1. A tire manufacturer claims that its tires have a mean life of at least 50000 km. A random sample of 25 of these tires is tested and the mean life is 33000 km. Suppose the population standard deviation is 2500 km and the lives of tires is approximately normal. To test the manufacturer’s claim at the 5% level of significance, the analyst should perform a right-tailed test using the t statistic. perform a left-tailed test using the t statistic. perform a right-tailed test using the z statistic. perform a left-tailed test using the z statistic.
1. A tire manufacturer claims that its tires have a mean life of at least 50000 km. A random sample of 25 of these tires is tested and the mean life is 33000 km. Suppose the population standard deviation is 2500 km and the lives of tires is approximately normal. To test the manufacturer’s claim at the 5% level of significance, the analyst should
perform a right-tailed test using the t statistic.
perform a left-tailed test using the t statistic.
perform a right-tailed test using the z statistic.
perform a left-tailed test using the z statistic.
2.To test Ho: μ1- μ2 ≥ 5 vs Ha: μ1 - μ2 < 5 at the 5% level of significance where σ1 and σ2 are known, the appropriate decision rule would be
Reject Ho if Zcomp ≥ 1.96. Otherwise, fail to reject Ho.
Reject Ho if Zcomp ≥ 1.645. Otherwise, fail to reject Ho.
Reject Ho if Zcomp ≤ -1.96. Otherwise, fail to reject Ho.
Reject Ho if Zcomp ≤ -1.645. Otherwise, fail to reject Ho.
When using a statistical software such as R for hypothesis testing, the p-value is compared with the _________________ to determine whether the Ho is rejected or not.
Critical value of the test statistic.
Computed value of the test statistic.
Level of significance.
Degrees of freedom.
4. This is the type of hypothesis test applied when the alternative hypothesis specifies a one directional difference for the parameter of interest.
One-sample t test
One-tailed test
Two-sample t test
Two-tailed test
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