# Test of Hypothesis Using T test

From a population of cereal boxes marked "12 ounces," a sample of 16 boxes is selected and the contents of each box weighed. The sample revealed a mean of 11.7 ounces with a standard deviation of 0.8. Test to see if the mean of the population is at least 12 ounces. Use a 0.05 level of significance. (may use traditional or p-value method)

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#### Solution Preview

From a population of cereal boxes marked "12 ounces," a sample of 16 boxes is selected and the contents of each box weighed. The sample revealed a mean of 11.7 ounces with a standard deviation of 0.8. Test to see if the mean of the population is at least 12 ounces. Use a 0.05 level of significance. (may use traditional or p-value method)

Data

Hypothesized mean= 12 ounces

Standard deviation= 0.8 ounces

Sample mean= 11.7 ounces

Sample size= 16

Significance level= 0.05 0r 5%

Population standard deviation (Known, Not Known)= Not Known

1) Hypothesis ...

#### Solution Summary

The hypothesis that the mean of the population of cereal boxes is at least 12 ounces has been tested.