Question: Use the data in table below to answer Questions 5-8. Date Weld Defects Date Weld Defects 12-May-20 19 22-May-20 13 13-May-20 12 23-May-20 3 14-May-20
Use the data in table below to answer Questions 5-8.
Date
Weld Defects
Date
Weld Defects
12-May-20
19
22-May-20
13
13-May-20
12
23-May-20
3
14-May-20
10
24-May-20
18
15-May-20
19
25-May-20
7
16-May-20
7
26-May-20
5
17-May-20
10
27-May-20
11
18-May-20
7
28-May-20
18
19-May-20
1
29-May-20
5
20-May-20
5
30-May-20
11
21-May-20
18
31-May-20
7
1)Using the 2k > n rule, how many classes would be needed for a frequency distribution of visual weld defects?
A.4
B.5
C.6
D.7
2)The independent variable is
A.Time, it is not affected by changes in the other variable
B.Not time, but a specific type of scatter plot in which the data points in the scatter plot are connected with a line
C.Visual weld defects shown as a variable in the scatter plot that is influenced by changes in the other variable
D.A visual picture of the relationship between two data points that are paired together on a graph with a horizontal and vertical axis
In the table below use the data to answer Questions 7-10.
The worksheet shows sales data from a local cell phone store detailing the number of cell phones sold for the month of September. This data is a sample of their overall sales.
Observation
Date
Sales
Observation
Date
Sales
Observation
Date
Sales
1
9/1/2015
12
11
9/11/2015
27
21
9/21/2015
41
2
9/2/2015
17
12
9/12/2015
31
22
9/22/2015
42
3
9/3/2015
17
13
9/13/2015
32
23
9/23/2015
43
4
9/4/2015
24
14
9/14/2015
33
24
9/24/2015
45
5
9/5/2015
24
15
9/15/2015
35
25
9/25/2015
46
6
9/6/2015
25
16
9/16/2015
36
26
9/26/2015
51
7
9/7/2015
26
17
9/17/2015
37
27
9/27/2015
51
8
9/8/2015
26
18
9/18/2015
37
28
9/28/2015
51
9
9/9/2015
27
19
9/19/2015
39
29
9/29/2015
60
10
9/10/2015
27
20
9/20/2015
41
30
9/30/2015
82
3)What is the mean number of cell phones sold during the month?
A.39.41
B.45.50
C.36.17
D.26.00
4)Use the method shown in our book to compute and report the median number of sales during the month of September?
A.25.0
B.35.5
C.46.0
D.46.5
5)Use excel to calculate the number of sales corresponding to the 45th percentile?
A.16.0
B.33.0
C.44.0
D.55.0
6)What is the variance of sales?
A.14.02
B.186.48
C.312.72
D.203.24
Use table below to answer Question 11.
Day
Sales
Day
Sales
Day
Sales
1
7
6
16
11
16
2
5
7
6
12
18
3
8
8
14
13
11
4
12
9
16
14
9
5
14
10
12
15
15
The data is from a small store that recently began offering a new and one-of-a-kind product.The numbers relate to the first 15 days of sales, and include all sales data to date for this item.
7)What is the standard deviation of the sales of this new item?
A.3.97
B.12.81
C.13.58
D.14.62
8)A data set of unknown distribution has a mean of 60 and a standard deviation of 7.At least how much of the data lies between 46 and 74?
A.95%
B.99.7%
C.68%
D.75%
Use the following table for Questions 13 and 14.It is a sample of radar-indicated speed of automobiles on a particular section of a highway.
Speed
Frequency
45-49
2
50-54
5
55-59
7
60-64
11
65-69
15
70-74
5
9)What is the mean speed of the automobiles?
A.63.6
B.59.5
C.62.2
D.65.0
10) What is the standard deviation of the speed of these automobiles?
A.26.66
B.44.40
C.3.22
D.6.74
Use the following data for questions 15-18 showing customer purchases on an average morning.
