Questions
Use Minitab to construct an 85% confidence interval for the proportion of all residents in the...

Use Minitab to construct an 85% confidence interval for the proportion of all residents in the state that favor a pro-nuclear energy policy. Please show me the steps.

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In: Math

Given trap spacings among two lobster fishing crews: BT cooperative has spacings = {93, 99, 105,...

Given trap spacings among two lobster fishing crews: BT cooperative has spacings = {93, 99, 105, 94, 82, 70, 86} PA cooperative has spacings = {118, 94, 106, 72, 90, 66, 153, 98}

a) Set up null and alternative hypotheses for testing the equality of variances

b) Find the sample variances for the two cooperatives.

c) Compute the test statistic.

d) Find the approximate p-value of the test.

e) Make a conclusion if ? = .01.

In: Math

The biggest determining the value of a home square footage accompanying data represent the square footage...

The biggest determining the value of a home square footage accompanying data represent the square footage and selling price for a random sample of homes for sale in a certain region
Sample Footage, x. Selling Price ($000s), y
2292. 393.8
3216 381.5
1074 181.5
1948 333.8
3196 634
2670 354
4126 629.7
2126 363.8
2637 429.4
1707 298.1
1855 281.9
3930 708.6

a.) determine the linear correlation coefficient between square footage and asking price
b.) find the least squares regression line treating square footage as the explanatory variable
c.) interpret the slope
for every additional square foot, the selling price increased by ______ thousand dollars, on average
d.) is it reasonable to interprey the y-intercept? why?
a house of ___ square feet is not possible and outsidw the scope of the model
e.) one home that is 1431 square feet is sold for $210 thousand. is this home’s price above or below average for a homr of this size?
the average price of a home that id 1431 feet id $______ thosand.

In: Math

1. Given PMF f(x) =(x^2−3)/20 for X= 2,3,4 •Make a probability distribution table for X •Find...

1. Given PMF f(x) =(x^2−3)/20 for X= 2,3,4

•Make a probability distribution table for X

•Find the CDF of X,F(x)

•Find the mean of X,μX, and the S.D. of X,σX

•If Y=1/3 X+ 2, find the mean of Y,μY, and the S.D. of YσY

In: Math

Sample statistics for a local bank and a competitor's bank Sample size Local Bank n1=46 Competitor...

Sample statistics for a local bank and a competitor's bank

Sample size Local Bank n1=46

Competitor Bank

n2=50

Average waiting time in minutes for each sample X⎯⎯⎯1=2.3 mins.
X2__ =2.6
Sample Standard Deviation of each Sample s1= 1.1 mins
s2=1.0 mins.
  1. Are the samples dependent or independent?
  2. State your Null/Alternative hypotheses
  3. What is the test-statistic?
  4. What is the p-value?
  5. What are the critical values?
  6. Does the test-statistic lie in the rejection region?
  7. Interpret the Result?
  8. Does the result change for a different value of alpha? Explain?

In: Math

13)) A sample containing years to maturity and yield for 40 corporate bonds are contained in...

13))

A sample containing years to maturity and yield for 40 corporate bonds are contained in the data given below.

Years to Maturity
Yield
Years to Maturity
Yield
23.75
5.733 18.75 6.397
22.25 0.939 18.50 6.988
25.00 7.016 28.00 7.849
2.75 3.219 19.25 2.202
26.75 6.579 29.75 6.383
28.50 1.487 7.75 7.250
28.25 3.846 10.25 2.962
19.25 2.796 6.50 4.389
11.50 1.287 11.75 3.755
2.00 5.114 29.75 3.592
12.25 3.991 19.50 6.449
22.00 2.850 24.50 6.275
8.00 8.161 10.25 6.019
1.50 2.248 9.75 1.360
26.75 3.216 6.75 3.384
12.00 2.095 25.25 4.193
9.00 5.708 18.50 5.089
8.75 5.241 23.25 5.750
11.50 2.793 7.50 5.471
16.00 1.135 15.25 3.074

a. What is the sample mean years to maturity for corporate bonds and what is the sample standard deviation?

Mean (to 4 decimals) _____ Standard deviation______ (to 4 decimals)

b. Develop a 95% confidence interval for the population mean years to maturity. Round the answer to four decimal places. ( , )years

c. What is the sample mean yield on corporate bonds and what is the sample standard deviation?

