13. Generational Differences in Workplace Attitudes. In 2015, Addison Group (a pro-vider of professional staffing services) and Kelton (a global insights firm) surveyed the work preferences and attitudes of 1,006 working adults spread over three generations: baby boomers, Generation X, and millennials (Society for Human Resource Manage-ment website, https://www.shrm.org/resourcesandtools/hr-topics/talent-acquisition/pages /millennials-raises-promotions-generations.aspx). In one question, individuals were asked if they would leave their current job to make more money at another job. The file Millenials contains the sample data, which are also summarized in the following table.

Leave Job for More Money?
Baby Boomer

Yes 129
No 207
Generation X

yes 152
no 183
Millennial

yes 164
no 171

Conduct a test of independence to determine whether interest in leaving a current job for more money is independent of employee generation. What is the p-value? Using a .05 level of significance, what is your conclusion

Let X1,X2,X3 be i.i.d. N(0,1) random variables. Suppose Y1 = X1 + X2 + X3, Y2 = X1 −X2, Y3 =X1 −X3. Find the joint pdf of Y = (Y1,Y2,Y3)′ using : Multivariate normal distribution properties.

a conference room holds meetings. the owner knows that the duration of these meetings is uniformly distributed from 30-90 mins.

a) what is the liklihood that a meeting will last between 60 and 80 mintues?

b)what is the standard deviation of the duration of the meetings?

c) a meeting has been scheduled in a room at 3pm. when should the next meeting be scheduled so that there is no more than a 10% chance that the participants for the second meering have to wait for the previosu meeting to get over?

You probably regard your university education as an investment. You spend your valuable time, effort, and tuition fees and in return you obtain a degree. The provincial and federal governements also regard their funding of universities to be an investment. But is the investment equally effective in producing graduates across all provinces? The data bellow indicates the number of graduates at the bachelors, masters and doctorate levels and funding from four sources: Investment of university endowment funds, provincial funding, federal funding, tuition fees. Can we estimate the number of graduates from the level of these sources of funding? Does population size impact the equation? What other factors could influence results?

Terry and Associates is a specialized medical testing center Denver, Colorado. One of the firm's major sources of revenue is a lot used to test for elevated of lead in the blood. Workers in auto body shops, those in the lawn care industry, and commercial house painters are exposed to large amounts of lead and thus must be randomly tested. It is expensive to conduct the test, so the kits are delivered on demand to a variety of locations throughout the Denver area.

     Kathleen Terry, the owner, is concerned about setting appropriate costs for each delivery. To investigate, Ms. Terry gathered information on a random sample 0f 46 recent deliveries. Factors thought to be related to the cost of delivering a kit were:

Prep   The time in minutes between when the customized order is phoned into the company and when it is ready for delivery.

Delivery   The actual travel time in minutes from
Terry"s plant to the customer.

Mileage    The distance in miles from Terry's plant to the customer.

