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In a study conducted by some Statistics students, 68 people were randomly assign

ID: 3143391 • Letter: I

Question

In a study conducted by some Statistics students, 68 people were randomly assigned to listen to rap music or music by Mozart while attempting to memorize objects pictured on a page. They were then asked to list all the objects they could remember. The summary statistics for each group are shown in the table. Complete parts a and b. a) Does it appear that it is better to study while listening to Mozart than to rap music? Test an appropriate hypothesis and state your conclusion. Let group M correspond to Mozart listeners and group R correspond to rap listeners. Write the null and alternative hypotheses. Choose the correct answer below. A. H_0: mu_M = mu_R = 0 H_A: mu_M = mu_R, 0 B. H_0: mu_M = mu_R = 0 H_A: mu_M = mu_R notequalto 0 C. H_0: mu_M = mu_R 0 Test the hypothesis. t = (Round to two decimal places as needed.) p = (Round to four decimal places as needed.) State your conclusion. Use alpha = 0.05. H_0 There evidence that the mean number of objects remembered by those who listen to Mozart is higher than the mean number of objects who listen to rap music.

Explanation / Answer

Two-Sample T-Test and CI

Method

Equal variances are not assumed for this analysis.

Descriptive Statistics

Estimation for Difference

Test

a) option D) is correct

t = 1.42

p-value = 0.92

since p-value > 0.05

do not reject ho , there is insufficient evidence

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: mean of Sample 1 µ: mean of Sample 2 Difference: - µ