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
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.
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