Step-by-Step Mathematics Tutorials for Easy Learning

this question is designed to help you review some basics of hypothesis testing) suppose that a plant manufactures integrated circuits with a mean life of 1000 hours and a standard deviation of 100 hours. an inventor claims to have developed an improved process that produces integrated circuits with a longer mean life and the same standard deviation. the plant manager randomly selects 50 integrated circuits produced by the process. she says that she will believe the inventors claim if the sample mean life of the integrated circuits is greater than 1100 hours; otherwise, she will conclude that the new process is no better than the old process. let denote the mean of the new process. consider the null and alternative hypotheses h0 : 1000 vs. h1 : > 1000. 2 (a) what is the size of the plant managers testing procedure? (hint: we need to calculate the probability of rejecting the null hy
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hhow many integers between, but not includingm 20 and 30 have a prim efactorizatioin with exactlu 3 factors that are not necessarily unique
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determine the number of solutions in $x$ of the congruence $64x\equiv 2\pmod {66}$ such that $0< x\le 100$.
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"leverage, influence, and the jackknife in clustered regression models: reliable inference using summclust,"
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assume the p-value for the following hypotheses is 0.0415. h0: the colors in a skittles bag are evenly distributed ha: the colors in a skittles bag are not evenly distributed write the conclusion for this test in context of the question interpret the p-value
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you are given that is directly proportional to , and is inversely proportional to . if the value of is when is , what is the value of when is equal to ? express your answer as a common fraction.
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write an equation of the line satisfying the given conditions. the line passes through (25,24)(25,24) and is perpendicular to y
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(b) estimate the errors in the approximations t8 and m8 in part (a). (use the fact that the range of the sine and cosine functions is bounded by 1 to estimate the maximum error. round your answer to seven decimal places.) |et| |em|
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find the minimum sample size n needed to estimate for the given values of c, , and e. c, , and e question content area bottom part 1 assume that a preliminary sample has at least 30 members.
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find the x-values (if any) at which f is not continuous. which of the discontinuities are removable? (use k as an arbitrary integer. if an answer does not exist, enter dne.) f(x)
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find the equation of the line passing through the point (-2,5)(2,5) that is perpendicular to the line 6x 2y
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how many strings of length 10 over the alphabet {a, b, c, a, b} have at least one b somewhere in the string
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the sample space listing the eight simple events that are possible when a couple has three children is {bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg}. after identifying the sample space for a couple having four children, find the probability of getting and .
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find two solutions of each equation. give your answers in radians (0 theta 2????). do not use a calculator. (enter your answers as comma-separated lists.)
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a rectangular lot with 1,250' of frontage contains 40 acres. the adjacent lot has a front footage of 2,000'. if both lots are the same depths, how many acres are in the second lot? select one: a. 48. b. 56. c. 64. d. 72.
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prove: if a is any integer and the polynomial f pxq " x2 ` ax ` 1 factors (poly mod 9q, then there are three distinct non-negative integers y less than 9 such that f pyq " 0 (poly mod 9q.
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therese is on a trip overseas she uses the table below to determine the conversion rate of her u.s. dollars to british pounds. what is the constant of proportionality
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The time it takes valerie to paint her house varies inversely with the number of people. if it takes 6 hours for valerie and 3 of her friends to paint the house, how long would it take for valerie and 6 of her friends to paint the house?
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customers arrive at a rate of 12 people per hour to a bank. assume that the number of customers arriving can be described using the poisson distribution. what is the probability that at least 8 customers arrive in the next hour? express your answer rounded to four decimal places
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The distance between galveston and dallas is 290 miles. there are approximately 8 kilometers in 5 miles. which measurement is closest to the number of kilometers between these two cities?
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calculate the edge length, in cm, of the theoretically smallest possible square of area sun is 5778 k
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assuming each iteration is normalized using the -norm and a random starting vector, to what vector does the process converge if you run normalized shifted inverse iteration with a shift of 5.9 on ?
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you are to construct an open rectangular box from 12 ft2 of material. what dimensions will result in a box of maximum volume?
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an ice cream truck offers 4 ice cream flavors and 3 toppings. if you get 1 scoop of ice cream and 1 topping, how many possible combinations could you get?
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