SOLUTION: A ski shop manager claims that the average of the sales for her/his shop is $1800 a day during the winter months. Ten winter days are selected at random, and the mean of the sales

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Question 463673: A ski shop manager claims that the average of the sales for her/his shop is $1800 a day during the winter months. Ten winter days are selected at random, and the mean of the sales is $1830. The standard deviation of the population is $200. Can one reject the claim at α = 0.05? Find the 95% confidence interval of the mean. Does the confidence interval interpretation agree with the hypothesis test results? Explain. Assume that the variable is normally distributed
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
H[o]=1800

n=10, m=1830, s=200
.

t[.025][9]=2.262 (two tailed)
Since .474<2.262 then we accept the null hypothesis. The ski shop manager is not refuted.
.
Ed

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