THE SAMPLE STATISTICS ARE GIVEN BELOW. ASSUME THE POPULATION VARIANCES ARE NOT EQUAL USE a=0.01

n1=18 n2=13

X1= 785 X2=770

S1=40 S2=25

PLEASE NOTE THAT THE X'S HAVE A BAR OVER THEM

You ask 6 of your friends how many dogs they have and how many cats they have. You record the data as ordered pairs (0,0), (0,1), (1,1), (2,1), (3,3), (5, 4).

1.Create a scatter plot of the data

2.Draw in an estimate of the least squares regression

3.Calculate the least squares regression line. Write the equation of that line.

1. Book Publishing

You are the owner of a publishing firm and you have a new author that you plan to publish. It is an action/espionage novel. You believe that the author has a good book, but it is her first book and you don’t really know what the sales numbers will look like. As such, you want to do a break even analysis to find out how many books you have to sell in order to get back your initial investment.

The book will be published in paperback sized 6”x9”. The initial set up cost for setting up the press for the book is $900 dollars. After the additional cost for setting up the press, each book will cost $2.19 each to make.

1. How much will it cost to print _ books?
   • 100 books
   • 200 books
   • 500 books
   • 1000 books
   • 2000 books
2. What is the cost per book for each quantity?
3. If the book retails at 9.99, How many books do you need to sell in order to break even?
   • 10.99
   • 11.99
   • 12.99
4. Is publishing this book a good idea? Are you willing to make the investment to print the books? How many books would you print to get the project started? Why? How much would you charge?

The average American man consumes 9.8 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible.

a. What is the distribution of X? X ~ N(,)

b. Find the probability that this American man consumes between 10.6 and 11.1 grams of sodium per day.

c. The middle 20% of American men consume between what two weights of sodium?

Low:

High:

The scores for a certain test of intelligence are normally distributed with mean 100 and standard deviation Find the 80th percentile of these scores.

Below is the table used, I still cant figure out what the 80% would be here:

Standard Scores and Percentiles

​z-score

Percentile

​z-score

Percentile

​z-score

Percentile

​z-score

Percentile

minus−3.5

00.02

minus−1.00

15.87

0.00

50.00

1.1

86.43

minus−3.0

00.13

minus−0.95

17.11

0.05

51.99

1.2

88.49

minus−2.9

00.19

minus−0.90

18.41

0.10

53.98

1.3

90.32

minus−2.8

00.26

minus−0.85

19.77

0.15

55.96

1.4

91.92

minus−2.7

00.35

minus−0.80

21.19

0.20

57.93

1.5

93.32

minus−2.6

00.47

minus−0.75

22.66

0.25

59.87

1.6

94.52

minus−2.5

00.62

minus−0.70

24.20

0.30

61.79

1.7

95.54

minus−2.4

00.82

minus−0.65

25.78

0.35

63.68

1.8

96.41

minus−2.3

01.07

minus−0.60

27.43

0.40

65.54

1.9

97.13

minus−2.2

01.39

minus−0.55

29.12

0.45

67.36

2.0

97.72

minus−2.1

01.79

minus−0.50

30.85

0.50

69.15

2.1

98.21

minus−2.0

02.28

minus−0.45

32.64

0.55

70.88

2.2

98.61

minus−1.9

02.87

minus−0.40

34.46

0.60

72.57

2.3

98.93

minus−1.8

03.59

minus−0.35

36.32

0.65

74.22

2.4

99.18

minus−1.7

04.46

minus−0.30

38.21

0.70

75.80

2.5

99.38

minus−1.6

05.48

minus−0.25

40.13

0.75

77.34

2.6

99.53

minus−1.5

06.68

minus−0.20

42.07

0.80

78.81

2.7

99.65

minus−1.4

08.08

minus−0.15

44.04

0.85

80.23

2.8

99.74

minus−1.3

09.68

minus−0.10

46.02

0.90

81.59

2.9

99.81

minus−1.2

11.51

minus−0.05

48.01

0.95

82.89

3.0

99.87

minus−1.1

13.57

minus−0.00

50.00

1.00

84.13

3.5

99.98

A city has 10,000 households, and you have collected a simple random sample size of 25 from the households in this city and measured how much each household paid in school taxes in 2012. For this sample, X = $2500, and s = $ 1000. You wish to construct a 95% confidence interval for μ.

7. Dave’s Pizza periodically has a special week-long sale. As part of the advertising campaign Dave’s

runs one or more television commercials during the weekend preceding the sale. Data from a sample of

4 previous sales are shown.

