Question

The manufacturer of aerosol spray cans claims that cans must be able to withstand pressures, on average, greater than 500 lb/in2. Based on previous experience, it is assumed that the pressure that the cans fail is well-approximated by a normal distribution. Suppose 16 cans are randomly selected and subjected to pressure until they fail. Given that the mean failing pressure for this sample came out to be 507.6 lb/in2 and the standard deviation of this sample turned out to be 18 lb/in2, perform a hypothesis test to answer the following question: Is there evidence that the true mean failing pressure for the aerosol cans is actually greater than 500 lb/in2? Use α = 0.05 for the test, as outlined below:

A. Define the response variable of interest for this population.

B. Draw pictures, graphs and other pertinent information (including rejection region).

C. State the null and alternative hypothesis.

D. Find the critical value(s) associated with the level of significance.

E. Formulate the decision rule.

F. State your conclusion based on the evidence provided.

Answer 1

(0) Already stated above The critical values rcal 1.635 DOOS A) trab 1.75 nae ） ; df =15 id=4=15,2:0.05. ( Ho may potle vejected at 5 % level of significance (f) Thus, there is evidence to show proper the manufacturers this we cannot level significance Wll can either increase sample sine ou draw more representative to but the manufackiveby's claim. Mejores sample to

Thank you and please rate the answer.