10.3

1.

  1. 2.602

  2. -1.729

  3. +- 2.179

2.

  1. 1.321

  2. -2.426

  3. +-2/738

3.

  1. -1.379

  2. -1.741

  3. Skip this problem.

  4. No, our test statistic didnt land in the reject region

4.

  1. 2.674

  2. 1.318

  3. Skip this problem.

  4. Yes, test stat landed in reject region 9 5.

  5. 2.502

  6. +-2.819

  7. Skip this problem.

  8. No, test stat doesnt fall in reject area

  9. (100, 109.59)

11.

Ho: mu = 67

Ha: mu > 67

  1. Theres a .02 probability the sample mean will be 73 or higher

  2. P value is less than alpha so we reject

13.

Ho: mu = 22

Ha: mu > 22

  1. Sample size (200) is larger than 30

  2. Test stat: 2.176 and 2.176 > 1.660 so we reject

  3. Students who take core cirriculum are scoring above a 22 on the ACT

15.

-4.55

reject null hypothesis

17.

.813

Do not reject null hypothesis

19.

(37.11, 40.69)

do not reject null hypothesis

10.4

1.

  1. 28.869

  2. 14.041

  3. 16.047, 42.722

3.

  1. 20.496

  2. 13.091

  3. Skip this problem

  4. no, test stat doesnt fall in rejection region

13.

Note. The sample standard deviation of the data shown is.\(15.205043\). You will have to knit this to see the number though.

6.422

do not reject

15.

15.639

reject