STATISTICS- Can Someone help Answer these questions ASAP please?
G101929
QUESTIONSSTATISTICS.doc1. What is a population, what is a sample, and what is the difference between them?
What is a population?
A.
A population is a characteristic found by summarizing raw data.
B.
A population is a portion of the entities of interest to a researcher that the researcher uses to gather data.
C.
A population is the set of entities that are not contained in a sample.
D.
A population is the range of values that a parameter is likely to take.
E.
A population is the entire group of entities of interest to a researcher.
What is a sample?
A.
A sample is the entire group of entities of interest to a researcher.
B.
A sample is a portion of the entities of interest that the researcher uses to gather data.
C.
A sample is the range of values that a parameter is likely to take.
D.
A sample is the set of entities that are not contained in a population.
E.
A sample is a characteristic found by summarizing raw data.
What is the difference between a population and a sample?
A.
If an entity is in the sample then it cannot be in the population.
B.
A sample is only a part of a complete population.
C.
If an entity is in the population then it cannot be in the sample.
D.
A population is only a part of a complete sample.
E.
There is no difference. A population and a sample are the same thing.
2. A nine-year-old tested professional touch therapists. Using a cardboard partition, she held a hand above one of the therapist's hands, and the therapist was asked to identify the hand that was chosen.What type of study is this? What are the variables of interest?Choose the correct answer below.
A.
Experiment. The variable of interest is which hand is chosen by the therapist for each trial.
B.
Experiment. The variable of interest is the result of either correct or incorrect for each trial.
C.
Observational study. The variable of interest is which hand is chosen by the therapist for each trial.
D.
Observational study. The variable of interest is the result of either correct or incorrect for each trial.
3. Determine whether the statement is based on census data or sample data.A researcher determines that 42.7% of all downtown office buildings have ventilation problems.
Census data
Sample data
4. State whether the actual data are discrete or continuous, and explain why.The number of stories for all the skyscrapers in a particular city.
Continuous, because the numbers can have any value within some range of values.
Discrete, because only counting numbers are used, and no values between the counting numbers are possible.
5. Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate.Ages of survey respondents.
A.
Nominal
B.
Ordinal
C.
Interval
D.
Ratio
6. A person is always late for class. Identify the potential error as random or systematic.
Random
Systematic
7. The size of an e-mail file is stated as 210 kB, but the file size is actually 220.5 kB. What is the absolute error?
A.
minus−5%
B.
minus−10.5
kB
C.
5 kB
D.
10%
8. The enrollment of the district was 11471147 last year and is 1479 this year. Calculate the relative percentage change, rounded to the nearest percent.
A.
22%
B.
29%
C.
78%
D.
129%
9. A car insurance company conducted a survey to find out how many car accidents people had been involved in. They selected a sample of 32 adults between the ages of 30 and 70 and asked each person how many accidents they had been involved in in the past ten years. These data were obtained. Create a frequency table for the number of car accidents.
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1 |
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1 |
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A. Frequency 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 3 3 3 4 4 5
B. Number of Accidents Frequency 1 10 2 5 3 3 4 2 5 1
C. Number of Accidents Frequency 0 11 1 10 2 5 3 3 4 2 5 1
D. Number of Accidents Frequency 0 12 1 9 2 5 3 3 4 2 5 1
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10. The following data give the distribution of the types of houses in a town containing The weights of 22 members of the varsity football team are listed below.Start 2 By 11 Matrix 1st Row 1st Column 144 2nd Column 152 3rd Column 142 4st Column 151 5st Column 160 6st Column 152 7st Column 131 8st Column 164 9st Column 141 10st Column 153 11st Column 140 2nd Row 1st Column 144 2nd Column 175 3rd Column 156 4st Column 147 5st Column 133 6st Column 172 7st Column 159 8st Column 135 9st Column 159 10st Column 148 11st Column 171 EndMatrix
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144 |
152 |
142 |
151 |
160 |
152 |
131 |
164 |
141 |
153 |
140 |
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144 |
175 |
156 |
147 |
133 |
172 |
159 |
135 |
159 |
148 |
171 |
Use the data to construct a stem-and-leaf plot.
A.
Start 5 By 2 Table 1st Row 1st Column 13 2nd Column 1 3 5 2nd Row 1st Column 14 2nd Column 0 1 2 4 4 7 8 3rd Row 1st Column 15 2nd Column 1 2 2 3 6 9 9 4st Row 1st Column 16 2nd Column 0 4 5st Row 1st Column 17 2nd Column 1 2 5 EndTable
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1 3 5 |
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14 |
0 1 2 4 4 7 8 |
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15 |
1 2 2 3 6 9 9 |
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16 |
0 4 |
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17 |
1 2 5 |
B.
