Question

A random sample of 22 STAT 250 students was collected and the file size of Data Analysis 2 was recorded. The data was measured in megabytes. The instructors of the course claim that the file size will be different from 5 megabytes. Consider the population of all file sizes to be right skewed. Using  = 0.01, is there sufficient evidence to conclude that the mean file size of Data Analysis 2 is different from 5 megabytes? Conduct a full hypothesis test by following the steps below. Enter an answer for each of these steps in your document.a) Define the population parameter in one sentence.b) State the null and alternative hypotheses using correct notation.c) State the significance level for this problem.d) Create a histogram and a box plot of the sample data and copy these into your document.e) Use the graphs created in part (d) to check the conditions that allow you to calculate the test statistic in one to two sentences.f) No matter your results in part (d & e), calculate the test statistic "by-hand." Show the work necessary to obtain the value by typing your work and provide the resulting test statistic. Do not round during the calculation. Then, round the test statistic to two decimal places after you complete the calculation.g) Use StatCrunch (Stat  T Stats  One Sample  with Data) to verify your test statistic. Copy and paste this box into your document.h) State the p-value using the output provided in part (g). Use four decimal places for the p-value. In addition, state the degrees of freedom.

Answer 1

Complete part of question:

Data:

Megabytes

7.72

4.49

8.17

5.51

9.09

7.41

6.31

2.04

5.5

3.85

4.43

3.97

0.89

5.41

4.49

4.88

2.21

1.97

6.82

9.8

5.96

7.65

Answer:

c. 0.01

d. 0.77

e. 0.4499

Explanation:

From the given information

n = 22, x = 5.3895 s = 2.3825

a). population parameter: mean file size of data analysis 2 is different from 5 megabytes

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