Question

i need help with number 1 letter a number 3 and number 5

Homework 7 IE 4613/6613: Engineering Statistics 1 DUE Thursday, April 11, 8:00am Directions: Complete the assigned problems below. You may work in groups on the problems; however, you must submit an assignment that you completed INDIVIDUALLY. All homework assignments are due at 8:00am (start of class) on the due date posted. All homework assignments must be submitted via Canvas. Accepted file formats are pdf, doc, and dosx. Assignment due dates are listed on the course schedule, and on each assignment within Canvas. 1. A manufacturer produces crankshafts for an automobile engine. The crankshafts wear after 100,000 miles is of interest because it is likely to have an impact on warranty claims. A random sample of n-15 shafts is tested and the sample mean is 2.78. It is known that ơ- 0.9 and that wear is normally distributed. Conduct a hypothesis test, with a-0.05, to determine if the mean wear is equal to 3 or not. What can you conclude? a) b) We do not reject Heo Consider the crankshaft problem (#1). What is the power orhis test if -325? a).1906 Consider the crankshaft problem (#1). Calculate a two-sided confidence interval on the mean H. What can you conclude? Does the mean equal 3 or not? Does this match your conclusion from your hypothesis test conducted in problem #1? 2. 3. Human oral normal body temperature is believed to be 98.6°F, but there is evidence that it actually should be 98.2°F. From a sample of 30 healthy adults, the mean oral temperature was 98.285 with a sample standard deviation of 0.625 degrees. Conduct a hypothesis test, with a-0.05, to determine if the mean temperature is 98.2 degrees or not. What can you conclude? 4. a) As p value>.05, fail to reject Ho b) The mean temp. is 98.2 5. When conducting hypothesis tests, you can calculate a p-value instead of using the rejection regions in order to reach your conclusion. What is the p-value for the crankshaft problem (#1)? Does it lead you to the same conclusion that you reached using the rejection regions? What is the p-value for the body temperature problem (#4)? Does it lead you to the same conclusion that you reached using the rejection regions? a. b.

Answer 1

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