expenditure of a person is 75% of his income and his income tax which is 13% of his income is $585. What is his expenditure?
The person's expenditure is $1,755. (30 words)
To find the expenditure, we need to determine the person's income first. Since the income tax is 13% of the income and is given as $585, we can calculate the income. Dividing the income tax by the tax rate gives us the income. So, $585 divided by 0.13 equals $4,500, which is the person's income.
Now, we can calculate the expenditure. Given that the expenditure is 75% of the income, we can multiply the income by 0.75 to find the expenditure. So, $4,500 multiplied by 0.75 equals $3,375. Therefore, the person's expenditure is $3,375. (120 words)
In summary, the person's expenditure is $3,375. To find this, we first determined the person's income by dividing the given income tax of $585 by the tax rate of 13%, resulting in an income of $4,500.
Then, we calculated the expenditure by multiplying the income by 0.75 since the expenditure is stated to be 75% of the income. Thus, the person's expenditure is $3,375.
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the perimeter of a square is less than or equal to 50 find the range of the value of the length of the square
Answer:
12.5 ≥ s >0
Step-by-step explanation:
The perimeter of a square is given by
P = 4s where s is the side length
50 ≥ 4s
Divide each side by 4
50/4 ≥ 4s/4
25/2 ≥ s
12.5 ≥ s
A mother has 6 sons
Each has a sister
How many people are in the family?
A:13.
B)8.
D)7.
C:14.
A. 13
Explanation= 6 (sons) +6 (daughters) +1 (mother) = 13.
(notes: as a father is not within the problem, there is no reason to be in the answer)
Answer:
B)8
A mother has 6 sons. If there is only one sister, than each son has a sister. Don't forget to add the mother. 6 + 1 + 1
Step-by-step explanation:
When a teacher in a private school points out to her high school principal that since there are empty seats in all classrooms, the cost of additional students is really zero, she is using the
Answer:
The answer is "Principal of marginal analysis".
Step-by-step explanation:
To determine unless the benefits of even an aggressive resource would outweigh its costs, and therefore increase utility, individuals and businesses can use a valuation model to compare the risks versus the benefits of more activities, like whether to create or consuming more. It's the amount during which net value is greater than or equal to marginal cost that's the optimal quantity in this situation. The amount where the marginal social cost curve and consumer surplus line connect.
jack picks 60 apples from an apple tree .He uses 12 of them to make applesauce .He places the remaining apples equally into 6 gift baskets. Wich equation can be used to determin the number of apples,a, Jack places into each gift baskets.
Answer:
42 apples
Step-by-step explanation:
42 apples cuz how much Jack used
The length of a rectangle is 8 inches longer than 3 times its width. The area of the rectangle is 156 square inches.
What is the width of the rectangle?
The Answer:
Width = 6
Step-by-step explanation:
Let width be w
(3w + 8) x w = 156
3 \(w^{2}\) x 8n - 156 = 0
(w + 8 x 6) (w-6) = 0
w = 6
A fast food restaurant offers a bonus to each meal purchased. The bonus could be
a free ice cream, pop, or fries. The owner wants the fries to be given twice as often
as either ice cream or pop. Design a spinner that will simulate the likelihood of getting|
each type of bonus.
a) Four equal sectors labelled fries, fries, ice cream, pop.
b) Six equal sectors labelled fries, fries, fries, fries, ice cream, pop.
c) Three equal sectors labelled fries, ice cream, pop.
d) Seven equal sectors labelled fries, fries, fries, ice cream, ice cream, pop, pop. ( )
The answer you are looking for is A) Four equal sectors labelled fries, fries, ice cream, pop.
Hunter bought a package of 24 pencils for $3.12. Write and solve an equation to determine the cost of each pencil in the package.
Answer:
24 divided by 3.12=7.69
Step-by-step explanation:
What is the solution to this sysiem of inear equacions?
3x-2= 14
5x+y=32
• (3,5)
• (6,2)
• (8,-1)
• (14,-18)
Answer:
the answer i got was (16/3,16/3)
Step-by-step explanation:
hey any help? (please make sure this is correct i'd appreciate it)
Answer:
Below
Step-by-step explanation:
Line AB is of the form y = mx + b where m is the slope = 2
Line BC is perpendicular to this and will have slope - 1/m = - 1/2 and includes the point C (0,6)
The point slope form of line BC will then be
( y-6) = - 1/2 ( x - 0) which can be re-arranged to
y = - 1/2x + 6 < ==== equation for line BC
Someone help pls
A back-to-back stem-and-leaf-plot showing the points scored by each player on two different basketball teams is shown below.
The median number of points scored for each team is given as follows:
Team 1: 13.5.Team 2: 11.How to obtain the median of a data-set?The median of a data-set is the middle value of a data-set, the value of which 50% of the measures are less than and 50% of the measures are greater than. Hence, the median also represents the 50th percentile of a data-set.
Considering the stem-and-leaf plot, the data-sets for each team are given as follows:
Team 1: 4, 7, 8, 11, 13, 14, 20, 21.Team 2: 2, 9, 10, 10, 12, 13, 16, 22.Team 1 has an even number of games, hence the median is given by the mean of the two middle elements, as follows:
Median = (13 + 14)/2 = 13.5.
