7. A city claims that less than 50% of drivers favor using red light cameras. In a survey of 500 drivers, 47% say
they are in favor of red light cameras. Test the claim at the .01 level of significance (α=.01) using the p-value
method.

8. It is claimed that the mean repair cost for two models of washing machines are the same. The mean repair
cost for a sample of 24 Model A machines is $212. The mean repair cost for a sample of 26 Model B machines is
$221. Both populations are normally distributed. The population standard deviation of the Model A machines is
$18 and the population standard deviation of the Model B machines is $22. Test the claim at the .05 significance
level (α=.05). Use the traditional method.

7. A city claims that less than 50% of drivers favor using red light cameras. In a survey of 500 drivers, 47% say
they are in favor of red light cameras. Test the claim at the .01 level of significance (α=.01) using the p-value
method.

8. It is claimed that the mean repair cost for two models of washing machines are the same. The mean repair
cost for a sample of 24 Model A machines is $212. The mean repair cost for a sample of 26 Model B machines is
$221. Both populations are normally distributed. The population standard deviation of the Model A machines is
$18 and the population standard deviation of the Model B machines is $22. Test the claim at the .05 significance
level (α=.05). Use the traditional method.

1. Random samples of people ages 15-24 and 25-34 were asked about their preferred method of communication with friends. The respondents were asked to select one of the methods from the following list: cell phone, instant message, e-mail, other.

Age                  Cell Phone                   Instant Message                     E-Mail             Other

                        Obs., Exp                     Obs., Exp                                 Obs., Exp         Obs., Exp

15-24               48                                40                                            5                      7

25-34               41                                30                                            15                    14

Test whether the two populations share the same proportions of preferences for each type of communication method. Use α = 0.05

When all of the entries are valid, display an account number that shows first 3 digits of the telephone number and first two letters of the last name.

using name John Smith

phone number 1234567893

Using net beans take the first two letters from smith and first 3 numbers from the phone number and combine them to one line like this sm123.

1. The correct mean for Condition One is _______ while the correct mean for Condition Two is ______:

A. 3.50 and 8.00

B. 3.42 and 7.17

C. 4.00 and 8.00

D. 1.51 and 2.76

E. 7.17 and 3.42

2. The correct standard deviation for Condition One is ________ while the correct standard deviation for Condition Two is _______

A. 3.50 and 8.00

B. 3.42 and 7.17

C. 4.00 and 8.00

D. 1.51 and 2.76

E. 7.17 and 3.42

3. Which of the following is true about the mode?

A. Condition One has one mode while Condition Two has two modes

B. Condition Two has one mode while Condition One has two modes

C. The mode(s) for Conditions One and Two are different

D. The mode(s) for Conditions One and Two are the same

3. Imagine you ran a t-Test on this data to see if Condition One differs significantly from Condition Two. You got the following Independent Samples Test table

Levene's Test for Equality of variances t-test for Equality of Means

F-------- -----Sig---------t -----------df ------Sig. (2-tailed)

2.985. -----.098--- --4.135. -----22. -----------.000

--------------------------4.135. ----17.018---------.001

4. What is the best interpretation for this t-Test?

A. It was significant, t(17.02) = 4.14, p < .05

B. It was significant, t(22) = 4.14, p < .001

C. It was significant, t(22) = 0.00, p < .001

D. It was not significant, t(17.02) = 4.14, p > .05

E. It was not significant, t(22) = 4.14, p > .05

5. Use the Independent Samples Test table as well as your findings for the mean and SDs (from question #1) to determine which of the following is t-Test write-ups correct:

A. We ran an independent samples t-Test with score as the dependent variable and condition (1 versus 2) as the independent variable, which was significant, t(17.02) = 4.14, p < .05. Scores were higher in condition 1 (M = 3.42, SD = 1.51) than in condition 2 (M = 7.17, SD = 2.76).

B. We ran an independent samples t-Test with score as the dependent variable and condition (1 versus 2) as the independent variable, which was significant, t(22) = 4.14, p < .001. Scores were higher in condition 1 (M = 3.42, SD = 1.51) than in condition 2 (M = 7.17, SD = 2.76).

C. We ran an independent samples t-Test with score as the dependent variable and condition (1 versus 2) as the independent variable, which was significant, t(22) = 4.14, p < .001. Scores were lower in condition 1 (M = 3.42, SD = 1.51) than in condition 2 (M = 7.17, SD = 2.76).

