SOLUTION: The hourly rate of janitors in a city had a mean of $15 and standard deviation rate of $3 in the past. In a recent random sample of 36 janitors, the mean hourly rate was 16.5. Perf
Algebra.Com
Question 981085: The hourly rate of janitors in a city had a mean of $15 and standard deviation rate of $3 in the past. In a recent random sample of 36 janitors, the mean hourly rate was 16.5. Perform the test of hypothesis to investigate whether the mean hourly rate for janitors has changed in the city. Use 0.05 level of significance.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The hourly rate of janitors in a city had a mean of $15 and standard deviation rate of $3 in the past. In a recent random sample of 36 janitors, the mean hourly rate was 16.5. Perform the test of hypothesis to investigate whether the mean hourly rate for janitors has changed in the city. Use 0.05 level of significance.
================
Ho: u = 15
Ha: u # 15 (claim)
----------------------
x-bar = 16.5
test stat:: z(16.5) = (16.5-15)/[3/sqrt(36)] = 1.5/(1/2) = 3
------
p-value = 2*P(z > 3 ) = 2*normalcdf(3,100) = 2*0.001 = 0.002
-----
Conclusion:: Since the p-value is less than 5%, reject Ho.
Conclusion:: The test results support the claim that u # 15.
-----------
Cheers,
Stan H.
------------
RELATED QUESTIONS
a) A consumer agency that proposes that lawyers’ rates in a particular city are too high... (answered by Boreal)
The reading speed of second grade students in a large city is approximately​ normal,... (answered by Boreal)
A recent survey found that 61% of all adults over the age of fifty wear glasses for... (answered by Boreal)
A random sample of 50 four-year-old’s attending day care centers provided a yearly... (answered by ikleyn)
The reading speed of second grade students in a large city is approximately... (answered by stanbon)
The marks in English in a recent test had a mean of 76% with a standard deviation of 7%.... (answered by Theo)
The homicide rate decreases at a rate of 5% per year in a city that had 900 homicides in... (answered by stanbon)
An insurance company noted that out of every 100 auto accidents in a small city, there... (answered by ewatrrr)
1. As part of a study to determine the effect of bumetanide on urinary calcium excretion, (answered by proyaop)