10.1

9.

Right tailed, population mean

10.

Left tailed, population proportion

11.

Two tailed, population standard deviation

12.

Right tailed, population proportion

13.

Left tailed, population mean

14.

Two tailed, population standard devation

15.

Ho: p=.105

H1: p>.105

Type I: When you reject the Ho when in fact the Ho is true

Type II: When you fail to reject the Ho when in fact the Ho is false

17.

Ho: m=218600

H1: m<218600

Type I: We find that m was not 218600 when in fact the m is 218600

Type II: We find that m is 218600 when in fact the m is less than 218600

19.

Ho: o=.7

H1: o<.7

Type I: We find that o is not .7 when in fact o is .7

Type II: We find that o is .7 when in fact o is less than .7

21.

Ho: m=47.47

H1: m≠47.7

Type I: We find that m is not 47.47 when in fact m is 47.47

Type II: We find that m is 47.7 when in fact m is not 47.7

10.2

7.

  1. 2.31
  2. .0104
  3. Reject Ho

9.

  1. -.74
  2. .2296
  3. Reject Ho

11.

  1. -1.49
  2. .0681
  3. Fail to reject (accept) Ho

13.

We would fail to reject Ho because if the p value is .2743, then that means 27 out of 100 samples will have a proportion that is greater than or equal to .5.

15.

  1. TS=.65 and CV=2.33

  2. Fail to reject Ho.

17.

  1. P=.1492

  2. Fail to reject Ho.

19.

  1. TS=2.59 and CV=1.645

  2. Reject Ho.

10.3

1.

  1. 2.602

  2. -1.729

  3. +/- 2.179

2.

  1. 1.321

  2. -2.426

  3. +/-2.739

3.

  1. -1.38

  2. -1.714

  3. Skip this problem.

  4. Fail to reject Ho because the test statistic is less than the critical value.

4.

  1. 2.67

  2. 1.318

  3. Skip this problem.

  4. Reject Ho because the test statistic is greater than the critical value.

5.

  1. 2.5

  2. +/-2.819

  3. Skip this problem.

  4. Fail to reject Ho because -2.8<2.5<2.8

  5. 99.39, 110.2

11.

Ho: m=67

Ha: m>67

  1. There is a .02 probability that there is a sample mean greater than or equal to $73 from a population whose mean is $67.

  2. Reject Ho

13.

Ho: m=22

Ha: m>22

  1. Condition: n>30, 200>30

  2. Reject Ho

  3. Students who complete the core curriculum are scoring 22 or higher.

15.

Test statistic= -4.5

Reject Ho

17.

Test statistic= .813

Fail to reject Ho

19.

35.44, 42.36

Fail to reject Ho, 40.7 is included in the interval

10.4

1.

  1. 28.869

  2. 14.041

  3. 16.047 and 45.722

3.

  1. 20.496

  2. 13.091

  3. Skip this problem

  4. Fail to reject Ho because the test statistic is greater than the critical value

x <- sd(c(108.5,80.4,67.4,95.5,58.0,86.3,75.9,70.9,65.1,72.0))
x
## [1] 15.20504

13.

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

6.42

Fail to reject Ho

15.

15.639

Reject Ho