Question

In: Statistics and Probability

1. If we want to provide a 91% confidence interval for the mean of a population, __ is the confidence coefficient.

 

1. If we want to provide a 91% confidence interval for the mean of a population, __ is the confidence coefficient.

a) 1.7 b) .09 c) .045 d).91

2. When we calculate a confidence interval for the sampling distribution of bar and the standard deviation of the normally distributed population is unknown...

a) we use s for o and use the t-distibution b) we cannot calculate a confidence interval c)none of the above is correct

3. When calculating a confidence interval, increasing the confidence coefficient (i.e. from .90 to .95) will...

a)increase the width of the confidence interval b) decrease the width of the confidence interval c) not enclave you to calculate the new confidence interval without increasing the sample size

4. suppose the label on boxes of Gloomy-U's cereal state that each box contains 48 oz. of cereal. A consumer act group wants to perform research to make sure the Gloomy-U's company isn't under-filling boxes. which would be the correct null hypothesis?

a) Ho: u= 48 b) Ho: u greater than 48 c) Ho: u less than 48 d) Ho: u greater than or equal to 48 e) Ho: u less than or equal to 48

5. If Gloomy-U's production manager wanted to ensure the 48 oz boxes of cereal were being filled correctly (and there are no production issues), which alternative hypothesis would be appropriate?

a) Ho: u= 48 b) Ho: u greater than 48 c) Ho: u less than 48 d) Ho: u greater than or equal to 48 e) Ho: u less than or equal to 48 f) Ho: u not equal to 48

6. If we can reject the null hypothesis at the a= .05 level then...

a) we can't reject the null hypothesis at the a=.01 level b) we can't make judgement about the null hypothesis at the a=.01 level c) we can reject the null hypothesis at the a=.10 level d) both b and d are correct

7. If you use the critical-value approach instead of the p-value approach to test a null and alternative hypothesis, you will obtain...

a) the same results regarding acceptance or rejection of the null hypothesis b) different results regarding acceptance or rejection of the null hypothesis c) the same results regarding acceptance or rejection of the null hypothesis only if the test is a two-tailed test

8. 1-B, or the probability of correctly rejecting the null hypothesis at a certain value of u...

a) increases as you are further away from the hypothesized value uo b) is known as the power of the test c) both the a and b d) all of the above are correct

Solutions

Expert Solution

1. If we want to provide a 91% confidence interval for the mean of a population, __ is the confidence coefficient.

d).91

Explanation: Confidence level is also known as confidence coefficient.

2. When we calculate a confidence interval for the sampling distribution of bar and the standard deviation of the normally distributed population is unknown...

a) we use s for o and use the t-distribution

Explanation: When population standard deviation is unknown then instead of z distribution, t distribution used.

3. When calculating a confidence interval, increasing the confidence coefficient (i.e. from .90 to .95) will...

a)increase the width of the confidence interval

Explanation: As the confidence level increases, critical value will also increase. As the critical value increases width of confidence interval will also increased.

4. suppose the label on boxes of Gloomy-U's cereal state that each box contains 48 oz. of cereal. A consumer act group wants to perform research to make sure the Gloomy-U's company isn't under-filling boxes. which would be the correct null hypothesis?

a) Ho: u= 48

Explanation; Since Gloomy-U's cereal state that each box contains 48 oz so null hypothesis will be u= 48.

5. If Gloomy-U's production manager wanted to ensure the 48 oz boxes of cereal were being filled correctly (and there are no production issues), which alternative hypothesis would be appropriate?

f) Ho: u not equal to 48

6. If we can reject the null hypothesis at the a= .05 level then...

d) both b and d are correct

7. If you use the critical-value approach instead of the p-value approach to test a null and alternative hypothesis, you will obtain...

a) the same results regarding acceptance or rejection of the null hypothesis

8. 1-B, or the probability of correctly rejecting the null hypothesis at a certain value of u...

d) all of the above are correct


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