Question

a data set includes weights (in grams) of 38 reeses peanut butter cup miniat display shows results from using all 38 weights to test the claim that the samp to 8.953 g. test the given claim by using the display provided from statdisk. u click the icon to view the statdisk display. statdisk display t test test statistic, t: -3.72385 critical t: ±2.02619 p - value: 0.00065 identify the test statistic. - 3.72 (round to two decimal places as needed.) identify the p - value. 0.001 (round to three decimal places as needed.) state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. the null hypothesis. there sufficient evidence at the 0.05 significance level to the claim that the sample is from a population with a mean equal to 8.953 g.

Explanation:

Step1: Determine the decision rule

If the P - value is less than the significance level ($\alpha = 0.05$), we reject the null hypothesis.

Step2: Compare the P - value and the significance level

The P - value is $0.00065$. Since $0.00065<0.05$.

Answer:

Reject the null hypothesis. There is sufficient evidence at the 0.05 significance level to reject the claim that the sample is from a population with a mean equal to $8.953$ g.