Donut Type
Coffee
Expresso
Hot Cider
Tea
Total
Baked
2
0
3
2
7
Fried
1
2
5
3
11
Fritters
2
2
3
4
11
Gluten Free
2
0
2
1
5
Rolls
1
1
2
2
6
Total
8
5
15
12
40
11) What is the probability a randomly selected customer purchased a fried donut?
A.0.275
B.0.455
C.0.30
D.0.25
12) Given a randomly selected customer purchased Hot Cider, what is the probability they also purchased a Fritter?
A.0.35
B.0.20
C.0.65
D.0.15
13) What is the probability a randomly selected customer purchased a baked and fried donut?
A.0.00
B.0.45
C.0.25
D.0.80
14) Which of the following statement is true?
A.Purchasing a baked donut is independent of purchasing an expresso
B.Purchasing a Fritter is independent of purchasing a tea
C.Purchasing a rolls is independent of purchasing a coffee
D.None of the above are correct
15) A state motor vehicle department would like to know how many license plate numbers are available if a license plate number consists of three letters (capital letters only) followed by five numbers (0 through 9). The answer is:
A.1757600000
B.8
C.1037845224
D.27
16) A student enrolls in a statistics class.There is a probability of 0.3 that they will be assigned to Professor Jones's class, and a probability of 0.7that they will be assigned to Professor Smith.Historically the probability of getting a B or higher in Professor Jones's class was 0.8 while in Professor Smith's class it was 0.6.Given that a student achieved a B or higher, what is the probability that the student had Professor Jones as an instructor?
A.0.64
B.0.66
C.0.36
D.0.24
Use the following data for problems 21 to 25:
Crusty's Pizza company recently conducted a survey and determined that 85% of it's customers are very satisfied with the quality of the pizza at Crusty's.Using a random sample of 10 customers answer questions 21-26 (assume binomial).
17) What is the expected number of customers that are very satisfied?
A.8.5
B.2.0
C.8
D.9
18) What is the of exactly 8 customers being very satisfied?
A.0.42
B.0.85
C.0.28
D.0.075
19) What is the of no more than 5 customers being very satisfied?
A.0.99
B.0.01
C.0.28
D.0.62
20) What is the of more than 6 customers being very satisfied?
A.0.05
B.0.95
C.0.85
D.0.45
21) What is the of more than 2 customers not being very satisfied?
A.0.15
B.1.00
C.0.18
D.0.42
22) Customers arrive at Crusty's Pizza during the lunchtime rush at an average of 35 every hour.What is the probability of more than 30 customers arriving during the next hour (assume Poisson distribution)?
A.0.23
B.0.64
C.0.36
D.0.77
23) Customers arrive at Crusty's Pizza during the lunchtime rush at an average of 35 every hour.What is the probability of at most 45 customers arriving during the next hour (assume Poisson distribution)?
A.0.04
B.0.96
C.0.02
D.0.46
For Questions 28 - 30, use the following information. Carry out calculations to 4 decimals.
According to National Association of Women Business Owners, women-owned firms accounted for 39% of all privately held firms (2017). 10% of women-owned businesses will employ more than 15 employees within the first 5 years, while for the male-owned businesses that number is slightly higher at 18%.
24) What is the probability that a randomly selected business owner believes his/her business will grow to employ at least 15 people in 5 years?
A.0.1268
B.0.1246
C.0.1488
D.0.2800
25) What is the probability that a randomly selected business owner is a female and expects his/her business will grow to employ at least 15 people in 5 years?
A.0.0390
B.0.1098
C.0.1000
D.0.3900
26) A business owner is selected at random who expects his/her new business will employ 15 or more people within 5 years. What is the probability that this individual is a male?
A.0.6100
B.0.1098
C.0.7379
D.0.1800
27) What is the probability that someone in the United States consumed more than 32 gallons of bottled water in 2012 (assume mean equal to 30.8 gallons, and standard deviation equal to 10 gallons - assume normal distribution)?
A.0.1294
B.0.4522
C.0.8268
D.0.5478
Use the following table and information to answer Questions 32 - 34. The table shows discrete probability distribution for the number of errors per customer name and address field entry.