Number of Ads

Weekly Revenue

12

27600

5

13385

9

15486

15

2820

Estimate the slope and intercept for the number of ads and weekly revenue for Dave’s Pizza. (5 points)

Estimate weekly revenue if 17 ads are placed. Explain your answer. (3 points)

how would you answer these questions

1. EXPLORE the UF data variable ‘salary’ (3 pts). Copy & Paste the following information:
   1. Descriptives
   2. Outliers
   3. A stem-and-leaf plot

How many permutations of the letters m, n, o, p, q contain the string mn or the string mo or the string op-last year exam?

The first few problems ask you to "describe" a random variable, which means:

Give the sample space S (the result of the random experiment, from which the output of the random variable is calculated);

Give RX (you may schematize it if it is very complicated or infinite);

Give fX (you may use fractions or decimals) and show how it was calculated unless it is very simple;

Problem 2:

Suppose we have a sack with 2 red balls and 5 black balls, and we draw balls without replacement until a red ball is drawn. Let X = "the number of balls drawn".

Describe the random variable XX.

One measure of the state of the economy is the amount of money homeowners pay on their mortgage each month. To determine the extent of change between this year and 5 years ago, a random sample of 150 homeowners was drawn. The monthly mortgage payments for each homeowner for both this year and 5 years ago were recorded. Can we infer that mortgage payments, on average, have risen over the past 5 years?

State the appropriate hypotheses and decision rule, (use a .05 significance level)

This Year	5 years ago
613.21	783.31
551.66	498.33
633.4	560.8
703.02	745.84
1158.98	1135.76
1203.77	1342.59
958.4	1003.81
872.57	874.24
1086.69	886.97
692.15	760.52
785.58	819.59
1196.76	1127.73
705.87	614.28
380.99	318.21
964.1	769.98
1025.34	1030.62
726.33	593.46
700.16	731.64
847.21	885.72
767.43	813.06
858.47	732.88
966.11	922.84
501.64	428.1
921.37	801.76
747.42	558.12
993.44	1044.33
872.8	814.49
1006.41	981.71
957.56	862.93
927.7	981.66
791.51	829.34
926.52	937.86
916.45	1022.83
790.54	749.18
1026.06	1053.49
1071.33	1046.71
954.09	838.61
823.69	966.36
973.28	901.78
851.19	879.88
829.46	705.31
845.07	597.36
1150.59	817.73
865.7	687.39
992.31	1136.48
1105.74	1162.46
1098.17	1056.31
949.96	971.49
832.38	723.45
706.99	579.4
776.6	712.53
914.53	919.6
950.93	1000.64
844.96	943.07
1272.33	1177.34
1193.77	1260.44
1192.95	1029.59
889.18	932.37
785.99	891.97
794.99	786.56
1420.67	1359.69
769.54	716.6
905	1051.43
937.82	771.66
837.85	691.59
830.56	862.17
1006.75	1011.87
1014.53	970.39
859.22	740.95
844.19	837.66
653.69	713.55
1036.43	1083.54
936.32	993.66
1067.83	934.16
785.78	734.07
1289.97	1203.78
1019.45	1084
1154.34	1220.97
766	849.81
1064.63	1065.69
1107.34	986.74
1135.39	1038.17
969.32	924.85
679.52	759.79
1306.65	1319.13
882.13	703.69
1156.16	1285.66
1058.55	1130.93
987.55	901.81
1001.2	999.7
1015.94	1183.06
1071.57	1192.89
873.11	831.75
643.56	577.35
1056.94	903.02
882.3	967.83
1006.83	1101.75
835.93	857.67
1161.75	1224.46
1031.69	1102.14
1078.51	1210
692.49	724.34
820.46	824.06
1016.01	969.14
678.78	828.01
1082.32	1095.75
984.96	1006.39
1267.38	1461.02
1022.35	1012.31
753.21	724.78
915.33	959.13
1051.46	979.36
825.76	703.88
1058.28	990.9
891.43	888.71
768.28	882.81
830.71	949.45
1019.65	1041.31
1075.36	998.78
1043.12	929.16
1070.83	1022.38
1027.89	1099.14
1225.82	1170.87
889.68	903.36
735.47	826.83
727.6	588.44
423.58	447.92
1028.21	1188.22
978.63	1132.73
1249.64	1347.06
651.15	623.06
887.56	870.17
1265.12	1217.68
977.6	973.38
696.85	719.89
1009.77	884.88
1148.88	1116.76
989.87	912.95
1024.76	1140.64
825.51	933.2
1137.11	1036.84
934.07	829.58
1005.67	732.09
1164.36	1174.83
1160.31	1231.23
652.57	531.79
1290.54	1257.28
1184.99	1236.76
1132.33	1251.48
806.46	613.17

Tyler lives in Anchorage and has loss averse preferences. In particular, Tyler values a gain of amount x as u(x) = x^(1/2) and values a loss of −x as u(−x) = −2x 1 2

(a) What is the maximum amount of money that Tyler would pay for a lottery that pays $1000 with probability 1/2 and $0 with probability 1/2 ?

