In a hypothesis test, the claim is μ≤25 while the sample of 34 has a mean of 21 and a population standard deviation of 5.9 from a normally distributed data set. In this hypothesis test, would a z test statistic be used or a t test statistic and why?

Question

Mathematics

Spencer Owens

1 December, 13:35

In a hypothesis test, the claim is μ≤25 while the sample of 34 has a mean of 21 and a population standard deviation of 5.9 from a normally distributed data set. In this hypothesis test, would a z test statistic be used or a t test statistic and why?

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Answers (1)

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Jaime Ross · Answer 1

z test statistic

Step-by-step explanation:

Given : In a hypothesis test, the claim is μ ≤ 25 while the sample of 34 has a mean of 21 and a population standard deviation of 5.9 from a normally distributed data set.

To Find : In this hypothesis test, would a z test statistic be used or a t test statistic and why?

Solution:

Claim : μ ≤ 25

Sample size = n = 34

Population Standard Deviation = 5.9

Since n > 30 and we are given the standard deviation of population.

So, we will use z test statistics.

Hence In this hypothesis test, z test statistic would be used.