SOLUTION: Hi, - Claim: the population mean is greater than 948. Sample data: n = 100, x-bar = 972, s = 10.8. The data was taken from a simple random sample collected from a population

Question 537196: Hi, -
Claim: the population mean is greater than 948. Sample data: n = 100, x-bar = 972, s = 10.8. The data was taken from a simple random sample collected from a population with a standard distribution that appears to be far from normal, where standard deviation is unknown.
I need to identify the null and alternative hypothesis and identify the sampling distribution (normal, t, chi-square) of the test statistic.
Would Ho: = 948 and H1: > 948 be the correct hypothesis?
Thanks!
-SS

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Claim: the population mean is greater than 948. Sample data: n = 100, x-bar = 972, s = 10.8. The data was taken from a simple random sample collected from a population with a standard distribution that appears to be far from normal, where standard deviation is unknown.
I need to identify the null and alternative hypothesis and identify the sampling distribution (normal, t, chi-square) of the test statistic.
------------------
Ho: u <= 948
H1: u > 948 (claim)
-----------------
Newer texts tell you to use a t-distribution to find
the test statistic and p-value.
---
Older texts may say you should use a normal distribution
since n is greater than 30.
---
Check your text.
Cheers,
Stan H.
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