Use technology and a t test to test the claim about the population mean at the g
ID: 3322287 • Letter: U
Question
Use technology and a t test to test the claim about the population mean at the given level of significance a using the given sample statistics. normally distributed Claim, > 78, -0 10 Sample statistics: x-81 7. s = 3 4, n: 24 What are the null and alternative hypotheses? Choose the correct answer below O B. Ho H2 78 HA, = 78 HA >78 What is the value of the standardized test statistic? The standardized test statistic is [ (Round to two decimal places as needed ) What is the P-value of the test statistic? P-value (Round to three decimal places as needed) Decide whether to reject or fail to reject the null hypothesis Choose the cormect answer belo Click to select your answer(s)Explanation / Answer
sample size (n) = 24
sample mean (X_bar) = 81.7
standard deviation (s) = 3.4
assumed population mean (u) = 78
alpha (a) = 0.10
.
H0: u = 78
H1: u > 78
.
test statistic (t) = (x-u)/(s/sqrt(n))
t = (81.7-78) / (3.4/sqrt(24))
= 5.33
Since this is a 1-tailed test hence
degree of freedom = n-1 = 23
P_value = 0.010
Since P_value is not less than 0.01, H0 can not be rejected
OPTION B
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.