Significance Tests and Confidence Intervals Answers

18 verified answers
1
Free Preview

Based upon the confidence interval, can the sleep scientist reject the null hypothesis?

A
She can reject the null hypothesis at = 0.05 because 7.5 is not contained in the 95% confidence interval.
Option A
B
She cannot reject the null hypothesis at = 0.05 because 7.5 is not contained in the 95% confidence interval.
Option B
C
She can reject the null hypothesis at = 0.01 because 7.5 is not contained in the 95% confidence interval.
Option C
D
She cannot reject the null hypothesis at = 0.01 because 7.5 is not contained in the 95% confidence interval.
Option D
167556
Free Preview

one-sided✔ two-sided

Answers:
When a test is ::two-sided
If the value of interest falls outside a 95% confidence interval, we will reject the null hypothesis at the = significance level.:0.05
If the value of interest falls outside a 99% confidence interval, we will reject the null hypothesis at the = significance level.:0.01
167557

0.01✔ 0.050.10

A
0.01
B
✔ 0.05
C
0.10
167558

✔ 0.010.050.10

A
✔ 0.01
B
0.05
C
0.10
167559

Based on the confidence interval, what conclusion would you make for a test of these hypotheses?

Answers:
The 99% confidence interval include as a plausible value, so we would H0. We convincing evidence that the true mean hours of NREM sleep per night for adults who use a weighted blanket 5 hours.:does not
The 99% confidence interval include as a plausible value, so we would H0. We convincing evidence that the true mean hours of NREM sleep per night for adults who use a weighted blanket 5 hours.:5
The 99% confidence interval include as a plausible value, so we would H0. We convincing evidence that the true mean hours of NREM sleep per night for adults who use a weighted blanket 5 hours.:reject
The 99% confidence interval include as a plausible value, so we would H0. We convincing evidence that the true mean hours of NREM sleep per night for adults who use a weighted blanket 5 hours.:have
The 99% confidence interval include as a plausible value, so we would H0. We convincing evidence that the true mean hours of NREM sleep per night for adults who use a weighted blanket 5 hours.:is different from
167560

✔ 55.15.87.5

A
✔ 5
B
5.1
C
5.8
D
7.5
167561

✔ rejectfail to reject

A
✔ reject
B
fail to reject
167562

✔ havedo not have

A
✔ have
B
do not have
167563

equals✔ is different fromis greater thanis less than

A
equals
B
✔ is different from
C
is greater than
D
is less than
167564

Based on the confidence interval, what conclusion would you make for a test of these hypotheses?

Answers:
The 95% confidence interval include as a plausible value, so we H0. We convincing evidence that the true mean amount of REM sleep per night for babies 6 hours.:does
The 95% confidence interval include as a plausible value, so we H0. We convincing evidence that the true mean amount of REM sleep per night for babies 6 hours.:6
The 95% confidence interval include as a plausible value, so we H0. We convincing evidence that the true mean amount of REM sleep per night for babies 6 hours.:fail to reject
The 95% confidence interval include as a plausible value, so we H0. We convincing evidence that the true mean amount of REM sleep per night for babies 6 hours.:do not have
The 95% confidence interval include as a plausible value, so we H0. We convincing evidence that the true mean amount of REM sleep per night for babies 6 hours.:is different from
167565

5.45✔ 66.258

A
5.45
B
✔ 6
C
6.25
D
8
167566

reject✔ fail to reject

A
reject
B
✔ fail to reject
167567

have✔ do not have

A
have
B
✔ do not have
167568

equals✔ is different fromis greater thanis less than

A
equals
B
✔ is different from
C
is greater than
D
is less than
167570

The power of this test to reject 7.5 hours, if the true mean is , is 0.57.

Answers:
If the true amount of sleep per day for highly productive individuals is = , there is a 0.57 probability that the scientist will find convincing evidence for .:mean
If the true amount of sleep per day for highly productive individuals is = , there is a 0.57 probability that the scientist will find convincing evidence for .:7
If the true amount of sleep per day for highly productive individuals is = , there is a 0.57 probability that the scientist will find convincing evidence for .:the alternative hypothesis
167571

✔ 77.5

A
✔ 7
B
7.5
167572

✔ the alternative hypothesisthe null hypothesis

A
✔ the alternative hypothesis
B
the null hypothesis

Did you find these answers helpful?