Suppose Diane and Jack are each attempting to use a simulation to describe the sampling distribution from a population that is skewed left with mean 50 and standard deviation 5. Dianeobtains 1000 random samples of size n= 3 from the population, finds the mean of the means, and determines the standard deviation of the means. Jack does the same simulation, butobtains 1000 random samples of size n= 40 from the population. Complete parts (a) through (c) below.(D) vvnat ao you expect ine mean or Diane s aistribution to be? vvnat ao you expect tne mean or Jack s aistribution to De?Diane's distribution is expected to havemean of 50 . Jack's distribution is expected to have a mean of 50.(c) What do you expect the standard deviation of Diane's distribution to be? What do you expect the standard deviation of Jack's distribution to be?Diane's distribution is expected to have a standard deviation ofJack's distribution is expected to have a standard deviation of(Round to two decimal places as needed.)

For the given data find the required blanks

Answered: Suppose Diane and Jack are each…

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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1. A recent report on elementary schools in Tarrant county claimed that 13% of elementary students typically walk to school. Luka thinks that the proportion is different than 0.13 at his large elementary school. Luka surveys a random sample of 80 students from his school and finds that 17 typically walk to school. Do the data provide convincing evidence that Luka's school has a different proportion of walkers than claimed by the report? Use a = 0.01.
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. The following data represent the observed number of defective disks produced each hour based on observing the system for 30 successive hours. 3 5 2 6. 8 3 5 4 6. 6 9. 1 2 1 2 5 3 3 1 7 1 7 4 4 3 a. Plot a frequency histogram for the numbers of failures per hour. b. Compute the mean and the variance of the sample. Use the formulas X = Xi- n i=1 1 X} – nX? п — 1 (Note: You can streamline the calculations by grouping the data first, as there are only 10 distinct values.) c. If the number of defective disks produced hourly is normally distributed with mean and variance computed in part (b), determine the probability that fewer than five defectives are observed in any particular hour. d. If each disk costs the company $5 to produce and defective disks are discarded, how long (in an expected-value sense) would it take to pay off a new piece of equipment costing $45,000 that would reduce defectives to half of the current level? Assume 40-hour production weeks and 48 weeks per year.
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To determine whether caffeine consumption affects the ability to solve math problems, a researcher had one group solve math problems after taking a cup of caffeinated drink and another group solve math problems after taking a cup of water. The group who took the caffeinated drink completed 35 problems in one hour and the group that had water completed 20 problems in one hour. Assuming the number of problems solved is normally distributed in each group, what statistical test would be used to test the research hypothesis? Explain your answer.
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