Mean _________(to 4 decimals) Standard deviation __________(to 4 decimals)

In: Math

A political scientist hypothesize that a political ad will increase attitudes about a particular issue. The...

A political scientist hypothesize that a political ad will increase attitudes about a particular issue. The scientist randomly asks 25 individuals walking by to see the ad and then take a quiz on the issue. The general public that knows little to nothing about the issue, on average, scores 50 on the quiz. The individuals that saw the ad scored an average of 47.55 with a variance of 28.73. What can the political scientist conclude with an α of 0.05?

a) What is the appropriate test statistic?
---Select--- na z-test one-sample t-test independent-samples t-test related-samples t-test

b)
Population:
---Select--- the ad individuals walking by general public the particular issue the political ad
Sample:
---Select--- the ad individuals walking by general public the particular issue the political ad

c) Compute the appropriate test statistic(s) to make a decision about H0.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
critical value =  ; test statistic =
Decision:  ---Select--- Reject H0 Fail to reject H0

d) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below.
[  ,  ]

e) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
d =  ;   ---Select--- na trivial effect small effect medium effect large effect
r2 =  ;   ---Select--- na trivial effect small effect medium effect large effect

f) Make an interpretation based on the results.

Individuals that watched the political ad scored significantly higher on the quiz than the general public.Individuals that watched the political ad scored significantly lower on the quiz than the general public.    Individuals that watched the political ad did not score significantly different on the quiz than the general public.

In: Math

How do horsepower and weight affect the mileage of family cars? Data from a sample of...

How do horsepower and weight affect the mileage of family cars? Data from a sample of 12 2012 family cars are given below (Data extracted from “Top 2012 Cars,” Consumer Reports, April 2012, pp. 40–73.) Develop a regression model to predict mileage (as measured by miles per gallon) based on the horsepower of the car’s engine and the weight of the car (in pounds). Car MPG Horsepower Weight Audi A3 25 200 3305 Chrysler 200 21 173 3590 Dodge Avenger 21 173 3440 Ford Fusion 24 240 3365 Honda Accord 25 177 3285 Kia Optima 25 200 3260 Mazda6 24 170 3185 Mitsubishi Galant 23 160 3430 Nissan Altima 26 175 3155 Suburu Legacy 25 170 3390 Toyota Camry 27 173 3155 Volkswagen Passat 25 170 3270 Use Excel to find the multiple regression results for this problem. Include Excel results with your submission. a. State the multiple regression equation for this problem. b. Interpret the meaning of the slopes, b1 and b2, in this problem. c. Does the regression coefficient, b0, has a practical meaning in the context of this problem. d. Predict the miles per gallon for cars that have 190 horsepower and weigh 3,500 pounds. e. Compute the coefficient of multiple determination, r2, and interpret its meaning. f. Compute the adjusted r2.

In: Math

Use the normal distribution to find a confidence interval for a proportion p given the relevant...

Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best point estimate for p, the margin of error, and the confidence interval. Assume the results come from a random sample. A 95% confidence interval for p given that p Overscript ^ EndScripts equals 0.42 and n equals 450. Round your answer for the best point estimate to two decimal places, and your answers for the margin of error and the confidence interval to three decimal places.

best point estimate ?

MOE?

95% CI?

In: Math

Let μ1 denote true average tread life for a premium brand of P205/65R15 radial tire, and...

Let μ1 denote true average tread life for a premium brand of P205/65R15 radial tire, and let μ2 denote the true average tread life for an economy brand of the same size. Test H0: μ1 − μ2 = 5000 versus Ha: μ1 − μ2 > 5000 at level 0.01, using the following data: m = 35, x = 42,100, s1 = 2500, n = 35, y = 36,900, and s2 = 1500. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = 0.4058 Correct: Your answer is correct. P-value = 0.5942 Incorrect: Your answer is incorrect.

In: Math

11. For a local basketball league, there were 10 teams whose players were assigned to a...

11. For a local basketball league, there were 10 teams whose players were assigned to a team based on their score on an abilities test. Those results are given below.

