Reference no: EM131008560
1. Suppose that you are testing the hypotheses H0: m = 16 vs. HA: m 6 16. A sample of size 25 results in a sample mean of 16.5 and a standard deviation of 2.0.
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 m.
d) Based on the confidence interval, at a = 0.05 can you reject H0? Explain.
2. Suppose that you are testing the hypotheses H0: m = 80 vs. HA: m Z 80. A sample of size 61 results in a sample mean of 75 and a standard deviation of 1.5.
a) What is the standard error of the mean?
b) What is the critical value of t* for a 95% confidence in- terval?
c) Construct a 95% confidence interval for m.
d) Based on the confidence interval, at a = 0.05 can you reject H0? Explain.
|
Proportion of houses
: A realty company recently announced that the proportion of houses taking more than three months to sell is now greater than 50%. A financial firm's accounting reports that after improvements in their system, they now have an error rate below 2%.
|
|
Reject the null hypothesis
: For each of the following situations, state whether a Type I, a Type II, or neither error has been made. a) A test of H0: m = 25 vs. HA: m 7 25 rejects the null hypothesis. Later it is discovered that m = 24.9. b) A test of H0: p = 0.8 vs. HA: p 6 0..
|
|
Solve the constant-coefficient equation
: Solve the constant-coefficient equation in u to find two linearly independent solution. Use part (b) to find solution of the DE when a = 1 and b = -1/2. FInd the solution when y(1) = 0 and y'(1) = 1.
|
|
What is the predictor variable
: For each additional hour of television viewed per day, the number of fruit and vegetable servings per day was found to decrease on average by 0.14 serving. For this study, what is the dependent variable? What is the predictor variable?
|
|
What is the standard error of the mean
: 1. Suppose that you are testing the hypotheses H0: m = 16 vs. HA: m 6 16. A sample of size 25 results in a sample mean of 16.5 and a standard deviation of 2.0. a) What is the standard error of the mean?
|
|
What is the sample and what is the population
: Briefly describe the data that is used and how it is collected. What is the sample and what is the population? Example: Survey data collected by QU pollsters. The sample is those polled, and the population may be U.S. citizens eligible to vote
|
|
Is the slope of the least-squares line positive or negative
: For each of the following pairs of variables, indicate whether you would expect a positive correlation, a negative correlation, or a correlation close to 0. Explain your choice. Maximum daily temperature and cooling costs.
|
|
The rockwell corporation uses a periodic inventory system
: In the 2011-2009 comparative financial statements, what will be the amounts of cost of goods sold and inventory reported for 2011?
|
|
Standard error and standard deviation of sample proportion
: a) Construct a 90% confidence interval for p. b) Based on the confidence interval, at a = .05 can you reject H0? Explain. c) What is the difference between the standard error and standard deviation of the sample proportion? d) Which is used in comput..
|