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# One sample t test for comparison of mean

6. The following data was collected on the thickness of glass being manufactured. The glass thickness is normally distributed.
0.262 0.256 0.263 0.223 0.251 0.238 0.184 0.248 0.189 0.204 0.217 0.255 0.240 0.197 0.237 0.265 0.275 0.236 0.225 0.234 0.261 0.296

a. If the manufacturer claimed that the glass was 0.250 inches thick, what would be the null hypothesis?
b. If the manufacturer claimed that the glass was 0.250 inches thick, what would be the alternate hypothesis?
c. Is there enough evidence to prove that the glass is not 0.250 inches thick at the 0.05 significance level?
d. What would be the confidence interval around the mean of this data, at the 0.05 significance level?

#### Solution Preview

Please see the attached file.

a. If the manufacturer claimed that the glass was 0.250 inches thick, what would be the null hypothesis?

b. If the manufacturer claimed that the glass was 0.250 inches thick, what would be the alternate hypothesis?

c. Is there enough ...

#### Solution Summary

The solution is related to thickness of glass data. One sample students t test is applied to examine whether the the sample support the claim of manufacturer.

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