To promote its services, a walk-in medical clinic claims that the mean waiting time required for patients to see a doctor is 15minutes or less. To investigate this claim, a local consumer agency sent a sample of 36 “sick” people to the clinic. These people had to wait, on average, 20 minutes to see a doctor. The population standard deviation is known to be 9 minutes. Compute the value of the appropriate test statistic to test this claim.
Enter your answer as a decimal rounded to two places.
Test statistic =
Solution :
This is the left tailed test .
The null and alternative hypothesis is ,
H0 : =15
Ha : < 15
Test statistic = z
= ( - ) / / n
= (20 - 15) / 9 / 36
Test statistic = 3.33
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