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**Week 8 Assignment Chapter 10,11,12 Problems | Complete Solution**

- From Mathematics, Statistics

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10.55 Consider an experiment with four groups, with eight values in each. For the ANOVA summary table below, fill in all the missing results:

10.59

A hospital conducted a study of the waiting time in its emergency room. The hospital has a main campus and three satellite locations. Management had a business objective of reducing waiting time for emergency room cases that did not require immediate attention. To study this, a random sample of 15 emergency room cases that did not require immediate attention at each location were selected on a particular day, and the waiting time (measured from check-in to when the patient was called into the clinic area) was measured. The results are stored in ERWAITING

a. At the 0.05 level of significance, is there evidence of a difference in the mean waiting times in the four locations?

b. If appropriate, determine which locations differ in mean waiting time.

c. At the 0.05 level of significance, is there evidence of a difference in the variation in waiting time among the four locations?

ER WAITING - DATA:

Main Satellite 1 Satellite 2 Satellite 3

120.08 30.75 75.86 54.05

81.90 61.83 37.88 38.82

78.79 26.40 68.73 36.85

63.83 53.84 51.08 32.83

79.77 72.30 50.21 52.94

47.94 53.09 58.47 34.13

79.88 27.67 86.29 69.37

48.63 52.46 62.90 78.52

55.43 10.64 44.84 55.95

64.06 53.50 64.17 49.61

64.99 37.28 50.68 66.40

53.82 34.31 47.97 76.06

62.43 66.00 60.57 11.37

65.07 8.99 58.37 83.51

81.02 29.75 30.40 39.17

11.21

When performing a X2 test of independence in a contingency table with r rows and c columns, determine the upper-tail critical value of the test statistic in each of the following circumstances:

a. a = 0.05, r = 4 rows, c = 5 columns

b. a = 0.01, r = 4 rows, c = 5 columns

c. a = 0.01, r = 4 rows, c = 6 columns

d. a = 0.01, r = 3 rows, c = 6 columns

e. a = 0.01, r = 6 rows, c = 3 columns

11.22

The owner of a restaurant serving Continental-style entrées has the business objective of learning more about the patterns of patron demand during the Friday-to-Sunday weekend time period. Data were collected from 630 customers on the type of entrée ordered and the type of dessert ordered and organized into the following table:

At the 0.05 level of significance, is there evidence of a relationship between type of dessert and type of entrée?

11.26

USA Today reported on when the decision of what to have for dinner is made. Suppose the results were based on a survey of 1,000 respondents and considered whether the household included any children under 18 years old. The results are cross-classified in the following table:

At the 0.05 level of significance, is there evidence of a significant relationship between when the decision is made of what to have for dinner and the type of household?

12.3

Fitting a straight line to a set of data yields the following prediction line:

a. Interpret the meaning of the Y intercept, b0

b. Interpret the meaning of the slope, b1.

c. Predict the value of Y for X = 6.

12.7

Starbucks Coffee Co. uses a data-based approach to improving the quality and customer satisfaction of its products. When survey data indicated that Starbucks needed to improve its package sealing process, an experiment was conducted (data extracted from L. Johnson and S. Burrows, “For Starbucks, It’s In the Bag,” Quality Progress, March 2011, pp. 17–23) to determine the factors in the bag-sealing equipment that might be affecting the ease of opening the bag without tearing the inner liner of the bag. One factor that could affect the rating of the ability of the bag to resist tears was the plate gap on the bag sealing equipment. Data was collected on 19 bags in which the plate gap was varied. The results are stored in STARBUCKS.

a. Construct a scatter plot.

b. Assuming a linear relationship, use the least-squares method to determine the regression coefficients b0 and b1.

c. Interpret the meaning of the slope, b1, in this problem.

d. Predict the tear rating when the plate gap is equal to 0.

STARBUCKS – DATA:

Tear Viscosity Pressure Plate Gap

0.00 350.00 180.00 0.00

0.00 350.00 170.00 0.00

0.45 319.00 186.00 1.80

0.85 380.00 174.00 1.80

0.35 350.00 180.00 0.00

0.30 300.00 180.00 0.00

0.70 400.00 180.00 0.00

1.90 350.00 190.00 0.00

0.25 350.00 180.00 0.00

0.10 319.00 186.00 -1.80

0.15 380.00 186.00 -1.80

3.90 350.00 180.00 3.00

0.00 380.00 174.00 -1.80

0.55 350.00 180.00 0.00

0.00 350.00 180.00 -3.00

0.05 319.00 174.00 -1.80

0.40 319.00 174.00 1.80

4.30 380.00 186.00 1.80

0.00 350.00 180.00 0.00

12.9

An agent for a residential real estate company has the business objective of developing more accurate estimates of the monthly rental cost for apartments. Toward that goal, the agent would like to use the size of an apartment, as defined by square footage to predict the monthly rental cost. The agent selects a sample of 25 apartments in a particular residential neighborhood and collects the following data (stored in RENT).

a. Construct a scatter plot.

b. Use the least-squares method to determine the regression coefficients b0 and b1.

c. Interpret the meaning of b0 and b1 in this problem.

d. Predict the monthly rent for an apartment that has 1,000 square feet.

RENT – DATA:

Rent Size (SQ FT)

950 850

1600 1450

1200 1085

1500 1232

950 718

1700 1485

1650 1136

935 726

875 700

1150 956

1400 1100

1650 1285

2300 1985

1800 1369

1400 1175

1450 1225

1100 1245

1700 1259

1200 1150

1150 896

1600 1361

1650 1040

1200 755

800 1000

1750 1200

12.19

In Problem 12.7 on page 441, you used the plate gap on the bag-sealing equipment to predict the tear rating of a bag of coffee (stored in STARBUCKS). Using the results of that problem,

a. Determine the coefficient of determination, r2, and interpret its meaning.

b. Determine the standard error of the estimate.

c. How useful do you think this regression model is for predicting the tear rating based on the plate gap in the bag-sealing equipment?

12.21

In Problem 12.9 on page 442, an agent for a real estate company wanted to predict the monthly rent for apartments, based on the size of the apartment (stored in RENT). Using the results of that problem,

a. Determine the coefficient of determination, r2, and interpret its meaning.

b. Determine the standard error of the estimate.

c. How useful do you think this regression model is for predicting the monthly rent?

d. Can you think of other variables that might explain the variation in monthly rent?

**Week 8 Assignment Chapter 10,11,12 Problems | Complete Solution**

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- Submitted On 27 Jun, 2015 11:59:15

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