X
1
2
3
4
5
6
7
8
9
10
P(X)
10E
7E
6E
7E
2E
2E
2E
2E
1E
1E
28) What is the value of E (hint: the sum of probabilities equals 1.00)?
A.0
B.100
C..025
D.1.0
29) What is the mean of the discrete probability distribution?
A.3.5250
B.0
C.4.0000
D.Cannot be computed since there are too many variables
30) What is the variance of the discrete probability distribution (to four decimal places)?
A.0.0000
B.1.8775
C.5.8994
D.9.3428
31) The 3-year-survival rate for a certain group of cancer patients is known to be 40%. What is the probability (to four decimal places) that in a group of 10 patients, more than 6 patients survive at least 3 years (note: 3-year-survival is a binary outcome, and "success" is defined as survival).
A..0425
B..1662
C..0548
D..6331
32) Customers arrive at a bank teller's booth at a rate of 2 per minute.What is the probability (to four decimal places) that 3 customers will arrive at the bank teller's booth within the next minute (assume a Poisson distribution)?
A..6667
B..6723
C..1805
D.1.143
33) An insurance company has a call center that makes cold calls to individuals trying to sell life insurance.The probability of making a sale is 0.08. Assume binomial properties apply.If an individual in the center makes 25 calls, what is the probability they will make sales on more than 5 calls?
A.0.9569
B.0.1600
C.0.0123
D.0.9877
34) A student has not been to class and must pass a 25 question true/false exam to continue in the course. The student will guess on every question and must get at least 16 correct to pass the test.What is the probability that the student will pass the test?
A.0.1148
B.0.0739
C.0.9461
D.0.5000
Please use the following information to answer questions 39 and 40:
Customers arrive at a bakery at an average rate of 10 customers per hour. Arrivals are Poisson.
35) What is the probability that less than 6 customers will arrive in the next hour?
A.0.0378
B.0.0671
C.0.6000
D.0.1126
36) What is the probability that exactly 20 customers will arrive in the next 2 hours?
A.0.0019
B.0.1251
C.0.0888
D.0.5591
Use the data in table below to answer Questions 5-8.
Date
Weld Defects
Date
Weld Defects
12-May-20
19
22-May-20
13
13-May-20
12
23-May-20
3
14-May-20
10
24-May-20
18
15-May-20
19
25-May-20
7
16-May-20
7
26-May-20
5
17-May-20
10
27-May-20
11
18-May-20
7
28-May-20
18
19-May-20
1
29-May-20
5
20-May-20
5
30-May-20
11
21-May-20
18
31-May-20
7
1)Using the 2k > n rule, how many classes would be needed for a frequency distribution of visual weld defects?
A.4
B.5
C.6
D.7
2)The independent variable is
A.Time, it is not affected by changes in the other variable
B.Not time, but a specific type of scatter plot in which the data points in the scatter plot are connected with a line
C.Visual weld defects shown as a variable in the scatter plot that is influenced by changes in the other variable
D.A visual picture of the relationship between two data points that are paired together on a graph with a horizontal and vertical axis
In the table below use the data to answer Questions 7-10.
The worksheet shows sales data from a local cell phone store detailing the number of cell phones sold for the month of September. This data is a sample of their overall sales.
Observation
Date
Sales
Observation
Date
Sales
Observation
Date
Sales
1
9/1/2015
12
11
9/11/2015
27
21
9/21/2015
41
2
9/2/2015
17
12
9/12/2015
31
22
9/22/2015
42
3
9/3/2015
17
13
9/13/2015
32
23
9/23/2015
43
4
9/4/2015
24
14
9/14/2015
33
24
9/24/2015
45
5
9/5/2015
24
15
9/15/2015
35
25
9/25/2015
46
6
9/6/2015
25
16
9/16/2015
36
26
9/26/2015
51
7
9/7/2015
26
17
9/17/2015
37
27
9/27/2015
51
8
9/8/2015
26
18
9/18/2015
37
28
9/28/2015
51
9
9/9/2015
27
19
9/19/2015
39
29
9/29/2015
60
10
9/10/2015
27
20
9/20/2015
41
30
9/30/2015
82
3)What is the mean number of cell phones sold during the month?