D. We ran an independent samples t-Test with score as the dependent variable and condition (1 versus 2) as the independent variable, which was not significant, t(17.02) = 4.14, p > .05. Scores did not differ significantly between condition 1 (M = 3.42, SD = 1.51) and condition 2 (M = 7.17, SD = 2.76).

E. We ran an independent samples t-Test with score as the dependent variable and condition (1 versus 2) as the independent variable, which was not significant, t(22) = 4.14, p > .05. Scores did not differ significantly between condition 1 (M = 3.42, SD = 1.51) and condition 2 (M = 7.17, SD = 2.76).

The Boston public school district has had difficulty maintaining on-time bus service for its students. Suppose the district develops a new bus schedule to help combat chronic lateness on a particularly woeful route. After the schedule adjustment, the first 36 runs were an average of 8 minutes late. As a result, the Boston public school district claimed that the schedule adjustment was an improvement—students were late less than 15 minutes. Assume a population standard deviation for bus arrival time of 12 minutes. At a 1% significance level, the decision is to ________.

Partial Permutations

Find the number of 7-character (capital letter or digit) license plates possible if no character can repeat and: a) there are no further restrictions, b) the first 3 characters are letters and the last 4 are numbers, c) letters and numbers alternate, for example A3B9D7Q or 0Z3Q4A9

Combinations

A standard 52-card deck consists of 4 suits and 13 ranks. Find the number of 5-card hands where: a) any hand is allowed (namely the number of different hands) b) all five cards are of same suit c) all four suits are present d) all cards are of distinct ranks

Distribution Types

1) Which of the following sample spaces are uniform?

a) {land,sea} for a randomly point on a globe b) {odd, even} for a random integer from {1,2,. . . ,100} c) {leap year, non-leap year} for a random year before 2019 d) {two he{distance to origin} for a random point in {−3, −1, 1, 3} × {−4, −2, 2, 4} e) lads, two tails, one head and one tail} when flipping two fair coin

Inequalities

.in any uniform probability space: a) ?⊇? ⟶ ?(?)≥?(?) b) ?(?)≥?(?) ⟶ ?⊇? c) |?|≥|?| ⟶ ?(?)≥?(?) d) ?(?)≥?(?) ⟶ |?|≥|?|

Conditional Probability

Three fair coins are sequentially tossed. Find the probability that all are heads if: a) the first is tails b) the first is heads c) at least one is heads.

Topic 10a: Organizational Culture

Bauer and Erdogan (Lardbucket Books, 2012a) present a typology of organizational culture dimensions - values that might be used to describe an organization’s culture. Their typology is an extension of an existing typology – the organizational culture profile (OCP), which contains seven organizational culture dimensions: (1) innovative culture; (2) aggressive culture; (3) outcome-oriented culture; (4) stable culture; (5) people-oriented culture; (6) team-oriented culture; and (7) detail-oriented culture. The authors add three more dimensions: (8) service culture; (9) safety culture; and (10) strong culture. Which one (or more) of these descriptors fit your organization? Explain your selection(s) and describe how these dimensions impact, either positively or negatively, project performance.

In constructing 95% confidence interval estimate for the difference between the means of two populations, where the unknown population variances are assumed not to be equal, summary statistics computed from two independent samples are: ?1=45,?̅1=756,?1=18,?2=40,?̅2=762,?2=15

(using 2-sample T menu)

a. Calculate the 95% confidence interval for the true difference of two means.

b. Base on the interval in the previous question, can one conclude there is a difference in means of two populations?

Justify your answer.

Voltage and Insulating Fluid. Researchers examined the time in minutes before an insulating fluid lost its insulating property. The following data are the breakdown times for eight samples of the fluid, which had been randomly allocated to receive one of two voltages of electricity:

Times (min) at 26 kV: 5.79 1579.52 2323.70
Times (min) at 28 kV: 68.8 108.29 110.29 426.07 1067.60

(Please explain/list every step in details)

1. Form two new variables by taking the logarithms of the breakdown times: Y1 = log breakdown time at 26 kV and Y2 = log breakdown time at 28 kV.

2. By hand, compute a 95% confidence interval for the difference in mean log breakdown times. Take the antilogarithms of the endpoints and express the result in a sentence.