Team 1

Team 2

Team 3

Team 4

Team 5

Team 6

Team 7

Team 8

Team 9

Team 10

87

98

103

105

90

108

94

108

97

109

81

91

80

87

78

91

82

89

90

87

70

85

78

77

77

77

76

76

86

76

64

82

77

74

72

67

75

72

73

69

63

76

64

62

70

60

66

66

69

68

62

56

63

57

64

58

62

63

66

67

56

48

55

56

57

54

55

51

58

57

55

44

48

53

52

53

49

49

50

56

52

42

42

47

39

47

46

46

48

56

40

44

The summary statistics are:

SUMMARY

Groups

Count

Sum

Average

Variance

Team 1

9

590

65.55556

140.7778

Team 2

9

622

69.11111

470.3611

Team 3

9

610

67.77778

354.4444

Team 4

9

618

68.66667

351.25

Team 5

9

599

66.55556

237.5278

Team 6

9

615

68.33333

404.5

Team 7

9

605

67.22222

254.1944

Team 8

9

620

68.88889

409.6111

Team 9

10

677

67.7

365.1222

Team 10

10

689

68.9

342.7667

  1. From just looking at the summary data, what conclusions might you draw? (You may want to talk about average and/or variance)

In: Math

During the holiday season, shoppers were asked to estimate how much money they spent on gifts...

During the holiday season, shoppers were asked to estimate how much money they spent on gifts for themselves. Raw data is given below. Are the reported amounts significantly less than the actual amounts as determined from the receipts?

1) Write Ho (null) and H1 (alternative); indicate which is being tested.

2) Perform the statistical test ad write answer to the original question as a statement related to the original query

2) Construct a 99% confidence interval estimate of the mean difference between reported amounts and actual amounts . Interpret the resulting confidence interval, does it contain 0?

Actual Reported
53 26
67 45
72 54
72 49
62 35
70 41
73 41
68 49
64 38
58 31
73 44
37 19
63 32
67 37
52 29
59 33
64 39
36 19
59 30
72 48
57 32
61 33
54 28
40 23
63 42
43 23
66 34
60 31
60 34
61 34
40 26
64 48
65 48
49 29
47 29
59 35
72 44
65 39
63 40
70 50
48 31
50 38
76 55
46 27
61 44
63 44
48 26
41 26
53 30
52 28
46 23
43 24
75 54
57 32

In: Math

A student in a statistics class tossed a die 300 times and obtained the results shown...

A student in a statistics class tossed a die 300 times and obtained the results shown in the table. Is the die fair? In other words does it fit a uniform distribution? Let alpha =.05        

Outcome

1

2

3

4

5

6

Observed Frequency

53

41

60

47

38

61

A. What is the null hypothesis?

B. What is the alternative hypothesis?

C. What distribution are you using?

D. What test are you running?

E. What is your conclusion?

In: Math

You spoke with your instructor and she claimed that the average number of hours that you...

You spoke with your instructor and she claimed that the average number of hours that you should study has to be more than 5 hours per week which will help you achieve an above average grade on any subject. She also suggested as a practice that you can test her claim and let her know what your conclusion is. So you decided to contact your peers and gather information to conduct a hypothesis to test your instructors claim.

Questions:

  1. Contact at least 15 peers (they don’t have to be from the same class) and obtain how much time they study each week.
  1. If you are to conduct a hypothesis test using the data you gathered,
    1. Which test (t test or z test) do you think be appropriate and why?
      (Hint: think about whether you have the population or sample standard deviation available)
  1. Is this a test on population proportion or mean?

  1. Calculate the sample statistics (sample mean or sample proportion based on the information given) (1 mark)
  1. Use the data set you gathered to conduct a hypothesis test to determine your instructor’s claim. Use 0.05 level of significance. Please show your work, the 5 steps as described in the textbook.

  1. Construct a 95% confidence interval for the population mean number of hours. Show your work.

In: Math

When is SRS preferred over stratified sampling? That is, under what circumstances is straified sampling inferior...

When is SRS preferred over stratified sampling? That is, under what circumstances is straified sampling inferior to SRS? My professor said "when within variance is larger, and between mean is smaller" stratified sampling isnt going to do much, and SRS would suffice. However, it is unclear what this means. Thoughts?

In: Math