HW11 Skeleton

10.3

1.

1. 2.602

2. -1.729.

3. +/- 2.179

2.

1. 2.581

2. -2.462

3. +/- 2.738

3.

1. 1.379

2. -1.714

3. Skip this problem.

4. Not enough evidence to reject the null because the left-tail test and statistic test is greater than the critical value

4.

1. 40.43

2. 1.711, -1.711

3. Skip this problem.

4. We reject the null because the test statistic is greater than the critical value

5.

1. 2.502

2. -2.819, 2.819

3. Skip this problem.

4. Not sufficient evidence to reject the null, since the test statistic is between the critical values.

5. Lower bound = 99.39 and upper bound = 110.21. Since the 99% confidence interval includes 100, we do not reject the statement in the null

11.

(a)H0: M=$67, m>$67

Ho: = $67

Ha: > $67

2. There is a .02 probability of obtaining a sample mean of $67. If we obtained 100 simple random sample of size n = 40

3. Because p-value is low w ereject tehe statement in the null hypothesis

13.

Ho: = 22.

Ha: > 22

2. The sample is random. Sample size is large, n =200 >/30

3. Classical approach , and we would reject the null

4. There is sufficient evidence to conclude that students who complete scoring above 22 on the math portion of ACT

15.

p value < .0005

There is sufficient evidence to conclude that the mean volume of alcohol is less than the normal volume 17.

p value .25 > p value .2

There is not enough sufficient evidence

19.

lower bound = 35.44 upper bound = 42.356

There is not significant evidence to conclude that the mean average death-row inmate has changed.

10.4

1.

1. 28.869

2. 14.041

3. 16.047, 45.722

3.

1. 20.496

2. 13.091

3. Skip this problem

4. Do not reject H0 null hypothesis

13.

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

3.325

Not sufficient evidence to conclude that the standard deviation wait-time is less than 18 seconds

15.

15.639, 15.659

There is sufficient evidence to conclude that Rose is a more consistent player.