Whether to use Z or T test statistic for a sample of 50, known sample variance and unknown population variance

unjulpild9b

unjulpild9b

Answered question

2022-09-26

Whether to use Z or T test statistic for a sample of 50, known sample variance and unknown population variance

Answer & Explanation

Mckayla Carlson

Mckayla Carlson

Beginner2022-09-27Added 7 answers

The p values for either test are so small that it makes little difference in this case. Even if the sample mean were 15.81 oz, no error would be made in rejecting the null at the . 05 level even though both are very close to, but less than, . 05. While there appears to be no significant difference at n = 50, my reason for not using a Z test is having to remember at which n value there is no significant difference.

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