Start 5 By 2 Table 1st Row 1st Column 13 2nd Column 1 3 5 2nd Row 1st Column 14 2nd Column 0 1 2 4 4 7 8 3rd Row 1st Column 15 2nd Column 1 2 2 3 6 9 4st Row 1st Column 16 2nd Column 0 4 5st Row 1st Column 17 2nd Column 1 2 5 EndTable
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13 |
1 3 5 |
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14 |
0 1 2 4 4 7 8 |
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15 |
1 2 2 3 6 9 |
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16 |
0 4 |
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17 |
1 2 5 |
C.
Start 5 By 2 Table 1st Row 1st Column 13 2nd Column 1 3 5 2nd Row 1st Column 14 2nd Column 1 2 2 3 6 9 9 3rd Row 1st Column 15 2nd Column 0 1 2 4 4 7 8 4st Row 1st Column 16 2nd Column 0 4 5st Row 1st Column 17 2nd Column 1 2 5 EndTable
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13 |
1 3 5 |
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14 |
1 2 2 3 6 9 9 |
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15 |
0 1 2 4 4 7 8 |
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16 |
0 4 |
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17 |
1 2 5 |
D.
Start 5 By 2 Table 1st Row 1st Column 13 2nd Column 1 3 5 2nd Row 1st Column 14 2nd Column 0 1 2 4 7 8 3rd Row 1st Column 15 2nd Column 1 2 3 6 9 4st Row 1st Column 16 2nd Column 0 4 5st Row 1st Column 17 2nd Column 1 2 5 EndTable
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13 |
1 3 5 |
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14 |
0 1 2 4 7 8 |
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15 |
1 2 3 6 9 |
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16 |
0 4 |
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17 |
1 2 5 |
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11. Frank's Furniture employees earned $232.08232.08, $486.95486.95, $ 500.21, $500.21, $342.94,$473.63,and $ 497.39 last week. Find the mean wage of the employees rounded to the nearest cent.
A.
$494.64494.64
B.
$506.64506.64
C.
$422.20422.20
D.
$633.30
12. Find the median for the given sample data. 7, 10,13, 21, 30, 30, 49
A.
25.5
B.
21
C.
30
D.
13
13. Find the mode(s) for the given sample data. 94, 25, 94, 13, 25, 29, 56, 94
A.
94
B.
42.5
C.
53.8
D.
25
14. Identify the distribution as symmetric, left-skewed, or right-skewed.Shoe sizes of adult women
A.
Right-skewed
B.
Left-skewed
C.
Symmetric
15. Find the standard deviation for the given data. Round your answer to one more decimal place than the original data. 12, 16, 13, 17, 18, 14, 12, 18, 15
A.
2.32.3
B.
2.42.4
C.
2.62.6
D.
1.91.9
16. Obtain the five-number summary for the given data.The normal annual precipitation (in inches) is given below for 21 different U.S. cities.
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Start 3 By 7 Matrix 1st Row 1st Column 39.1 2nd Column 30.3 3rd Column 18.5 4st Column 33.7 5st Column 27.1 6st Column 27.8 7st Column 8.6 2nd Row 1st Column 23.8 2nd Column 42.6 3rd Column 31 4st Column 20.7 5st Column 12.0 6st Column 5.1 7st Column 13.1 3rd Row 1st Column 22.4 2nd Column 10.9 3rd Column 15.9 4st Column 25.4 5st Column 17.2 6st Column 15.2 7st Column 51.7 EndMatrix 39.1 30.3 18.5 33.7 27.1 27.8 8.6 23.8 42.6 31 20.7 12.0 5.1 13.1 22.4 10.9 15.9 25.4 17.2 15.2 51.7
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A.
lowequals=5.1, lower quartileequals=13.62513.625, medianequals=21.5521.55, upper quartileequals=29.67529.675, highequals=51.7
B.
lowequals=5.1, lower quartileequals=14.1514.15, medianequals=21.5521.55,
upper quartileequals=30.6530.65, highequals=51.7
C.
lowequals=5.1, lower quartileequals=14.1514.15, medianequals=22.422.4,
upper quartileequals=30.6530.65, highequals=51.7
D.
lowequals=5.1, lower quartileequals=13.62513.625, medianequals=22.422.4,
upper quartileequals=29.67529.675, highequals=51.7
17. Apply the 68-95-99.7 rule to answer the question.The lifetimes of light bulbs of a particular type are normally distributed with a mean of 280280 hours and a standard deviation of 99 hours. What percentage of the bulbs have lifetimes that lie within 2 standard deviations to either side of the mean?
A.
68%
B.
95%
C.
99.7%
D.
