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Easter candy expenditure per consumer is normally distributed with a standard deviation of $3.26. A candy...

Easter candy expenditure per consumer is normally distributed with a standard deviation of $3.26. A candy manufacturer claims that the average Easter candy expenditure per consumer is no less than $25. Seventeen consumers were randomly selected. The average Easter candy expenditure per consumer was found to be $23.86 with a standard deviation of $4.30. Can you reject the candy manufacturer's claim at α=.01?

For the hypothesis stated above, what is the test statistic?

Math   Statistics-And-Probability   
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Answer #1

Hypothesis : Vs  

Since , the sample size=n=17 with sample standard deviation=s=$4.30

Therefore , use t-test.

The test statistic is ,

The critical value is , ; From t-table

Decision : Here , the value of the test statistic is does not lies in the rejection region.

Therefore , fail to reject the null hypothesis.

Conclusion : Hence , there is not sufficient evidence to candy manufacturer claims that the average Easter candy expenditure per consumer is no less than $25.

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