The average production cost for major movies is 69 million dollars and the standard deviation is 18 milliondollars. Assume the production cost distribution is normal. Suppose that 8 randomly selected major moviesare researched. Answer the following questions. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(b. What is the distribution of ? ~ Nc. For a single randomly selected movie, find the probability that this movie's production cost isbetween 64 and 70 million dollars.d. For the group of 8 movies, find the probability that the average production cost is between 64 and 70million dollars.e. For part d), is the assumption of normal necessary? No Yes

GivenMean(μ)=69standard deviation(σ)=18sample size(n)=8

Answered: The average production cost for major…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The average fruit fly will lay 375 eggs into rotting fruit. A biologist wants to see if the average will be greater for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 379, 406, 378, 394, 369, 369, 402, 383, 367, 357, 401, 407, 357, 394, 367 What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: H1: C. The test statistic (please show your answer to 3 decimal places.) d. The p-value (Please show your answer %D to 4 decimal places.)
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