23) Tes the claim that the mean lielime of a parialar ar engineis greater than 2
ID: 2949565 • Letter: 2
Question
23) Tes the claim that the mean lielime of a parialar ar engineis greater than 2000 miles Sample 23) data are summarized as n 23, x-226450 miles, and s a»001. State your conclusion about Ho- 11,500 miles. Use a A) Reject H0 and sufficient evidence to supporte the dlaim that mean lifetime of a particular car engine is greater than 220,000 miles particular car engine is greater than 220,000 miles particular car engine is greater than 220,000 miles. engine is greater than 220,000 miles. the claim that mean lifetime of a B) Do not Reject H0 and insufficient evidence to supporte H0 and sufficient evidence to supporte the claim that mean lifetime of a the claim that mean lifetime of a particular car D) Reject H0 and insufficient evidence to supporte particular university, the mean 24) 24) Test the claim that for the population of female college students at a 14.2 lb. weight is given by y 132 lb. Sample data are summarized as n-20 x-137 lb, and s Use a significance level of a -0.1 H0 : ?-132 Ha: ?#132 State your conclusion about Ho- A)t-1.57, do not reject Ho B)t-704, reject Ho Q z-157, do not reject Ho D) t-157, reject Ho E) t--1.57, do not reject Ho 25) Test the cdlaim that the mean age of the prison population at a certain facility is less than 26 years. 25) Sample data are summarized as n 25, x 24.4 years, and s 9.2 years. Use a significance level of ?-0.05. Ho: ?-26 Ha: ?Explanation / Answer
Solution:-
23)
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: u < 220,000
Alternative hypothesis: u > 220,000
Note that these hypotheses constitute a one-tailed test. The null hypothesis will be rejected if the sample mean is too small.
Formulate an analysis plan. For this analysis, the significance level is 0.01. 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 = 2397.916
DF = n - 1
D.F = 22
t = (x - u) / SE
t = 2.69
where s is the standard deviation of the sample, x is the sample mean, u is the hypothesized population mean, and n is the sample size.
The observed sample mean produced a t statistic test statistic of 2.69
Thus the P-value in this analysis is 0.007.
Interpret results. Since the P-value (0.007) is less than the significance level (0.01), we have to reject the null hypothesis.
(A) Reject H0 and sufficient evidence to support the claim that the mean lifetime of a particular car is greater than 220,000.
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