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To test H0: ? = 40 versus H1: ? > 40, a simple random
Chapter 6, Problem 4AYU(choose chapter or problem)
Problem 4AYU
To test H0: μ = 40 versus H1: μ > 40, a simple random sample of size n = 25 is obtained from a population that is known to be normally distributed.
(a) If x = 42.3 and 5 = 4.3, compute the test statistic.
(b) If the researcher decides to test this hypothesis at the α = 0.1 level of significance, determine the critical value.
(c) Draw a t-distribution that depicts the critical region.
(d) Will the researcher reject the null hypothesis? Why?
Questions & Answers
QUESTION:
Problem 4AYU
To test H0: μ = 40 versus H1: μ > 40, a simple random sample of size n = 25 is obtained from a population that is known to be normally distributed.
(a) If x = 42.3 and 5 = 4.3, compute the test statistic.
(b) If the researcher decides to test this hypothesis at the α = 0.1 level of significance, determine the critical value.
(c) Draw a t-distribution that depicts the critical region.
(d) Will the researcher reject the null hypothesis? Why?
ANSWER:
Answer :
Step 1
Here the hypothesis H0: μ = 40 versus H1: μ > 40, a simple random sample of size n = 25 is obtained from a population that is known to be normally distributed.
a)
We know that
= 42.3, s=4.3,