A.39.41
B.45.50
C.36.17
D.26.00
4)Use the method shown in our book to compute and report the median number of sales during the month of September?
A.25.0
B.35.5
C.46.0
D.46.5
5)Use excel to calculate the number of sales corresponding to the 45th percentile?
A.16.0
B.33.0
C.44.0
D.55.0
6)What is the variance of sales?
A.14.02
B.186.48
C.312.72
D.203.24
Use table below to answer Question 11.
Day
Sales
Day
Sales
Day
Sales
1
7
6
16
11
16
2
5
7
6
12
18
3
8
8
14
13
11
4
12
9
16
14
9
5
14
10
12
15
15
The data is from a small store that recently began offering a new and one-of-a-kind product.The numbers relate to the first 15 days of sales, and include all sales data to date for this item.
7)What is the standard deviation of the sales of this new item?
A.3.97
B.12.81
C.13.58
D.14.62
8)A data set of unknown distribution has a mean of 60 and a standard deviation of 7.At least how much of the data lies between 46 and 74?
A.95%
B.99.7%
C.68%
D.75%
Use the following table for Questions 13 and 14.It is a sample of radar-indicated speed of automobiles on a particular section of a highway.
Speed
Frequency
45-49
2
50-54
5
55-59
7
60-64
11
65-69
15
70-74
5
9)What is the mean speed of the automobiles?
A.63.6
B.59.5
C.62.2
D.65.0
10) What is the standard deviation of the speed of these automobiles?
A.26.66
B.44.40
C.3.22
D.6.74
Use the following data for questions 15-18 showing customer purchases on an average morning.
Donut Type
Coffee
Expresso
Hot Cider
Tea
Total
Baked
2
0
3
2
7
Fried
1
2
5
3
11
Fritters
2
2
3
4
11
Gluten Free
2
0
2
1
5
Rolls
1
1
2
2
6
Total
8
5
15
12
40
11) What is the probability a randomly selected customer purchased a fried donut?
A.0.275
B.0.455
C.0.30
D.0.25
12) Given a randomly selected customer purchased Hot Cider, what is the probability they also purchased a Fritter?
A.0.35
B.0.20
C.0.65
D.0.15
13) What is the probability a randomly selected customer purchased a baked and fried donut?
A.0.00
B.0.45
C.0.25
D.0.80
14) Which of the following statement is true?
A.Purchasing a baked donut is independent of purchasing an expresso
B.Purchasing a Fritter is independent of purchasing a tea
C.Purchasing a rolls is independent of purchasing a coffee
D.None of the above are correct
15) A state motor vehicle department would like to know how many license plate numbers are available if a license plate number consists of three letters (capital letters only) followed by five numbers (0 through 9). The answer is:
A.1757600000
B.8
C.1037845224
D.27
16) A student enrolls in a statistics class.There is a probability of 0.3 that they will be assigned to Professor Jones's class, and a probability of 0.7that they will be assigned to Professor Smith.Historically the probability of getting a B or higher in Professor Jones's class was 0.8 while in Professor Smith's class it was 0.6.Given that a student achieved a B or higher, what is the probability that the student had Professor Jones as an instructor?
A.0.64
B.0.66
C.0.36
D.0.24
Use the following data for problems 21 to 25:
Crusty's Pizza company recently conducted a survey and determined that 85% of it's customers are very satisfied with the quality of the pizza at Crusty's.Using a random sample of 10 customers answer questions 21-26 (assume binomial).
17) What is the expected number of customers that are very satisfied?
A.8.5
B.2.0
C.8
D.9
18) What is the of exactly 8 customers being very satisfied?
A.0.42
B.0.85
C.0.28
D.0.075
19) What is the of no more than 5 customers being very satisfied?
A.0.99
B.0.01
C.0.28
D.0.62
20) What is the of more than 6 customers being very satisfied?
