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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

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BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

Ackerman and Goldsmith (2011) found that students who studied text from printed hardcopy had better test scores than students who studied from text presented on a screen. In a related study, a professor noticed that several students in u large class had purchased the e-book version of the course textbook. Few the final exam, the overall average for the entire class was μ = 81.7 but the n = 9 students who used e-books had a mean of M – 77.2 with a standard division of s – 5.7.

a. Is the sample sufficient to conclude that scores for students using e-books were significantly different from scores for the regular class? Use a two-tailed lest with α = 0.5.

b. Construct the 90% confidence interval to estimate the mean exam score if the entire population used e-books.

c. Write a sentence demonstrating how the results from the hypothesis test and the confidence interval would appear in a research report.

a.

To determine

To Find: If the scores for students using e-book is significantly different from the scores of regular class using two-tailed test with α=0.05 .

Explanation

Given info:

A sample of 9 students using e-books are selected from a population with mean 81.7. The sample mean, and standard deviation (s) is found to be 77.2 and 5.7 respectively. Two-tailed hypothesis test using α=0.05 is to be performed.

Calculations:

Step 1: Null Hypothesis is H0:μ=81.7 and Alternate Hypothesis is H1:μ81.7

Step 2: For a sample of n=9 , the t-statistics will have (n1) degrees of freedom, i.e. df=8 . For a two-tailed test with α=0.05 and df=8 , the critical value (CV)  is obtained from the t-table as t=±2.306

Step 3: t-statistics can be calculated using formula:

t=Mμsm

Calculate sm using the formula:

sm=sn=5.79=5

b.

To determine

To Find: Make a 90% confidence interval estimate for the given question

c.

To determine

To State: How would the outcome of hypothesis test and confidence interval will appear in the research report.

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