1) In Pennsylvania the average IQ score is 101.5The variable is normally distributed and the population standard deviation is known to be 15.A school superintendent claims that students in her school district have an IQ that is significantly greater than the state average.A random sample of 30 students from her district are selected and the sample mean IQ score was 106.4Find the p-value for the test and round to 3 decimal places.

.0736

.0465

.0368

.05

.963

2) An orthodontist claims that their average cost for teeth straightening with metal braces is less than the state average of $5400.To test this claim the orthodontist randomly selects 18 patients and found that mean cost was$5250 with a standard deviation of $629Compute the p-value and round to 3 significant decimal places.

.0225

.109

.05

.156

.0550

3) Nationally, 60.2% of federal prisoners are serving time for drug offenses.A warden feels that in his prison the percentage is greater than the national percentage.He surveyed 500 randomly selected inmates and found that 310 of the inmates are drug offenders. Compute the p-value for the test and round to 3 significant decimal places.

.00168

.168

.05

.0249

.205

4) In a random sample of 200 men, 130 said that they use seat belts.In a random sample of 300 women, 175 said they wear seat belts.Test the claim that the percentage of men that wear seat belts is significantly greater than the percentage of women that wear seat belts. Compute the p-value for the test and round to 3 significant decimal places.

.0695

.0196

.0773

.183

.0444

5) A researcher claims that the average cost for a new home in the South is greater than the average cost for a new home in the Midwest.40 houses were randomly selected from each region with the following results

South Midwest

Sample Size 40 40

Sample Mean $250,500 $248,200

Population Standard Deviation $10,500 $12,000

Compute the p-value for test correct to 3 significant decimal places

.214

.0953

.100

.181

.0825

6)

Calculate the correlation coefficient for the following table that shows speed in mph and braking distance in feet

speed braking distance

20 20

30 45

40 81

50 133

60 205

80 411

.966

.973

.942