A.0.05
B.0.95
C.0.85
D.0.45
21) What is the of more than 2 customers not being very satisfied?
A.0.15
B.1.00
C.0.18
D.0.42
22) Customers arrive at Crusty's Pizza during the lunchtime rush at an average of 35 every hour.What is the probability of more than 30 customers arriving during the next hour (assume Poisson distribution)?
A.0.23
B.0.64
C.0.36
D.0.77
23) Customers arrive at Crusty's Pizza during the lunchtime rush at an average of 35 every hour.What is the probability of at most 45 customers arriving during the next hour (assume Poisson distribution)?
A.0.04
B.0.96
C.0.02
D.0.46
For Questions 28 - 30, use the following information. Carry out calculations to 4 decimals.
According to National Association of Women Business Owners, women-owned firms accounted for 39% of all privately held firms (2017). 10% of women-owned businesses will employ more than 15 employees within the first 5 years, while for the male-owned businesses that number is slightly higher at 18%.
24) What is the probability that a randomly selected business owner believes his/her business will grow to employ at least 15 people in 5 years?
A.0.1268
B.0.1246
C.0.1488
D.0.2800
25) What is the probability that a randomly selected business owner is a female and expects his/her business will grow to employ at least 15 people in 5 years?
A.0.0390
B.0.1098
C.0.1000
D.0.3900
26) A business owner is selected at random who expects his/her new business will employ 15 or more people within 5 years. What is the probability that this individual is a male?
A.0.6100
B.0.1098
C.0.7379
D.0.1800
27) What is the probability that someone in the United States consumed more than 32 gallons of bottled water in 2012 (assume mean equal to 30.8 gallons, and standard deviation equal to 10 gallons - assume normal distribution)?
A.0.1294
B.0.4522
C.0.8268
D.0.5478
Use the following table and information to answer Questions 32 - 34. The table shows discrete probability distribution for the number of errors per customer name and address field entry.
X
1
2
3
4
5
6
7
8
9
10
P(X)
10E
7E
6E
7E
2E
2E
2E
2E
1E
1E
28) What is the value of E (hint: the sum of probabilities equals 1.00)?
A.0
B.100
C..025
D.1.0
29) What is the mean of the discrete probability distribution?
A.3.5250
B.0
C.4.0000
D.Cannot be computed since there are too many variables
30) What is the variance of the discrete probability distribution (to four decimal places)?
A.0.0000
B.1.8775
C.5.8994
D.9.3428
31) The 3-year-survival rate for a certain group of cancer patients is known to be 40%. What is the probability (to four decimal places) that in a group of 10 patients, more than 6 patients survive at least 3 years (note: 3-year-survival is a binary outcome, and "success" is defined as survival).
A..0425
B..1662
C..0548
D..6331
32) Customers arrive at a bank teller's booth at a rate of 2 per minute.What is the probability (to four decimal places) that 3 customers will arrive at the bank teller's booth within the next minute (assume a Poisson distribution)?
A..6667
B..6723
C..1805
D.1.143
33) An insurance company has a call center that makes cold calls to individuals trying to sell life insurance.The probability of making a sale is 0.08. Assume binomial properties apply.If an individual in the center makes 25 calls, what is the probability they will make sales on more than 5 calls?
A.0.9569
B.0.1600
C.0.0123
D.0.9877
34) A student has not been to class and must pass a 25 question true/false exam to continue in the course. The student will guess on every question and must get at least 16 correct to pass the test.What is the probability that the student will pass the test?
A.0.1148
B.0.0739
C.0.9461
D.0.5000
Please use the following information to answer questions 39 and 40:
Customers arrive at a bakery at an average rate of 10 customers per hour. Arrivals are Poisson.
35) What is the probability that less than 6 customers will arrive in the next hour?
A.0.0378
B.0.0671
C.0.6000
D.0.1126
36) What is the probability that exactly 20 customers will arrive in the next 2 hours?
A.0.0019
B.0.1251
C.0.0888
D.0.5591
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