Cost          Prep     Delivery     Mileage

32.60          10          51             20

23.37          11          33             12

31.49           6           47             19

19.31           9           18              8

28.35           8           88             17

28.17           5           35             16

20.42           7           23              9

21.53           9           21             10

27.55         7 37 16

23.37 9 25 12

17.10    15    15 6

27.06    13    34    15

15.99    8    13 4

17.96    12 12    4

25.22    6      41               14

24.29            3         28               13

22.76          4         26               10

28.17            9         54               16

19.68            7         18                 8

25.15            6         50               13

20.36            9         19                7

21.16            3         19                8

25.95           10        45               14

18.76           12        12                 5

18.76            8       16                 5

24.49            7         35                13

19.56            2         12                 8

22.63            8         30                11

21.16            5         13                 8

21.16           11        20                 8

19.68             5        19                 8

18.76             5        14                 7

17.98             5        11                 4

23.37            10       25                12

25.22              6       32                14

27.06              8       44                16

21.06              9       28                  9

22.63              8       31                 11

19.68              7       19                   8

22.76              8       28                  10

21.96             13      18                   9

25.95             10      32                  14

26.14               8      44                  15

24.29               8      34                  13

24.35               3      33                  12

1. Write the regression equation.

2. Interpret the regression constant and partial regression coefficients.

3. Test the overall significant of the regression model

4. Is there any indication of multicollinearity.

The Seneca Children's Fund is a local charity that runs summer camps for disadvantaged children. The fund's board of directors has been working very hard in recent years to decr4ease the amount of overhead expenses, a major factor in how charities are rated by independent agencies. The following data show the percentages of the money the fund has raised that was spent on administrative and fund-raising expenses for 2006-2012.

Year      Expense (%)

2006            13.7

2007            13.9

2008            14.8

2009            14.6

2010            14.9

2011            15.1

2012            15.6

a. Construct a time series plot. What kind of relationship exists in the data?

b. Develop a linear trend equation for these data.

c. Forecast the percentage of administrative expenses for 2013.

d. Using a smoothing constant of .2 forecast a value for 2013.

Hypothesis Testing. The researcher believes that if pregnant women take vitamins, the birth weight of their babies will be greater than 7.2 pounds. The researcher feeds vitamins to 49 pregnant women and measures the birth weights of their babies. The mean birth weight of the 49 babies born to women who take vitamins is 7.5 pounds, with a standard deviation of 0.9.

1. At alpha = .05, test the claim that the mean birth weight of babies whose mothers took vitamins is greater than 7.2 pounds.
2. Explain what a Type I Error would be for this experiment.
3. Explain what a Type II Error would be.

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 446 gram setting. It is believed that the machine is overfilling the bags. A 33 bag sample had a mean of 452 grams. Assume the population variance is known to be 676. Is there sufficient evidence at the 0.1 level that the bags are overfilled?

Step 1 of 6: State the null and alternative hypotheses.

Step 2 of 6:

Find the value of the test statistic. Round your answer to two decimal places.

Step 3 of 6:

Specify if the test is one-tailed or two-tailed.

Step 4 of 6:

Find the P-value of the test statistic. Round your answer to four decimal places.

Step 5 of 6:

Identify the level of significance for the hypothesis test.

Step 6 of 6:

Make the decision to reject or fail to reject the null hypothesis.

A telephone company claims that the service calls which they receive are equally distributed among the five working days of the week. A survey of 8080 randomly selected service calls was conducted. Is there enough evidence to refute the telephone company's claim that the number of service calls does not change from day-to-day?

Copy Data

Step 1 of 10:

State the null and alternative hypothesis.

H0H0: Service calls are not equally distributed over the five working days.

HaHa: Service calls are equally distributed over the five working days.

or

H0H0: Service calls are equally distributed over the five working days.

HaHa: Service calls are not equally distributed over the five working days.

Step 2 of 10:

What does the null hypothesis indicate about the proportions of service calls received each day?

The proportions of service calls received each day are all thought to be equal.

or
The proportions of service calls received each day are different for each category (and equal to the previously accepted values).

Step 3 of 10:

State the null and alternative hypothesis in terms of the expected proportions for each category.

Ho:Pi=

Step 4 of 10:

Find the expected value for the number of service calls received on Monday. Round your answer to two decimal places.

Step 5 of 10:

Find the expected value for the number of service calls received on Thursday. Round your answer to two decimal places.

Step 6 of 10:

Find the value of the test statistic. Round your answer to three decimal places.

Step 7 of 10:

Find the degrees of freedom associated with the test statistic for this problem.

Step 8 of 10:

Find the critical value of the test at the 0.0250.025 level of significance. Round your answer to three decimal places.

Step 9 of 10:

Make the decision to reject or fail to reject the null hypothesis at the 0.0250.025 level of significance.

Fail to Reject Null Hypothesis

or

Reject Null Hypothesis

Step 10 of 10:

State the conclusion of the hypothesis test at the 0.0250.025 level of significance.

