SOLUTION: Perform a Hypothesis test for the population mean. Assume that preliminary data analyses indicate that it is reasonable to apply the z-test. Use the critical value approach. A man

Algebra.Com
Question 862643: Perform a Hypothesis test for the population mean. Assume that preliminary data analyses indicate that it is reasonable to apply the z-test. Use the critical value approach.
A manufacturer makes steel bars that are supposed to have a mean length of 50cm. A retailer suspects that the bars are running too long. A sample of 55 bars are taken and their mean length is determined to be 51cm. Using a 1% level of significance, perform a hypothesis test to determine whether the population mean is greater then 50 cm. Assume that the population standard deviation is 3.6cm.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
z = (51-50)/(3.6/sqrt(55)) = 2.06
CI z -value
90% z =1.645
92% z = 1.751
95% z = 1.96
98% z = 2.326
99% z = 2.576
2.06 < 2.576 Do not reject Ho at the 1% level of significance
RELATED QUESTIONS

PLEASE HELP ME SOLVE THIS PROBLEM 2.Use the method specified to perform the... (answered by stanbon)
A leasing firm claims that the mean number of miles driven annually, , in its leased... (answered by stanbon)
Assume that a sample is used to estimate a population proportion p. To find the 99%... (answered by Boreal,ikleyn)
Managers at an automobile manufacturing plant would like to examine the mean completion... (answered by stanbon)
Hypothesis test for the population mean: t test An electronics manufacturing process... (answered by stanbon)
REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a... (answered by ikleyn)
Assume that the population standard deviations are equal for income mutula funds and... (answered by stanbon)
The Hudson Valley Bottling Company distributes root beer in bottles labeled 32 ounces.... (answered by stanbon)
Please help me solve these problems. 1. Calculate the sample mean and standard... (answered by stanbon)