Hans plays a game when he exercises. He chooses a marble from a bag of three marbles: one is blue, one is red, and one is green. Based on the marble hechooses, he completes a certain number of push-ups, as shown below.Marble Number of push-upsblueredgreen10Consider choosing a marble like sampling from a population. (The population mean of the number of push-ups is u=9.00 and the population standarddeyiation is o =0.82.)(a) Suppose a sample of size 2 is randomly selected from the population, with replacement, as follows. One marble is randomly chosen, the number of push-ups is completed, and the marble is put back into the bag. Then for a second time a marble is randomly chosen and the number of push-ups is completed.There are 9 possible samples. The numbers of push-ups for several of the possible samples have been listed in the table below. Enter the numbers ofpush-ups for the remaining possible samples. When you are done, select "Compute". In the "Sample mean, x" column, you will then see the sample meanof the numbers of push-ups for each sample, along with the mean and standard deviation of all the column's values.NumbersIndexSampleof push-Sample mean, xupsblue, blue8, 8blue, red8, 93.blue, green8, 104red, bluered, red0.0red, green0.07green, blue10,88.green, red10,9green, green10, 10ComputeMean:Standard deviation:ExplanationCheck (b)Use the table from part (a) to find(the mean of the sampling distribution of the sample mean) and o- (the standard deviation of the samplingdistribution of the sample mean). Write your answers to two decimal places.(c)Graph the frequency histograms for the population distribution and the sampling distribution of the sample mean.Population distributionSampling distribution of the sample meanFrequencyFrequency5-5.43-3.241-0-9.Number of push-ups10S.5199.510Sample mean

Sampling distribution of the sample mean is an important concept in statistics.

Answered: Suppose a sample of size 2 is randomly…

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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Equip male and female students with a small device that secretly records sound for a random 30 seconds during each 12.5-minute period over two days. Count the words each subject speaks during each recording period, and from this, estimate how many words per day each subject speaks. The published report includes a table summarizing six such studies.12 Here are two of the six: Readers are supposed to understand that, for example, the 56 women in the first study had x 16,177 and s 7520. It is commonly thought that women talk more than men. Does either of the two samples support this idea? For each study: (a) State hypotheses in terms of the population means for men (M) and women (F). (b) Find the two-sample t statistic. (c) What degrees of freedom does Option 2 use to get a conservative P-value? (d) Compare your value of t with the critical values in Table C. What can you say about the P-value of the test? (e) What do you conclude from the results of these two studies?
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