(b) What is the maximum amount of money that Tyler would pay to avoid playing a lottery that loses $1000 with probability 1/2 and loses $0 with probability 1/ 2 ?

(c) What is the maximum amount of money that Tyler would pay to avoid playing a lottery that loses $1000 with probability 1/2 and gains $1000 with probability 1/2 ?

Recall that "very satisfied" customers give the XYZ-Box video game system a rating that is at least 42. Suppose that the manufacturer of the XYZ-Box wishes to use the random sample of 64 satisfaction ratings to provide evidence supporting the claim that the mean composite satisfaction rating for the XYZ-Box exceeds 42.   

(a) Letting µ represent the mean composite satisfaction rating for the XYZ-Box, set up the null hypothesis H₀ and the alternative hypothesis H_a needed if we wish to attempt to provide evidence supporting the claim that µ exceeds 42.

H₀: µ (Click to select)=≠≤><≥ 42 versus H_a: µ (Click to select)≥=>≤<≠ 42.

(b) The random sample of 64 satisfaction ratings yields a sample mean of x¯=42.970x¯=42.970. Assuming that σ equals 2.67, use critical values to test H₀ versus H_a at each of α = .10, .05, .01, and .001. (Round your answer z_.05 to 3 decimal places and other z-scores to 2 decimal places.)

z =      

Rejection points
z.10
z.05
z.01
z.001

Reject H₀ with α = (Click to select).001.10.10, .05, .01.01, .001 , but not with α =(Click to select).10.10, .05, .01.01, .001.001

(c) Using the information in part (b), calculate the p-value and use it to test H₀ versus H_a at each of α = .10, .05, .01, and .001. (Round your answers to 4 decimal places.)

	p-value =
	Since p-value =  is less than (Click to select).10, .05, .01.01, .001.001.10 ; reject H0 at those levels of α but not with α = (Click to select).10.001.01, .001.10, .05, .01.

(d) How much evidence is there that the mean composite satisfaction rating exceeds 42?

There is (Click to select)very strongextremely strongnoweakstrong evidence.

Provide formula for effect sizes and step-by-step solution by hand or software.

A researcher is studying the effects of inserting questions into instructional material for learning. There is doubt whether these questions would be more effective before or after the corresponding passage. In addition, the researcher wants to know the impact of factual and thought provoking questions. Students are randomly assigned to one of each of the four combination: position of question (before vs. after the passage) and type of question (factual vs. thought provoking). After 15 hours of studying under these conditions, the students are given a test on the content of the instructional materials. The test scores are below. What can be concluded with α = 0.01?

                     Position

Type	before	after
factual	21 31 32 25 28 19	29 24 33 26 25 30
thought	27 20 15 21 26 24	36 39 41 29 31 35

a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way ANOVA

b) Compute the appropriate test statistic(s) to make a decision about H₀.
Type: critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

Position: critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

Interaction: critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0


c) Compute the corresponding effect size(s) and indicate magnitude(s).
Type: η² =  ;  ---Select--- na trivial effect small effect medium effect large effect
Position: η² =  ;  ---Select--- na trivial effect small effect medium effect large effect
Interaction: η² =  ;  ---Select--- na trivial effect small effect medium effect large effect


d) Make an interpretation based on the results.

There is a question type difference in the test scores.There is no question type difference in the test scores.    

There is a question position difference in the test scores.There is no question position difference in the test scores.    

There is a question type by position interaction in the test scores.There is no question type by position interaction in the test scores.    

Given the data listed in the table, calculate the lower and upper bound for the 95% confidence interval for the mean at X = 7. The regression equation is given by y^ = b₀ + b₁x.

Regression Statistics
Statistic	Value
b0	4.3
b1	0.50
x	5.36
se	3.116
SSX	25.48
SST	58.25
n	40

Give your answers to 2 decimal places. You may find this Student's t distribution table useful.

a) Lower bound =

b)Upper bound =