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Brase and Brase - Brief Statistics 5/e (Homework)

James Finch

Statistics, section 2, Fall 2019

Instructor: Dr. Friendly

Current Score : 20 / 23

Due : Sunday, January 27, 2030 23:30 EST

Last Saved : n/a Saving...  ()

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20/23 (87.0%)

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    Here are some textbook questions from Brief Statistics 5/e by Charles Henry Brase and Corinne Pellillo Brase published by Brooks/Cole. Click here for a list of all of the questions coded in WebAssign. This demo assignment allows many submissions and allows you to try another version of the same question for practice wherever the problem has randomized values.

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1. –/1 points BBriefStat5 3.1.004. My Notes
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Consider the following types of data that were obtained from a random sample of 49 credit card accounts. Identify all the averages (mean, median, or mode) that can be used to summarize the data. (Select all that apply.)
(a) Outstanding balance on each account

(b) Name of credit card (e.g., MasterCard, Visa, American Express, etc.)

(c) Dollar amount due on next payment

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2. –/1 points BBriefStat5 3.2.009. My Notes
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–/1
 
Kevlar epoxy is a material used on the NASA Space Shuttle. Strands of this epoxy were tested at the 90% breaking strength. The following data represent time to failure (in hours) for a random sample of 50 epoxy strands.† Let x be a random variable representing time to failure (in hours) at 90% breaking strength.
0.35 0.11 3.81 0.56 0.53 1.97 0.47 1.79 0.47 1.49
0.44 1.46 0.26 1.55 0.35 1.28 3.69 0.02 0.47 1.25
0.80 0.59 1.76 3.30 0.41 7.69 1.01 0.86 2.00 1.91
1.07 1.67 0.17 2.00 1.10 1.67 0.02 0.11 0.71 1.76
1.94 1.52 1.97 0.38 1.82 1.04 1.85 0.56 1.40 0.86
(a) Find the range. (Round your answer to two decimal places.)


(b) Use a calculator to find Σx and Σx2. (Round your answers to two decimal places.)
Σx =
Σx2 =

(c) Use the results of part (b) to compute the sample mean, variance, and standard deviation for the time to failure. (Round your answers to two decimal places.)
x = hr
s2 =
s = hr

(d) Use the results of part (c) to compute the coefficient of variation CV. (Round your answer the nearest whole number.)
CV = %
What does this number say about time to failure?
    

Why does a small CV indicate more consistent data, whereas a larger CV indicates less consistent data? Explain.
    

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3. –/8 points BBriefStat5 5.1.009. My Notes
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Isabel Briggs Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four main preferences. Do married couples choose similar or different personality types in their mates? The following data give an indication.
Similarities and Differences in a Random Sample of 375 Married Couples
Number of Similar Preferences Number of Married Couples
All four
Three
Two
One
None 		25
135
123
61
31
Suppose that a married couple is selected at random.
(a) Use the data to estimate the probability that they will have 0, 1, 2, 3, or 4 personality preferences in common. (Round your answers to 3 decimal places.)
0 1 2 3 4
(b) Do the probabilities add up to 1?
    
Why should they?
    

What is the sample space in this problem?
    

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4. –/4 points BBriefStat5 5.2.011. My Notes
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You roll two fair dice, a green one and a red one. (Round your answers to three decimal places.)
(a) What is the probability of getting a sum of 6?


(b) What is the probability of getting a sum of 4?


(c) What is the probability of getting a sum of 6 or 4?

Are the outcomes in (c) mutually exclusive?
    

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5. –/9 points BBriefStat5 5.2.022. My Notes
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–/9
 
Are customers more loyal in the East or in the West? The following table is based on information from a recent study. The columns represent length of customer loyalty (in years) at a primary supermarket. The rows represent regions of the United States.
Less Than 1 Year 1-2 Years 3-4 Years 5-9 Years 10-14 Years 15 or More Years Row Total
East 32 60 59 112 77 116 456
Midwest 31 48 68 120 63 179 509
South 53 78 93 158 106 199 687
West 41 54 67 78 45 101 386
Column Total 157 240 287 468 291 595 2038
What is the probability that a customer chosen at random has the following characteristics?
(a) has been loyal 10 to 14 years


(b) has been loyal 10 to 14 years, given that he or she is from the East


(c) has been loyal at least 10 years


(d) has been loyal at least 10 years, given that he or she is from the West


(e) is from the West, given that he or she has been loyal less than 1 year


(f) is from the South, given that he or she has been loyal less than 1 year


(g) has been loyal 1 or more years, given that he or she is from the East


(h) has been loyal 1 or more years, given that he or she is from the West

(i) Are the events from the East and loyal 15 or more years independent? Explain.
    

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