These data show the number of words found in a simple random sample of 32 paragraphs written by high school seniors.
51 36 48 68 72 55 46 49
38 42 41 50 64 70 30 38
42 39 55 54 44 58 61 84
63 34 36 57 51 45 41 60
1. use technology to find the mean and standard deviation of the sample.
2. construct a 90% confidence interval for the mean number of words in paragraphs written by all high school seniors. use a complete sentence to describe the confidence interval.

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.)