Homework Answers
A 95% CI on the mean is: (11, 13)
As the 95% Confidence interval does not contain the value of 10, it
means that the true population mean cannot be 10 with a confidence
of 95%
Hence, the null hypothesis can be rejected at the 5% level of
significance.
Correct option: B)
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QUESTION 2 Suppose that you are testing the following hypotheses: H:u= 10 vs H : 4#10...
1. Suppose that you are testing the following hypotheses: ?0: ? = 10 and ?1: ?...
1. Suppose that you are testing the following hypotheses: ?0: ? = 10 and ?1: ? > 10. If the null hypothesis is rejected at the 1% level of significance, what statement can you make about the confidence interval on the mean? a.) The lower bound of a 95% one-sided confidence interval on the mean exceeds 10 b.) 9 ≤ ? ≤ 13 c.) No statement can be made d.) The lower bound of a 95% one-sided confidence interval on...
Suppose that you are testing the following hypotheses: Ho: = 10 and 11: > 10. If...
Suppose that you are testing the following hypotheses: Ho: = 10 and 11: > 10. If the null hypothesis is rejected at the 1% level of significance, what statement can you make about the confidence interval on the mean? a) The lower bound of a 95% one-sided confidence interval on the mean exceeds 10. b) 9 sus 13 c) No statement can be made. d) The lower bound of a 95% one-sided confidence interval on the mean exceeds zero. If...
Bonus (5 points) Suppose that you are testing the following hypotheses: Ho: 4 = 10 and...
Bonus (5 points) Suppose that you are testing the following hypotheses: Ho: 4 = 10 and H :> 10. If the null hypothesis is rejected at the 1% level of significance, what statement can you make about the confidence interval on the mean? a) The lower bound of a 95% one-sided confidence interval on the mean exceeds 10. b) 9 <u< 13 c) No statement can be made. d) The lower bound of a 95% one-sided confidence interval on the...
Suppose that you are testing the hypotheses Ho: p= 0.20 vs. HA, p 0.20. A sample...
Suppose that you are testing the hypotheses Ho: p= 0.20 vs. HA, p 0.20. A sample of size 250 results in a sample proportion of 0.27 a) Construct a 95% confidence interval for p. b) Based on the confidence interval, can you reject Ho at a 0.05? Explain c) What is the difference between the standard error and standard deviation of the sample proportion? d) Which is used in computing the confidence interval? a) The 95% confidence interval for p...
Chapter 4, Section 5, Exercise 160 Hypotheses for a statistical test are given, followed by several...
Chapter 4, Section 5, Exercise 160
Hypotheses for a statistical test are given, followed by several
possible confidence intervals for different samples. In each case,
use the confidence interval to state a conclusion of the test for
that sample and give the significance level used. In addition, in
each case for which the results are significant, state which group
(1 or 2) has the larger mean.
Hypotheses: H0:μ1=μ2 vs Ha:μ1≠μ2
(a) 95% confidence interval for μ1-μ2: 0.15 to 0.55
Conclusion:...
Question 22 3 pts Suppose you are interested in testing a null hypothesis and the p-value...
Question 22 3 pts Suppose you are interested in testing a null hypothesis and the p-value associated with the test statistic is 0.004. As a result, you should o reject the null hypothesis at the 5-percent level of significance, but not at the 1- percent level of significance. do not reject the null hypothesis at the 5-percent level of significance, but do reject the null at the 1-percent level of significance. o do not reject the null hypothesis at the...
Suppose that you are testing the hypotheses Upper H 0: p=0.38 vs. Upper H Subscript Upper...
Suppose that you are testing the hypotheses Upper H 0: p=0.38 vs. Upper H Subscript Upper A: p>0.38. A sample of size 250 results in a sample proportion of 0.45. a) Construct a 99% confidence interval for p. (__,__) b) Determine the conclusion for the hypothesis test based on the confidence interval. Since the confidence interval ▼ does does not contain the null hypothesis value, ▼ reject fail to reject the null hypothesis at alphaαequals=0.005. c) What is the difference...
need help: Suppose that you are testing the hypotheses H0 με 16 vs. HA: μ< 16....
need help:
Suppose that you are testing the hypotheses H0 με 16 vs. HA: μ< 16. A sample of size 16 results in a sample mean of 15.5 and a sample standard deviation of 20 a) What is the standard error of the mean? b) What is the critical value of t* for a 90% confidence interval? c) Construct a 90% confidence interval for μ. d) Based on the confidence interval, at α#0.05 can you reject Ho? Explain. a) The...
