Question

Problem 5: On a certain snow-covered track, the mean stopping distance is 215m with standard deviation ? = 2.5m. A tire company claims that its new snow tires can perform better. A random sample of 9 snow tires had a mean stopping distance of 213m. Is the improvement in the new snow tires statistically significant at the 0.05 confidence level? (a) State the hypotheses H0 and HA H0: ? = 215 HA: ? < 215 (b) Specify your test statistic and its sampling distribution. For the t-distribution, specify its degrees of freedom. (c) Compute the test statistic. (d) Estimate or compute the P-value as accurately as possible using the tables (or your calculator). (e) Would you Reject or Fail to reject (accept) H0 at the given significance level? What does that mean in this case?

          Problem 5:
On a certain snow-covered track, the mean stopping distance is 215m with standard deviation ? = 2.5m. A tire company claims that its new snow tires can perform better. A random sample of 9 snow tires had a mean stopping distance of 213m. Is the improvement in the new snow tires statistically significant at the 0.05 confidence level?

(a) State the hypotheses H0 and HA
H0: ? = 215    HA: ? < 215

(b) Specify your test statistic and its sampling distribution. For the t-distribution, specify its degrees of freedom.

(c) Compute the test statistic.

(d) Estimate or compute the P-value as accurately as possible using the tables (or your calculator).

(e) Would you Reject or Fail to reject (accept) H0 at the given significance level? What does that mean in this case?

Problem 5:
On a certain snow-covered track, the mean stopping distance is 215m with standard deviation ? = 2.5m. A tire company claims that its new snow tires can perform better. A random sample of 9 snow tires had a mean stopping distance of 213m. Is the improvement in the new snow tires statistically significant at the 0.05 confidence level?

(a) State the hypotheses H0 and HA
H0: ? = 215 HA: ? < 215

(b) Specify your test statistic and its sampling distribution. For the t-distribution, specify its degrees of freedom.

(c) Compute the test statistic.

(d) Estimate or compute the P-value as accurately as possible using the tables (or your calculator).

(e) Would you Reject or Fail to reject (accept) H0 at the given significance level? What does that mean in this case?

Added by Jorge F.

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