Aconsumer wanted to compare two types of battery storage. one type is refrigerated and the other is room temperature. it is a common belief that refrigerated batteries last longer. this belief is tested by placing 10 fully dash charged batteries into each type of storage and then measuring the percentage of charge remaining after thirty days. a coin flip was used to determine which type of storage each battery would be placed in first. results indicated that there was no difference in the two types of storage.

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)