Claim: -40; 0.04; -3.64. Sample statistics: x-394, n 57 Ha: #40 Ha : -40 Calcula
ID: 3066378 • Letter: C
Question
Claim: -40; 0.04; -3.64. Sample statistics: x-394, n 57 Ha: #40 Ha : -40 Calculate the standardized test statistic The standardized test statistic is -1.24 Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your ch (Round to two decimal places as needed.) O A. The critical value is O B. The critical values are Click to select and enter your answer(s) and then click Check Answer 1 remaining part Clear AllExplanation / Answer
Solution:-
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: = 300
Alternative hypothesis: 300
Note that these hypotheses constitute a two-tailed test. The null hypothesis will be rejected if the sample mean is too big or if it is too small.
Formulate an analysis plan. For this analysis, the significance level is 0.05. The test method is a one-sample t-test.
Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).
SE = s / sqrt(n)
S.E = 0.48213
DF = n - 1
D.F = 56
t = (x - ) / SE
t = - 1.24
tcritical = + 2.103
where s is the standard deviation of the sample, x is the sample mean, is the hypothesized population mean, and n is the sample size.
Interpret results. Since the t-value (- 1.24) is does not lie in the rejection region(-2.103 > t > 2.103), hence we cannot reject the null hypothesis.