98%
18. Find the indicated percentage for the normally distributed variable. Round your answer to two decimal places, if necessary.The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What is the probability that a human pregnancy lasts at least 295 days? Round to two decimal places.
A.
96.4196.41%
B.
3.953.95%
C.
68.0068.00%
D.
3.593.59%
19. A die with 88 sides is rolled. What is the probability of rolling a number less than 77?
A.
three fourths34
B.
one eighth18
C.
seven eighths78
D.
6
20. Use the relative frequency method to estimate the probability. Round to three decimal places. A polling firm, hired to estimate the likelihood of the passage of an up-coming referendum, obtained the set of survey responses to make its estimate. The encoding system for the data is: 0 equals FOR comma0=FOR, 1 equals AGAINST.1=AGAINST. If the referendum were held today, estimate the probability that it would pass. 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0
A.
0.65
B.
0.5
C.
0.4
D.
0.6
21. Suppose you pay $33.00 to roll a fair die with the understanding that you will get back $55 for rolling a 33 or a 66, nothing otherwise. What is your expected value of your gain or loss, rounded to the nearest cent?
A.
$ 5$5
B.
minus−$ 3$3.00
C.
negative $ 1.33−$1.33
D.
$ 3$3.00
22. State whether the two variables are positively correlated, negatively correlated, or not correlated.The price of a textbook and how well it is written
A.
Positively correlated
B.
Negatively correlated
C.
Not correlated
23. There are 13,496 eligible voters in one town. In a poll of 830 eligible voters from this town, 387 say that they plan to vote in the next mayoral election. Based on this sample statistic, estimate the number of eligible voters in this town who will not vote in the next mayoral election.
A.
443443
B.
6 comma 2936,293
C.
0.530.53
D.
7 comma 203
24. A sample of size 50 drawn from a large population has a sample mean of 0.65. The margin of error for the 95% confidence interval for the population mean is 0.03. What is the 95% confidence interval for the population mean? Round to two decimal places as needed.
A.
0.590.59 <μ<0.71
B.
0.62<μ<0.68
C.
49.97 <μ <50.03
D.
0.65<μ<0.68
25. Find an estimate of the sample size needed to obtain a margin of error of 0.3 for the 95% confidence interval of a population mean, given a sample standard deviation of 12.
Do not round until the final answer.
A.
1,920
B.
3,200
C.
6,400
D.
80
26. A medical researcher wishes to estimate what proportion of babies born at a particular hospital are born by Caesarean section. In a random sample of 64 births at the hospital, 31% were Caesarean sections. Find the 95% confidence interval for the population proportion. Round to four decimal places.
A.
negative 0.0436−0.0436less than<pless than<0.66360.6636
B.
0.29550.2955less than<pless than<0.32450.3245
C.
0.19440.1944less than<pless than<0.42560.4256
D.
0.22820.2282less than<pless than<0.39180.3918
27. A car company claims that its new sedan will have a mean gas mileage greater than 29miles per gallon in the city. Formulate the null and alternative hypotheses for a hypothesis test.
A.
H0: μ=29mpg
Ha: μ<29 mpg
B.
H0: μ=29mpg
Ha: μ>29 mpg
C.
H0: μ<29mpg
Ha: μ=29mpg
D.
H0: μ >29 mpg
Ha: μ=29 mpg
28. The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a mean temperature of 50°F, ideal for a certain type of German pilsner. The owner of the brewery does not agree with the refrigeratormanufacturer, and claims he can prove that the mean temperature of the refrigerators is different from 50°F. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.
A.
There is sufficient sample evidence to support the claim that the mean temperature of the refrigerators is equal to 50 degrees Upper F50°F.
B.
There is not sufficient sample evidence to support the claim that the mean temperature of the refrigerators is equal to 50 degrees Upper F50°F.
C.
There is sufficient sample evidence to support the claim that the mean temperature of the refrigerators is different from 50 degrees Upper F50°F.
D.
There is not sufficient sample evidence to support the claim that the mean temperature of the refrigerators is different from 50 degrees Upper F50°F.
29. A manufacturer claims that the mean amount of juice in its 16 dash ounce16-ounce bottles is 16.1 ounces. A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this. The hypotheses are shown below. Identify the Type I error.
H0: μ=16.1 ounces
Ha: μ<16.1 ounces
A.
Fail to reject the claim that mean amount is 16.1 ounces when in fact the mean amount is 16.1 ounces.
B.
Reject the claim that mean amount is 16.1 ounces when in fact the mean amount is 16.1 ounces.
C.
Reject the claim that mean amount is 16.1 ounces when in fact the mean amount is less than 16.1 ounces.16.1 ounces.
D.
Fail to reject the claim that mean amount is 16.1 ounces when in fact the mean amount is less than 16.1 ounces.
