2. Sarah claims she can long jump 20 ft on average, but her coach suspects her...

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2. Sarah claims she can long jump 20 ft on average, but her coach suspects her jump distances aren't far enough to win. a. Use your Pre-Activity work to complete a hypothesis test outlined in the steps below. Step 1: State hypotheses. Step 2: We need to verify that the appropriate sampling distribution for the test is the t-distribution. Do this by answering the following questions: O How do we know the data are a random sample? How do we know the population size is at least 10 times the sample size? Since the sample size is n = 16, the sample distribution must be approximately normal or only mildly skewed with no outliers. The shape of the sample dis- tribution from the Pre-Activity is and there (circle outliers, so this condition (circle one) is is not met. Step 3: Calculate the t-test statistic value and label the picture of the t-sampling distribution below with the null value and test statistic value on the x-axis, and shade the area corresponding to the p-value. one) are are no Since df = 15, the notation for this specific t-distribution is t(15). In R, pt(t,df) will give the area under the t-distribution to the left of t:. p-value since the alternative hypothesis specifies "less than." Step 4: State the conclusion using a significance level of a = 0.05. and this is the 2. Sarah claims she can long jump 20 ft on average, but her coach suspects her jump distances aren't far enough to win. a. Use your Pre-Activity work to complete a hypothesis test outlined in the steps below. Step 1: State hypotheses. Step 2: We need to verify that the appropriate sampling distribution for the test is the t-distribution. Do this by answering the following questions: O How do we know the data are a random sample? How do we know the population size is at least 10 times the sample size? Since the sample size is n = 16, the sample distribution must be approximately normal or only mildly skewed with no outliers. The shape of the sample dis- tribution from the Pre-Activity is and there (circle outliers, so this condition (circle one) is is not met. Step 3: Calculate the t-test statistic value and label the picture of the t-sampling distribution below with the null value and test statistic value on the x-axis, and shade the area corresponding to the p-value. one) are are no Since df = 15, the notation for this specific t-distribution is t(15). In R, pt(t,df) will give the area under the t-distribution to the left of t:. p-value since the alternative hypothesis specifies "less than." Step 4: State the conclusion using a significance level of a = 0.05. and this is the