We want to perform a hypothesis test of the statement that the population mean daily profit of a convenience store is more than490. So we record the daily gain for a random sample of days. The sample has a mean of498and a standard deviation of 77. For each of the following sampling cases, choose an appropriate test statistic for the hypothesis test on the population mean. Then calculate that statistic. Round answers to two decimal places. (to) The sample has size 16,and comes from a population that follows a normal distribution with an unknown standard deviation. -0 you It is not clear which test statistic to use. (b) The sample has a size of 100, and comes from a population that does not follow a normal distribution with a known standard deviation of 77. O z = you O It is not clear which test statistic to use.

In the past, the mean age of consumers of a product was 38 years. Recently the product has been drastically changed. In order to determine whether there has been a change in the mean age of the product consumers, a sample of 16 consumers is selected. The mean age in the sample is 33 years and the standard deviation in the sample is 10 years. Let u = the mean age of the current product (Problem Set #7) consumers. The value of the test statistic is Oa. -2.00 O b.-1.60 OC .0.8 O d. 4.21

A population has a mean μ = 82 and a standard deviation o = 16. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 64. H = (Simplify your answer.) ...

Use the formula to find the standard error of the distribution of differences in sample means, ₁ - ₂. Samples of size 35 from Population 1 with mean 3.1 and standard deviation 1.8 and samples of size 35 from Population 2 with mean 2.0 and standard deviation 1.4 Round your answer for the standard error to two decimal places. standard error = i

The output below is for a t-test for the hypothesis: Individuals living in bad neighborhoods commit more crime than those living in good neighborhoods. The data in the Group Statistics section provides you with the average number of crimes committed by individuals living in good and bad neighborhoods and the standard deviation of this same variable. The findings of significance are located in the Independent Samples Test section. Pay particular attention to the "t" column and the "Sig (2-tailed)"column. The "t" column is the t value that you would have calculated by hand (as we learned in class). The "Sig (2-tailed)"column provides you with the p value (the level of significance of this relationship). In this column, any value below .05 indicates that you would have rejected your null hypothesis. 1. Can someone tell me about the relationship of all these data? I'm trying to determine if my hypothesis, listed below, can be proven or disproven? 2. What is the independent variable and…

I am having trouble how to solve these...

For the following situation, find the mean and standard deviation of the population. List all samples (with replacement) of the given size from that population and find the mean of each. Find the mean and standard deviation of the sampling distribution and compare them with the mean and standard deviation of the population. The scores of three students in a study group on a test are 94, 93, 97. Use a sample size of 3. The mean of the population is (Round to two decimal places as needed.) C

Use the following information for questions 3 and 4.  A study of class lengths at two schools was done using independent samples. 31 classes were chosen from each. The first school had a mean length of 50.1 minutes and a standard deviation of 1.6 minutes. The second school had a mean length of 48.9 and a standard deviation of 2.2 minutes. We want to determine at α = 0.01 if the means are different. Assume all test conditions are satisfied. What are the null and alternate hypotheses (write in equation/inequality form)?

You are given the following information:  sample mean is equal to 103.55, population standard deviation is equal to 14.88, sample size is equal to 111 and the national average is equal to 109.  What would be the value of z-observed?