Estimate the the sample variance

A researcher wants to know if the news station a person watches is a factor in the amount of time (in minutes) that they watch. The table below shows data that was collected from a survey. Local FOX CNN 44 55 65 46 62 65 32 24 49 22 67 52 23 63 59 38 63 57 26 18 37 38   29 41     The test-statistic for this data =  (Please show your answer to 3 decimal places.) The p-value for this sample =  (Please show your answer to 4 decimal places.) The p-value is     αα  Base on this, we should      hypothesis As such, the final conclusion is that... There is sufficient evidence to support the claim that station is a factor in the amount of time people watch the news. There is insufficient evidence to support the claim that station is a factor in the amount of time people watch the news.

The ages​ (in years) of a random sample of shoppers at a gaming store are shown. Determine the​ range, mean,​ variance, and standard deviation of the sample data set.   12​, 20​, 23​, 14​, 18​, 18​, 19​, 18​, 15​, 19   1) The range is ______ 2) The mean is ______ 3) The variance is ________

Actuaries use various parameters when evaluating the cost of a life insurance policy. The variance of the life spans of a population is one of the parameters used for the evaluation. Each year, the actuaries at a particular insurance company randomly sample 30 people who died during the year (with the samples chosen independently from year to year) to see whether the variance of life spans has changed. The life span data from this year and from last year are summarized below. Current Last Year Year x1 = 75.8 | x,= 76.2 si= 47.61 s3= = 92.16 (The first row gives the sample means and the second row gives the sample variances.) Assume that life spans are approximately normally distributed for each of the populations of people who died this year and people who died last year. Can we conclude, at the 0.05 significance level, that the variance of the life span for the current year, of, differs from the variance of the life span for last year, o,? Perform a two-tailed test. Then complete the…