A teacher would like to determine if quiz scores improve after completion of a worksheet. The students take a pre-quiz b

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A teacher would like to determine if quiz scores improve aftercompletion of a worksheet. The students take a pre-quiz before theworksheet and then another quiz after the worksheet. Assume quizscores are normally distributed. The grades for each quiz are givenbelow. Use a significance level of α=0.05α=0.05. PairedTwo-Sample Means, Group 1 is the pre-quiz and group 2 is thepost-quiz: Pre-Quiz Scores < Post-Quiz Scores. H0:H0: μd=0 H1:H1: μd< 0
What is the test statistic? (Report answer accurate to 3 decimal places.)What is the p-value for this sample? (Report answer accurate to 4 decimal places.)The correct decision is to Select an answer accept thenull reject the null fail to reject thenull .The correct summary would be: Select an answer There isenough evidence to support There is not enough evidence tosupport There is enough evidence to reject There is notenough evidence to reject that the worksheet did improvethe average quiz scores.
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A manager wishes to see if the time (in minutes) it takes fortheir workers to complete a certain task will change when they areallowed to wear ear buds at work. A random sample of 20 workers'times were collected before and after. Test at a significancelevel of 0.10. For the context of thisproblem, μd=μa−μbμd=μa-μb where the first data setrepresents after and the second data set represents before. Assumethe population is normally distributed. Round answers to 3 decimalplaces. Ho:μd=0 Ha:μd≠0You obtain the following sample of data:
What is the critical value for this test? ±±What is the test statistic for this sample? The test statistic is Select an answer not in thecritical region in the critical region This test statistic leads to a decision to Select ananswer reject the claim reject the null fail toreject the null accept the null accept theclaim As such, the final conclusion is that