There is not enough evidence to refute the claim that the service calls are distributed evenly among the days.

or
There is enough evidence to refute the claim that the service calls are distributed evenly among the days.

The reaction time before lunch was compared with the reaction time after lunch for a group of 28 office workers. Twenty two workers found their reaction time before lunch was shorter, and two could detect no difference, while the rest had a longer reaction time before lunch. Is there evidence that the reaction time before lunch is significantly shorter than the reaction time after lunch?

Sampling is the process of selecting a representative subset of observations from a population to determine characteristics (i.e. the population parameters) of the random variable under study. Probability sampling includes all selection methods where the observations to be included in a sample have been selected on a purely random basis from the population. Briefly explain FIVE (5) types of probability sampling.

1. Suppose X has a Normal distribution with mean µ= 50 and standard deviation σ = 8.

1. What percent of X is between 42 and 58?

2. What percent of X is greater than 66?

3. What is the value of X for which 10% of the distribution is less?

4. Determine the 35^th percentile.

please answer all questions

1. The primary purpose of Pearson’s Correlation Coefficient is?

1. to measure the strength of a linear relationship between two variables
2. draw a Scatterplot
3. find Residual values
4. transform a linear relationship between two variables to a curved relationship

2. A Scatterplot is used to:

1. visually represent bivariate data
2. identify correlation data patterns
3. determine cause-and-effect relationships
4. answers A and B

3. What is the symbol for coefficient of determination?

A.    c            

B.    r²

C.    d            

D. None of the above

4. What is the symbol for correlation of coefficient?

1.   r
2. d
3. c
4. None of the above

5. A scatterplot is:

1. a graph on the coordinate plane that contains on point for each pair of data
2. an explanatory variable
3. negative slope
4. a response variable

6. If the likelihood of one outcome is not affected by the occurrence of another outcome, the outcome is:

1. Similar
2. Relational
3. Dependent
4. Independent

RESEARCH QUESTION: Can a daughter’s height be predicted from a mother’s height?

Use the following data to answer the questions.

Using your calculator.

7. What is the linear correlation coefficient value?

1. 0.00
2. 0.90
3. 0.47
4. 0.27

8. What is the coefficient of determination value?

1. 0.22
2. 0.99
3. 0.47
4. 0.90

9. What is the “line of best fit” formula with values from your calculator using y = ax + b

1. y = 0.27 x + 46.30
2. y = 0.47 x + 46.30
3. y = 0.27 x + 49
4. None of the above

10. Using the formula of “line of best fit” found in question #9, if the mother’s height is x = 60 inches, what is the daughter’s height in inches?

1. 80.4 inches
2. 75.0 inches
3. 62.5 inches
4. 36.9 inches

Q. It was thought that at a particular point in time 15% of the rabbit population in a region was infected by RHDV1-K5 virus. At the time a researcher trapped 25 rabbits from this region and had each tested to see if it carries virus. The number of rabbits in this sample with the virus is denoted by V.

a) Write down the possible values of V.

b) State a suitable distribution for V and provide the parameter(s) for the distribution.

c) Determine the Expected value of V and interpret this value in context to the research.

d) USe and show manual calculation to determine the probability that at least 2 rabbits have the virus.

e) It transpired that 20 of the rabbit did in fact carry the virus. Use R commander to determine the probability that 20 or more rabbit will have the virus.

f) Considering your answer to part e), say if this casts doubt on the original understanding of the prevalence of the virus in this region at that point in time. Give brief explanation.  

Two Way ANOVA

A mechanical engineer is studying the thrust force developed by a drill press. He suspects that the drilling speed and the feed rate of the material are the most important factors. He selects four feed rates and uses a high and low drill speed chosen to represent the extreme operating conditions. He obtains the following results.

Analyze the data (TWO WAY ANOVA) and draw conclusions. Use a = 0.05.

DO HYPOTHESIS TESTING and show steps how to insert data into EXCEL.