Preparation for the Final

The following sample of questions are merely a selection of the possible types of questions that you may be asked.

You should review the entire expectations of the class.

1.  In an advertisement, a pizza shop claims that its mean delivery time is less than 30 minutes. A random selection of 36 delivery times has a sample mean of 28.5 minutes and a standard deviation f 3.5 minutes. Formulate the hypothesis test to evaluate this claim.

  1. Ho : m = 30

H1 : m ≠ 30

  1. Ho : m 30

H1 : m 30

  1. Ho : m < 30

H1 : m 30

  1. Ho : m 30

H1 : m 30

2.  Zogby International claims that 45% of people in the United States support making cigarettes illegal within the next 5 to 10 years. You decide to test this claim and ask a random sample people in the United States whether they support making cigarettes illegal within the next 5 to 10 years. Of the 200 people, 49% support this law. Formulate the hypothesis test to evaluate this claim.

  1. Ho : p ≠ .45

H1 : p = .45

  1. Ho : p = .45

H1 : p ≠ .45

  1. Ho : p < .45

H1 : p > .45

  1. Ho : p .45

H1 : p > .45

Fifty-nine percent of households in the United States subscribe to cable TV. You randomly select six households and ask each if they subscribe to cable TV.

x / 0 / 1 / 2 / 3 / 4 / 5 / 6
P(x) / 0.005 / 0.041 / 0.148 / 0.282 / 0.306 / 0.176 / 0.042

3.  If six households are asked whether they subscribe to cable TV, what is the probability that more than four will be subscribers?

a.  31%

b.  22%

c.  52%

d.  78%

4.  If six households are asked whether they subscribe to cable TV, what is the probability that less than three will be subscribers?

  1. 19%
  1. 48%
  1. 81%
  1. 52%

The following are the pounds of pressure that a sample of pipes from Quezada Pro satisfied

155 / 155 / 155 / 155 / 155 / 155 / 155 / 155 / 155 / 155
159 / 159 / 159 / 159 / 159 / 159 / 159 / 159 / 159 / 159
144 / 144 / 144 / 144 / 144 / 144 / 144 / 144 / 144 / 144
129 / 129 / 129 / 129 / 129 / 129 / 129 / 129 / 129 / 129
105 / 105 / 105 / 105 / 105 / 105 / 105 / 105 / 105 / 105

Using the Minitab output given,

Total Sum of

Variable Count Mean SE Mean StDev Variance CoefVar Sum Squares

Msg 50 125.14 2.06 14.54 211.39 11.62 6257.00 793359.00

N for

Variable Minimum Q1 Median Q3 Maximum Range IQR Mode Mode

Msg 78.00 116.75 123.50 133.25 159.00 81.00 16.50 126 5

Variable N Mean StDev SE Mean 95% CI

Msg 50 125.14 14.54 2.06 (121.11, 129.17)

1 7 8

1 8

1 8

1 9

1 9

1 10

6 10 58999

11 11 22234

19 11 67888999

(8) 12 11222344

23 12 6666699

16 13 02334

11 13 99

9 14 024

6 14 5578

2 15

2 15 59

5.  Determine the Range:______

6.  Determine the Mean:______

7.  Determine the range of the data that would contain 68% of the results:______

8.  Henry Inc. is considering contracting with Quezada Pro for the next five years, but they require that 95% of the pipes are 126 lbs. +/- 3 lbs. Given the data above, should Quezada Pro sign the contract? Why or why not.

9.  A research center claims that no more than 25% of Internet users in the United States have a wireless network in their home. In a random sample of 400 adults, 146 say they have a wireless network in their home.

At a = 0.01, is there enough evidence to support the researcher’s claim?

Test and CI for One Proportion

Test of p = .2 vs. p > .2

Sample X N Sample p z-value p-value

1 146 400 .365000 5.31 0.000

The following table shows the number of U.S. adults(in millions) ages 25 and over by employment status and educational attainment.

Educational Attainment
Status / Not a high school graduate / High school graduate / Some college, no degree / Associate’s, bachelor’s, or advanced degree / Total
Employed / 11.5 / 35.9 / 21.3 / 51.4 / 120.1
Unemployed / 1.1 / 2.1 / 1.0 / 1.4 / 5.6
Not in the labor force / 15.4 / 22.7 / 9.4 / 15.4 / 62.9
Total / 28 / 60.7 / 31.7 / 68.2 / 188.6

10.  Referring to the above table, if an adult is chosen at random, what is the probability that they are either a High School Graduate or have a college degree?

11.  Referring to the above table, given that an adult is unemployed, what is the probability that they will also have some college but no degree?

12.  You randomly select 16 coffee shops and measure the temperature of the coffee sold at each. The sample mean temperature is 162° F with a sample standard deviation of 10° F. Find the 95% confidence interval for the mean temperature.

For the regression analysis it is best to concentrate of the figure on page 509 (Simple Regression) and 562 (Multiple Regression) and that you can locate the various pieces of information in the Minitab Output.

Be familiar with the F Test for the Model on page 526 and 573