10.3

1.

  1. 2.602

  2. -1.729

  3. +/- 2.179

2.

  1. 1.321

  2. -2.426

  3. +/- 2.738

3.

  1. t0 = -1.379

  2. -t0.05 = -1.714

  3. skip

  4. No, because the critical value is not located to the left of the value of the null hypothesis

4.

  1. t0 = 2.674

  2. t0.1 = 1.318

  3. skip

  4. Yes,because the critical value lies to the right of the null hypothesis

5.

  1. Type answer here.t0 = 2.502

  2. -t0.02 = -2.189

  3. skip

  4. No, because the critical value does not lie to the left of the null hypothesis

  5. Type answer here.

11.

Ho: mu = $67 H1: mu > $67

  1. The value signies that there is a strong evidence against the null, hence we reject it

  2. TWe reject the null hypothesis as there is strong evidence pointing against it

13.

Ho: mu = 22

H1: mu > 22

  1. The sample is random. The sample size is large. We can assume that the sample is small relative to the population, so the scores are independent.

  2. Classical approach: t0 = 2.176 > t0.05 = 1.660; reject the null hypothesis P-value approach: 0.01 < P-value < 0.02; reject the null hypothesis

  3. There is enough evidence to conclude that students who complete the core curriculum are scoring above 22 on the math portion of the ACT.

15.

P-value < 0.0005 < 0.01; reject the null hypothesis

17.

0.25 > P-value > 0.20 > 0.05; don’t reject null hypothesis

19.

Confidence interval: Lower bound: 35.44 years; Upper bound: 42.36 years. Because the interval includes 40.7 years, there is not enough evidence to conclude that the mean age of people on death row has changed since 2002.

10.4

1.

  1. x^2(0.05) = 28.869

  2. x^2(0.9) = 14.041

  3. x^2(0.975) = 16.047; x^2(0.025) = 45.722

3.

  1. x^2(0) = 20.496

  2. x^2(0.95) = 13.091

  3. Skip but feel free to sketch on a piece of paper for your benefit.

  4. No, because x^2(0) > x^2(0.95)

13. Feel free to use any method you want. If you use the classical method please report the value of your test statistic and your decision. Likewise if you use the pvalue method please state your pvalue and your decision. Hint: The sample standard deviation (s) is 15.20.

0.10 < P-value < 0.90 Do not reject null hypothesis at the 0.05 level of significance.

15. Feel free to use any method you want. If you use the classical method please report the value of the test statistic and your decision. Likewise if you use the pvalue method please state your pvalue and your decision.

0.05 < P-value < 0.10 < 0.10 There is enough evidence to conclude that Rose is a more consistent player than the other shooting guards.