Exam 7: Hypothesis Testing

Assume that a 99% confidence interval for the mean is (11.5, 13.0). Then a hypothesis test of $\mathrm { H } _ { 0 } : \mu =$ $12.0 \text { at } a = 0.01$ would result in

Assume that in a hypothesis test with null hypothesis $\mathrm { H } _ { 0 } : \mu = 14.0 \text { at } \alpha = 0.10$ , that a value of 11.0 for the sample mean results in the null hypothesis being accepted. That corresponds to a confidence interval Result of

The probability of a type I error is represented by which of the following symbols?

For the conjecture, "The average rent of an apartment is more than $900 per month," the alternative hypothesis is:

The probability of committing a type II error is symbolized by b.

The chi-square critical value for $n = 16 \text { and } a = 0.01$ when the test is left-tailed is 5.812.

Using the z-table (Table E), find the critical value (or values) for an $a = .016$ left-tailed test.

Which type of null hypothesis is used in the figure below?

Assume that in a hypothesis test with null hypothesis $\mathrm { H } _ { 0 } : \mu = 14.0 \text { at } \alpha = 0.01$ , that a value of 11.0 for the sample mean results in the null hypothesis being rejected. That corresponds to a confidence interval result Of

A random sample of 25 rats was fed a diet for a period of 4 weeks. The weight gain (in grams) was recorded for each rat. The average weight gain was 16.4 with a corresponding standard deviation of 3.0. The P-value for testing the claim that this diet would increase weight by at least 15 grams would be

A recent survey indicated that the average amount spent for breakfast by business managers was $7.58, with a standard deviation of $0.42. It was felt that breakfasts on the West Coast were higher than $7.58. A sample of 81 business managers on the West Coast had an average breakfast cost of $7.65. -At $a = 0.05$ , what is the test value?

A random sample of 450 shoppers at Yorkdale Mall found that 150 favoured longer shopping hours. Is this sufficient evidence to conclude that less than 30% of the shoppers at Yorkdale Mall favour longer hours? Let $\alpha = 0.05$

Assume that a 99% confidence interval for the mean is (17.0, 19.0). Then a hypothesis test of $\mathrm { H } _ { 0 } : \mu =$ $16.0 \text { at } a = 0.01$ would result in

Using the z-table (Table E), find the critical value (or values) for an $a = .06$ right-tailed test.

The numerical value obtained from a statistical test is called the __________. ________________________________________

Assume that you are using alpha = .05 to test the claim that the mean is less than 2. If your sample will consist of 50 randomly selected values, find the probability of a type II error if the population mean is 1.5 with a standard deviation of 1.

Science fiction novels average 280 pages in length. The average length of ten randomly chosen novels written by I. M. Wordy was 310 pages in length with a standard deviation of 55. Are Wordy's novels significantly longer than the average? $\text { Assume } = .05$

The null hypothesis states that there is no difference between a parameter and a specific value, or that there is no difference between two parameters.

Is the statement $\mathrm { H } _ { 0 } : 18 = 10$ a valid null hypothesis?

Nationwide, the average waiting time until an electric utility customer service representative answers a call is 200 seconds per call. The Gigantic Kilowatt Energy Company took a sample of 40 calls and found That, on the average, they answered in 140 seconds per call with a standard deviation of $30. Can the Company claim that they are faster than the average utility?