The following are observations (x₁, y;) taken from units in a textile process: (12,12), (12,17), (14,15), (14,18), (16,24), (20,31), (24,40). For the i-th unit, x; is the length of material and y; is the number of imperfections detected. It is assumed that the number of imperfections will be modelled with a generalized linear model considering a Poisson distribution and a logarithmic link for the linear predictor ni Po + P₁x₁. Analyze the data using the function glm in R and process the data

The graph portrays the decision criterion for a hypothesis test for a population mean. The null hypothesis is H,: u=Hn. The curve is the normal curve for the test statistic under the assumption that the null hypothesis is true. Use the graph to solve the problem. A graphical display of the decision criterion follows. Reject H, Do not reject H, Reject H, 3. 0.01 10.01 -2.326 2.326 Determine the critical value(s). O-2326, 2.326 O All z-scores that lie between -2.326, 2.326 02326 0-2326

F25 In 201347% indicated that 31 of business owners gave a holiday gift to their employees. A 2014 survey of 33 business owners % plan to provide a holiday gift to their employees. Is there reason to believe the proportion , of business owners providing gifts has decreased at a-0.005? (See exercise 40 on page 418 of your textbook for a similar problem.) For the hypothesis stated above... Question 1What is/are the critical value(s)? Question 2 What is the test statistic? Question 3 What is the conclusion?

Q5: Rank the data and use the Mann-Whitney U-test to solve for U2. Round your answer to 1 decimal place