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2. A study published in the journal of Nature claimed that students showed an increase in average Score on IQ tests after listening to a Mozart piano sonata (The Mozart Effect). The study generated much interest among the general public and researchers. Suppose you tried to verify the claim as follows. Thirty students were randomly assigned into two groups of 15 each. To the students in the first group, an IQ test was administered after they listened a Mozart piano sonata for 10 minutes. To the second group, the same test was administered without the music. The following are the results: Sample 1 Sample 2 s1 = 5.7 $2 = 6.2 ni = 15 103.12 n2 = 15 T2 = 99.9 Based on the data, is there sufficient evidence in the samples to believe that the Mozart effect exists? Use a = 0.05. (Hint: Follow the steps 1) identify the case; 2) set the alternative hypothesis; 3) set the null hypothesis; 4) find the rejection region; 5) calculate the test statistic; and 6) make decision.)

2. A study published in the journal of Nature claimed that students showed an increase in average Score on IQ tests after listening to a Mozart piano sonata (The Mozart Effect). The study generated much interest among the general public and researchers. Suppose you tried to verify the claim as follows. Thirty students were randomly assigned into two groups of 15 each. To the students in the first group, an IQ test was administered after they listened a Mozart piano sonata for 10 minutes. To the second group, the same test was administered without the music. The following are the results: Sample 1 Sample 2 s1 = 5.7 $2 = 6.2 ni = 15 103.12 n2 = 15 T2 = 99.9 Based on the data, is there sufficient evidence in the samples to believe that the Mozart effect exists? Use a = 0.05. (Hint: Follow the steps 1) identify the case; 2) set the alternative hypothesis; 3) set the null hypothesis; 4) find the rejection region; 5) calculate the test statistic; and 6) make decision.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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2. A study published in the journal of Nature claimed that students showed an increase in average Score on IQ tests after listening to a Mozart piano sonata (The Mozart Effect). The study generated much interest among the general public and researchers. Suppose you tried to verify the claim as follows. Thirty students were randomly assigned into two groups of 15 each. To the students in the first group, an IQ test was administered after they listened a Mozart piano sonata for 10 minutes. To the second group, the same test was administered without the music. The following are the results: Sample 1 Sample 2 s1 = 5.7 82 = 6.2 n1 15 I1 = 103.12 n2 = 15 T2 = 99.9 Based on the data, is there sufficient evidence in the samples to believe that the Mozart effect exists? Use a = 0.05. (Hint: Follow the steps 1) identify the case; 2) set the alternative hypothesis; 3) set the null hypothesis; 4) find the rejection region; 5) calculate the test statistic; and 6) make decision.)
Transcribed Image Text:2. A study published in the journal of Nature claimed that students showed an increase in average Score on IQ tests after listening to a Mozart piano sonata (The Mozart Effect). The study generated much interest among the general public and researchers. Suppose you tried to verify the claim as follows. Thirty students were randomly assigned into two groups of 15 each. To the students in the first group, an IQ test was administered after they listened a Mozart piano sonata for 10 minutes. To the second group, the same test was administered without the music. The following are the results: Sample 1 Sample 2 s1 = 5.7 82 = 6.2 n1 15 I1 = 103.12 n2 = 15 T2 = 99.9 Based on the data, is there sufficient evidence in the samples to believe that the Mozart effect exists? Use a = 0.05. (Hint: Follow the steps 1) identify the case; 2) set the alternative hypothesis; 3) set the null hypothesis; 4) find the rejection region; 5) calculate the test statistic; and 6) make decision.)
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