You are conducting a quality control inspection of a factory's products. Each item has a 95%probability of passing the Inspection.a) Write the expression of the distribution function for this scenario and plot theprobability, cumulative, and quantile distribution functions.b) Simulate 999 random samples of product inspections, and construct a histogram.Clearly indicate the x and y axes.c) Find the probability that at least 900 out of 1000 items pass the inspection.

what is the test statistic?

An employment information service claims the mean annual salary for senior level product engineers is $96,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At a=0.10, test the claim that the mean salary is $96.000. Complete parts (a) through (e) below. Assume the population is normally distributed (a) Identify the claim and state Ho and H₂. Ho Y M H₂ N ▼ (Type integers or decimals. Do not round.) The claim is the hypothesis. (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are to (Use a comma to separate answers as needed. Round to two decimal places as needed.). Choose the graph which shows the rejection region О А. 15-6.176 4 -ho to Q Q (c) Find the standardized test statistic, t The standardized test statistic is t- (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Ho because the…

Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, μ, spent by customers at the supermarkets has been reported to be 38 minutes, but executives have good reason to believe that u is different from 38 minutes. The executives hire a statistical consultant and ask her to perform a statistical test. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 44 minutes and the standard deviation of the times to be 10 minutes. Based on this information, complete the parts below. (a) what are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? Ho H₁ :0 (b) Suppose that the consultant decides not to reject the null hypothesis. What sort of error might she be making? (Choose one) ▼ (c) Suppose the true mean shopping time spent by customers at the supermarkets is…