Question

Perform each of the following steps: a. State the hypotheses and identify the claim. b. Find the critical value(s). c. Compute the test value. d. Make the decision. e. Summarize the results.

SLEEP APNEA is a condition experienced by many more people than ever before. Recent surveys have shown that the average age of an apnea patient is 45.62 years with a stdev = 12.09 years. Jergel, believes this age has changed over the years and claims it is significantly different. His sample average was 50.2 years of age. Test Jergel’s claim ( at 90%) by answering the questions that follow---use a 90% confidence level and sample size of 36 patients   PROVIDE A DETAILED TEST by answering the questions below.----- DO NOT USE THE P-VALUE METHOD—USE THE TRADITIONAL METHOD

Answer 1

a)

H0: = 45.62

Ha: 45.62

b)

Critical values at 0.10 significance level = -1.645 , 1.645

c)

Test statistics

z = - / / sqrt(n)

= 50.2 - 45.62 / 12.09 / sqrt(36)

= 2.27

d)

Since test statistics falls in rejection region region (That is outside the critical value interval -1.645 , 1.645)

We have sufficient evidence to reject H0.

e)

At 90% confidence level, we conclude that we have enough evidence to support the claim.