Calculate the test statistic and p-value for each sample mean and make the statistical decision (3...

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Statistics

Calculate the test statistic and p-value for each sample meanand make the statistical decision (3 points each).

1. H0: µ ≤ 16 versus H1: µ > 16, x = 17, s = 5, n = 25, α =0.05 test statistic___________ p-value___________ Decision (circleone) Reject the H0 Fail to reject the H0

2. H0: µ ≥ 205 versus H1: µ < 205, x = 198, σ = 15, n = 20, α= 0.05 test statistic___________ p-value___________ Decision(circle one) Reject the H0 Fail to reject the H0

3. H0: µ = 26 versus H1: µ<> 26, x = 22, s = 10, n = 30, α= 0.01 test statistic___________ p-value___________ Decision(circle one) Reject the H0 Fail to reject the H0

4. H0: µ ≥ 155 versus H1: µ < 155, x = 145, σ = 19, n = 25, α= 0.01 test statistic___________ p-value___________ Decision(circle one) Reject the H0 Fail to reject the H0

5. H0: µ ≥ 155 versus H1: µ < 155, x = 145, σ = 19, n = 15, α= 0.01 test statistic___________ p-value___________ Decision(circle one) Reject the H0 Fail to reject the H0

6. The mean cost of a basic rental car per week is said to begreater than $125 per week. To determine if this is true, a randomsample of 25 rental cars is taken and resulted in an average of$130.50 and an sample standard deviation of $15.40. Test theappropriate hypotheses at  = 0.05 (1 point each). H0:_________________ H1: _________________ Test statistic :_________________ p-value : _________________ Is the mean costgreater than $125/week ? (circle one) YES NO

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3.6 Ratings (573 Votes)
1 Given that population meanu16 sample mean x 17 standard deviation s 5 number n25 null Ho 16 level of significance 005 from standard normal tableright tailed t 2 1711 since our test is righttailed reject Ho if to 1711 we use test statistic t xusdsqrtn to 17165sqrt25 to 1 to 1 critical value the value of t with    See Answer
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