1) The alternative hypothesis, denoted by H0, represents the status quo and involves stating the belief that the population parameter is, , =, or a specific value. True/False

2) A conclusion to "not reject" the null hypothesis is the same as the decision to "accept the null hypothesis".

True/False

3) A test of hypothesis was performed to determine if the proportion of college students who preferred a particular brand of soda differs from .50. The computer printout is supplied below. Note: All data refer to the proportion of students who preferred the brand of soda. HYPOTHESIS: PROPORTION X = x

State the proper conclusion if the test was conducted at = .10.

There is sufficient evidence to indicate the proportion of all college students who prefer the brand of soda is less than .50.

There is insufficient evidence to indicate the proportion of all college students who prefer the brand of soda is less than .50.

There is sufficient evidence to indicate the proportion of all college students who prefer the brand of soda differs from .50.

There is insufficient evidence to indicate the proportion of all college students who prefer the brand of soda differs from .50.

4) The standard normal distribution table provides probabilities for the area between the z-value and the population mean.

True/False

5) Data were collected from the sale of 25 properties by a local real estate agent. The following printout concentrated on the land value variable from the sampled properties.

HYPOTHESIS: MEAN X = x table ( (X = land_value)( )(SAMPLE MEAN OF X = 51,215) (SAMPLE VARIANCE OF X = 273,643,254)(SAMPLE SIZE OF X = 25)(x = 46,772) ( )(MEAN X - x = 4443)(t = 1.34293)(D.F. = 24)(P-VALUE = 0.1918585) (P-VALUE/2 = 0.0959288)(SD. ERROR = 3308.43) )

Find the p-value for testing whether the mean land value differs from $46,772.

p = 0.808142

p = 0.308142

p = 0.1918585

p = 0.0959288

6) A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. The 95% confidence interval for p-hat is 0.59 0.07. Interpret this interval.

We are 95% confident that between 52% and 66% of the sampled students receive some sort of financial aid.

We are 95% confident that 59% of the students are on some sort of financial aid.

We are 95% confident that the proportion of all students receiving financial aid is between 0.52 and 0.66.

95% of the students get between 52% and 66% of their tuition paid for by financial aid.

7) The owner of a nightclub on Black Rock Turnpike has recently surveyed a random sample of n = 250 customers of the club. She would now like to determine whether or not the mean age of her customers is greater than 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. Suppose she found that the sample mean was 30.45 years and the sample standard deviation was 5 years. If she wants to have a level of significance at 0.01, what decision should she make? Hint: Use t-hypothesis test of a Mean Excel spreadsheet.

Reject H0

Do not reject H0

Reject Ha

We cannot tell what her decision should be from the information given

8) An industrial supplier has shipped a truckload of teflon lubricant cartridges to an aerospace customer. The customer has been assured that the mean weight of these cartridges is in excess of the 14 ounces printed on each cartridge. To check this claim, a sample of n = 22 cartridges are randomly selected from the shipment and carefully weighed. Summary statistics for the sample are: overbar(x) = 14.12 ounces, s = .22 ounce. To determine whether the supplier's claim is true, consider the test, (H) with subscript (0): = 14 vs. (H) with subscript (a): > 14, where is the true mean weight of the cartridges. Calculate the p-value.

0.0092

0.0183

-2.0796

-1.7207

9) A large tire manufacturing company has claimed that its top line tire will average more than 80,000 miles. If a consumer group wished to test this claim, the research hypothesis would be:

Ha : > 80,000 miles.

True/False

10) The alternative hypothesis, denoted by H0, represents the status quo and involves stating the belief that the population parameter is, , =, or a specific value.

True/False