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At the 0.05 level of significance, is there enough evidence to reject Ho and support the claim of the New Javelin manufacturer?

At the 0.05 level of significance, is there enough evidence to reject Ho and support the claim of the New Javelin manufacturer?

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
Section10.5: Comparing Sets Of Data
Problem 26PFA
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A high school track and field coach wants to see if a new javelin model will help increase the throw leng of his students. The table below lists the average length in meters using the old model and the new moc for his 5 student athletes. Tamar Jerry 44.1 Rodney Alex Jin Old Javelin 47.6 40.5 46.2 41.6 New Javelin 44.2 48.9 42.5 46.8 42.5 Difference d -0.1 -1.3 -2 -0.6 -0.9 -0.98 XXXXXXXX XXXXXXXX XXXXXXXX XXXXXXXX (d- d) (d - d) 0.88 -0.32 -1.02 0.38 0.08 0.7744 0.1024 1.0404 0.1444 0.0064 The manufacturer of the new javelin claims that with a 0.05 level of significance, the new javelin wi improve lengths of throws. Hi represents the population mean throw length of the Old Javelin. H2 represents the population mean throw length of the New Javelin. Ho: H1 = H2 H:1 < Hz (Claim)
Transcribed Image Text:A high school track and field coach wants to see if a new javelin model will help increase the throw leng of his students. The table below lists the average length in meters using the old model and the new moc for his 5 student athletes. Tamar Jerry 44.1 Rodney Alex Jin Old Javelin 47.6 40.5 46.2 41.6 New Javelin 44.2 48.9 42.5 46.8 42.5 Difference d -0.1 -1.3 -2 -0.6 -0.9 -0.98 XXXXXXXX XXXXXXXX XXXXXXXX XXXXXXXX (d- d) (d - d) 0.88 -0.32 -1.02 0.38 0.08 0.7744 0.1024 1.0404 0.1444 0.0064 The manufacturer of the new javelin claims that with a 0.05 level of significance, the new javelin wi improve lengths of throws. Hi represents the population mean throw length of the Old Javelin. H2 represents the population mean throw length of the New Javelin. Ho: H1 = H2 H:1 < Hz (Claim)
At the 0.05 level of significance, is there enough evidence to reject Ho and support the claim of the New Javelin manufacturer? Yes, because the test statistic is t = 2.1318. 3.05 which is in the rejection region with critical value O No, because the test statistic is t = value -3.05. - 2.13 which is NOT in the rejection region with critical Yes, because the test statistic is t = – 2.13 which is in the rejection region with critical value - 2.1318. O Yes, because the test statistic is t = – 2.59 which is NOT the rejection region with critical value - 3.05. O No, because the test statistic is t = value - 2.1318. - 3.05 which is NOT in the rejection region with critical
Transcribed Image Text:At the 0.05 level of significance, is there enough evidence to reject Ho and support the claim of the New Javelin manufacturer? Yes, because the test statistic is t = 2.1318. 3.05 which is in the rejection region with critical value O No, because the test statistic is t = value -3.05. - 2.13 which is NOT in the rejection region with critical Yes, because the test statistic is t = – 2.13 which is in the rejection region with critical value - 2.1318. O Yes, because the test statistic is t = – 2.59 which is NOT the rejection region with critical value - 3.05. O No, because the test statistic is t = value - 2.1318. - 3.05 which is NOT in the rejection region with critical
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