A certain type of stainless steel powder is supposed to have a mean particle diameter of μ = 15 µm. A random sample of 87 particles had a mean diameter of 15.2 µm, with a standard deviation of 1.8 µm. A test is made of H0: μ = 15 versus H1: μ ≠ 15. a) Find the P-value. b) Do you believe it is plausible that the mean diameter is 15 µm, or are you convinced that it differs from 15 µm? Explain your reasoning.

Question

A certain type of stainless steel powder is supposed to have a mean particle diameter of μ = 15 µm. A random sample of 87 particles had a mean diameter of 15.2 µm, with a standard deviation of 1.8 µm. A test is made of H0: μ = 15 versus H1: μ ≠ 15. a) Find the P-value. b) Do you believe it is plausible that the mean diameter is 15 µm, or are you convinced that it differs from 15 µm? Explain your reasoning.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: 7.3.29-1| Question Help A student wants to estimate the mean score of all college students for a par...

A: Solution: From the given information, the possible scores range from 200 to 1000. Here, the largest ...

Q: You measure 38 watermelons' weights, and find they have a mean weight of 52 ounces. Assume the popul...

A: The 95% confidence interval estimate of the population mean price for two tickets with online servic...

Q: the measure of center that is not sensitive to the presence of extreme values is the ______

A: Click to see the answer

Q: Below are the results of a survey of America's best graduate and professional schools.  The top 25 b...

A: Solution: The least squares equation is obtained by using EXCEL. Procedure: Enter the data in EXCEL...

Q: Let μ be the radiation level to which a radiation worker is exposed during the course of a year. The...

A: Click to see the answer

Q: The following MINITAB output (first shown in Exercise 16 in Section 6.1) presents the results of a h...

A: From the given information, Test of hypothesis: H0: µ =73 H0: µ ≠73

Q: Question 88 parts A and B

A: Click to see the answer

Q: Can you help me with question D, please? I am not sure if I am correct.   (this is not graded; it is...

A: Click to see the answer

Q: Question 75 parts A, B, and C

A: Solution: 75. a. From the given information, the sample size is n=40 and p=0.59. Here, Here, np and...