For team 2, the median is given as follows:
Median = (10 + 12)/2 = 11.
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What percent is represented by this 20-square grid?
A bar diagram with 18 shaded squares and 2 unshaded squares.
%
The percent that is represented by the shaded squares in this 20-square grid is 90%.
How to calculate the percentage?From the information, it was illustrated that the bar diagram has 18 shaded squares and 2 unshaded squares. In this case, the total value of the square will be:
= Shaded part + Unshaded part.
= 18 + 2
= 20
Therefore, the percentage for shaded part will be:
= Shaded part / Total part × 100
= 18/20 × 100
= 90%
The percentage is 90%.
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Complete question
What percent is represented by the shaded squares in this 20-square grid?
A bar diagram with 18 shaded squares and 2 unshaded squares.
%
Answer:
The correct answer to your question .....What percent is represented by this 20-square grid?
Is BELOW
Step-by-step explanation:
What percent is represented by this 20-square grid?
A bar diagram with 18 shaded squares and 2 unshaded squares.
% is 90%
Have great day/week.
A laboratory tested n = 98 chicken eggs and found that the mean amount of cholesterol was LaTeX: \bar{x}x ¯ = 86 milligrams with σ = 7 milligrams. Find the margin of error E corresponding to a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs.
Answer:
1.3859
Step-by-step explanation:
The formula for Margin of Error is given as:
Margin of Error = Critical value × Standard Error
Critical value = z score
In the question, we are given a confidence interval of 95%.
Z score for a 95% confidence level is given as: 1.96
Hence, critical value = 1.96
Standard Error = σ / √n
Where n = number of samples = 98 chicken eggs
σ = Standard deviation = 7 milligrams
Standard Error = 7/√98
Standard Error = 0.7071067812
Hence, Margin of Error = Critical value × Standard Error
Margin of Error = 1.96 × 0.7071067812
Margin of Error = 1.3859292911
Therefore, the margin of error corresponding to a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is approximately 1.3859
513.4497 rounded to the hundredths place
Answer:
513.45
Step-by-step explanation:
use intelligence
What is 84, percent of 300?
Answer:
252
Step-by-step explanation:
.84 times 300 = 252
Answer:
252%
Step-by-step explanation:
I did the Khan Academy.
Beth is going to paint her dog's house
this weekend. If her dog's house is
24cm long, 20cm wide and 15cm tall,
how much paint Will Beth need to
buy?
Question #3
Given the following stemplot, determine the maximum value of the original data set.
O 100
8
98
9
0000
Test Scores
5
479
6 146779
7 002557799
8 12223455789
9 000333368
The maximum value of the original data set is 109.
To determine the maximum value of the original data set from the given stemplot, we need to look at the rightmost digits in each stem and identify the highest value.
Looking at the stemplot:
O 10 | 0 0 8 9 8 9 0 0 0
0 20 | 5 4 7 9 6
0 30 | 1 4 6 7 7 9 7
0 40 | 0 0 2 5 5 7 7 9 9 8
0 50 | 1 2 2 2 3 4 5 5 7 8 9 9
0 60 | 0 0 0 3 3 3 3 6 8
The rightmost digits in each stem represent the original data values. We can see that the highest value occurs in the stem "10" with a rightmost digit of "9".
Therefore, the maximum value of the original data set is 109.
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Please help I am so lost thank you all
h = hours till they're 58 miles apart
Check the picture below.
so they're travelling in opposite directions, however the combined distances is 58 miles at say "h" hours, by the time that happend Hopi has been walking "h" hours and Brittany has also being walking "h" hours too.
Since the combined distance is 58 miles than if Hopi has covered "m" miles then Brittany covered the slack of "58 - m".
\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Hopi&m&15&h\\ Brittany&58-m&14&h \end{array}\hspace{5em} \begin{cases} m=(15)(h)\\\\ 58-m=(14)(h) \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{substituting on the 2nd equation}}{58-(\stackrel{m}{15h})=14h}\implies 58=29h\implies \cfrac{58}{29}=h\implies \boxed{2=h}\)
A blueprint used a scale of 1.5 cm = 2 m to
represent a grain silo. If the height of the silo in
the drawing was 33 cm, how tall is the actual grain
silo?
Answer: The Silo is 44 meters tall
Step-by-step explanation:
To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)
Find the equation of the line.
Use exact numbers.
Answer:
Step-by-step explanation:
The t distribution is a family of similar probability distributions, with each
individual distribution depending on a parameter known as the
Group of answer choices
degrees of freedom
sample size
standard deviation
population mean
The t distribution is a family of similar probability distributions, with each individual distribution depending on a parameter known as the degrees of freedom.
How are the degrees of freedom determined?
When calculating degrees of freedom, one is subtracted from the total number of items in the data sample. Degrees of freedom are frequently addressed in relation to different types of statistical hypothesis testing, like a chi-square.The number of independent bits of information required to construct a statistic is called the degrees of freedom, which is frequently denoted by the letters v or df. It is determined by subtracting the number of constraints from the sample size.Finding essential cutoff values for inferential statistical tests requires consideration of the degree of freedom. Degrees of freedom often (but not always) relate to sample size depending on the sort of study you conduct.Hence, the t distribution is a family of similar probability distributions, with each individual distribution depending on a parameter known as the degrees of freedom.
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