Question

Ho H234 Hu μ<34 α:0025 a State the decision rule in terms of the critical value of the test statistic b State the calculated value of the test statistic (Round to four decimal places as needed) OA. Reject the nwull hypothesls if the calculated vaue of the test statistic, t, les than the crical vakuve of or greator than he crlical vave ofOtherwise do nat j OB. Reject the null hypothesis if the calculated valkue of the test stalistic,t is greater than the critical value of Otherwibe, do not reject OC. Rejact the null hypothesis if the calculated value of the test statlistic, t is less than the critical value of Othenwise, do not rojpect b State the calculated value of the test statistic Round to three decimal places as needed ) c State the conclusion. Choose the correct answer below O A. Reject the nul hypothesis. There is sufficient evidence that the mean is less than 34

Answer 1

The statistical software output for this problem is:

One sample T summary hypothesis test:
? : Mean of population
H₀ : ? = 34
H_A : ? < 34

Hypothesis test results:

Mean	Sample Mean	Std. Err.	DF	T-Stat	P-value
?	30	2.2	24	-1.8181818	0.0408

Hence,

a) Option C; -2.064

b) t = -1.818

c) Do not reject Ho. There is not sufficient evidence that mean is less than 34.