Use a? t-test to test the claim about the population mean mu at the given level
ID: 3369819 • Letter: U
Question
Use a? t-test to test the claim about the population mean mu at the given level of significance alpha using the given sample statistics. Assume the population is normally distributed. ?Claim: muequals51 comma 500?; alphaequals0.05????Sample? statistics: x overbarequals52 comma 409?, sequals2700?, nequals19 LOADING... Click the icon to view the? t-distribution table. What are the null and alternative? hypotheses? Choose the correct answer below. A. H0?: muless than or equals51 comma 500 Ha?: mugreater than51 comma 500 B. H0?: muequals51 comma 500 Ha?: munot equals51 comma 500 C. H0?: munot equals51 comma 500 Ha?: muequals51 comma 500 D. H0?: mugreater than or equals51 comma 500 Ha?: muless than51 comma 500 What is the value of the standardized test? statistic? The standardized test statistic is nothing. ?(Round to two decimal places as? needed.) What? is(are) the critical? value(s)? The critical? value(s) is(are) nothing. ?(Round to three decimal places as needed. Use a comma to separate answers as? needed.) Decide whether to reject or fail to reject the null hypothesis. A. Reject Upper H 0. There is not enough evidence to reject the claim. B. Reject Upper H 0. There is enough evidence to reject the claim. C. Fail to reject Upper H 0. There is enough evidence to reject the claim. D. Fail to reject Upper H 0. There is not enough evidence to reject the claim.
Explanation / Answer
The statistical software output for this problem is:
One sample T summary hypothesis test:
? : Mean of population
H0 : ? = 51500
HA : ? ? 51500
Hypothesis test results:
Hence,
Hypotheses: Option B is correct.
Test statistic = 1.47
Critical values = -2.101, 2.101
Conclusion: Option D is correct.
Mean Sample Mean Std. Err. DF T-Stat P-value ? 52409 619.42248 18 1.467496 0.1595Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.