Suppose that you are testing the hypotheses H0: μ=70 vs. HA: μ≠70. A sample of size...
Suppose that you are testing the hypotheses H0: μ=70 vs. HA: μ≠70. A sample of size 41 results in a sample mean of 65 and a sample standard deviation of 1.7. a) What is the standard error of the mean? b) What is the critical value of t* for a 99% confidence interval? c) Construct a 99% confidence interval for μ. d) Based on the confidence interval, at α=0.010 can you reject H0? Explain.
14. Suppose that you are testing the hypotheses Ho:p 0.40 vs. HA:p0.40. A sample of size...
14. Suppose that you are testing the hypotheses Ho:p 0.40 vs. HA:p0.40. A sample of size 200 results in a sample proportion of 0.55. a) Construct a 90% confidence interval for p b) Based on the confidence interval, at a 05 can you re- ject Ho? Explain.
Suppose that you are testing the following hypotheses: Ho: = 10 and 11: > 10. If the null hypothesis is rejected at the 1% level of significance, what statement can you make about the confidence interval on the mean? a) The lower bound of a 95% one-sided confidence interval on the mean exceeds 10. b) 9 sus 13 c) No statement can be made. d) The lower bound of a 95% one-sided confidence interval on the mean exceeds zero. If...
Bonus (5 points) Suppose that you are testing the following hypotheses: Ho: 4 = 10 and H :> 10. If the null hypothesis is rejected at the 1% level of significance, what statement can you make about the confidence interval on the mean? a) The lower bound of a 95% one-sided confidence interval on the mean exceeds 10. b) 9 <u< 13 c) No statement can be made. d) The lower bound of a 95% one-sided confidence interval on the...
Suppose that you are testing the hypotheses Ho: p= 0.20 vs. HA, p 0.20. A sample of size 250 results in a sample proportion of 0.27 a) Construct a 95% confidence interval for p. b) Based on the confidence interval, can you reject Ho at a 0.05? Explain c) What is the difference between the standard error and standard deviation of the sample proportion? d) Which is used in computing the confidence interval? a) The 95% confidence interval for p...
Chapter 4, Section 5, Exercise 160
Hypotheses for a statistical test are given, followed by several
possible confidence intervals for different samples. In each case,
use the confidence interval to state a conclusion of the test for
that sample and give the significance level used. In addition, in
each case for which the results are significant, state which group
(1 or 2) has the larger mean.
Hypotheses: H0:μ1=μ2 vs Ha:μ1≠μ2
(a) 95% confidence interval for μ1-μ2: 0.15 to 0.55
Conclusion:...
Question 22 3 pts Suppose you are interested in testing a null hypothesis and the p-value associated with the test statistic is 0.004. As a result, you should o reject the null hypothesis at the 5-percent level of significance, but not at the 1- percent level of significance. do not reject the null hypothesis at the 5-percent level of significance, but do reject the null at the 1-percent level of significance. o do not reject the null hypothesis at the...
need help:
Suppose that you are testing the hypotheses H0 με 16 vs. HA: μ< 16. A sample of size 16 results in a sample mean of 15.5 and a sample standard deviation of 20 a) What is the standard error of the mean? b) What is the critical value of t* for a 90% confidence interval? c) Construct a 90% confidence interval for μ. d) Based on the confidence interval, at α#0.05 can you reject Ho? Explain. a) The...
14. Suppose that you are testing the hypotheses Ho:p 0.40 vs. HA:p0.40. A sample of size 200 results in a sample proportion of 0.55. a) Construct a 90% confidence interval for p b) Based on the confidence interval, at a 05 can you re- ject Ho? Explain.
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