07 Jan A survey found that

Week 1 homework

Question 1 . A polling company reported that 57?% of 1013 surveyed adults said that secondhand smoke is “very harmful.” Complete parts? (a) through? (d) below.

a. What is the exact value that is 57?% of 1013??

b. Could the result from part? (a) be the actual number of adults who said that secondhand smoke is “very harmful” question mark Why or why? not?

A.

?No, the result from part? (a) could not be the actual number of adults who said that secondhand smoke is “very harmful” because a count of people must result in a whole number.

B.

?No, the result from part? (a) could not be the actual number of adults who said that secondhand smoke is “very harmful” because that is a very rare opinion.

C.

?Yes, the result from part? (a) could be the actual number of adults who said that secondhand smoke is “very harmful” because the polling numbers are accurate.

D.

?Yes, the result from part? (a) could be the actual number of adults who said that secondhand smoke is “very harmful” because the results are statistically significant.

c. What could be the actual number of adults who said that secondhand smoke is “very harmful” ?

The actual number of adults with this opinion could be

d. Among the 1013 ?respondents, 110 said that secondhand smoke is “not at all harmful.” What percentage of respondents said that secondhand smoke is “not at all harmful” ?

Question2 Determine whether the given value is a statistic or a parameter.

A survey found that 91 % of all respondents were optimistic.

Choose the correct answer below.

A.

The value is a statistic because it is a numerical measurement describing some characteristic of a population.

B.

The value is a parameter because it is a numerical measurement describing some characteristic of a population.

C.

The value is a parameter because it is a numerical measurement describing some characteristic of a sample.

D.

The value is a statistic because it is a numerical measurement describing some characteristic of a sample.

Question 3 . Identify the level of measurement of the? data, and explain what is wrong with the given calculation.

In a set of? data, mood levels are represented as 100 for bad comma 200 for OK comma and 300 for good. The average? (mean) of the 682 mood levels is 231.2 .

The data are at the level of measurement.

What is wrong with the given? calculation?

A.

The true average is 195.4.

B.

Such data should not be used for calculations such as an average.

C.

One must use a different method to take the average of such data.

D.

There is nothing wrong with the given calculation.

Question 4 Identify the type of sampling used? (random, systematic,? convenience, stratified, or cluster? sampling) in the situation described below.

A woman is selected by a marketing company to participate in a paid focus group. The company says that the woman was selected because everyone in five randomly selected towns was being selected. nothing nothing

Which type of sampling did the marketing company? use?

Cluster sampling

Systematic sampling

Stratified sampling

Random sampling

Convenience sampling

Question 5 Determine whether the sample described below is a simple random sample.

According to an insurance salesman?, names of potential customers are selected from a variety of different sources. Names from the list are randomly selected in a way that is equivalent to writing the names on slips of? paper, mixing them in a? bowl, and selecting the required number of potential customers.

Does this sampling plan result in a simple random? sample?

A.

The sample is a simple random sample because each individual has the same chance of being selected.

B.

The sample is not a simple random sample because each individual does not have the same chance of being selected.

C.

The sample is not a simple random sample because every sample of the same size does not have the same chance of being selected.

D.

The sample is a simple random sample because every sample of the same size has the same chance of being selected.

Question 6 Listed below are the top 10 annual salaries? (in millions of? dollars) of TV personalities. Find the? (a) mean,? (b) median,? (c) mode, and? (d) midrange for the given sample data in millions of dollars. Given that these are the top 10? salaries, do we know anything about the salaries of TV personalities in? general? Are such top 10 lists valuable for gaining insight into the larger? population?

38.2???36.8???35.1???26.5???15.9???13.2???11.9???10.8???9.9???8.1

a. The mean is

?(Type an integer or a? decimal.)

b. The median is

?(Type an integer or a? decimal.)

c. Select the correct choice below and fill in any answer boxes in your choice.

A.

The mode is

nothing.

?(Use a comma to separate answers as? needed.)

B.

There is no mode.

d. The midrange is

?(Type an integer or a? decimal.)

Given that these are the top 10? salaries, do we know anything about the salaries of TV personalities in? general?

A.

Since the? mean, median, and midrange are relatively reliable even with small? samples, a lot of information is given on the salaries of TV personalities in general.

B.

Since the sample values give information about one segment of the salaries of TV? personalities, they give a lot of information about the salaries of TV personalities in general.

C.

Since the sample values are the 10? highest, they give almost no information about the salaries of TV personalities in general.

D.

Since the? mean, median, and midrange are based on a small? sample, no information is given on the salaries of TV personalities in general.

Are such top 10 lists valuable for gaining insight into the larger? population?

A.

?No, because such top 10 lists represent an extreme subset of the population rather than the larger population

B.

?Yes, because the? mean, median, and midrange are relatively reliable even with small samples

C.

?No, because the? mean, median, and midrange are based on a small sample

D.

?Yes, because such top 10 lists give partial information about the population

Question 7 Listed below are the errors between the predicted temperatures and actual temperatures of a certain city. Find the mean and median for each of the two samples. Do the means and medians indicate that the temperatures predicted one day in advance are more accurate than those predicted 5 days in? advance, as we might? expect?

left parenthesis actual high right parenthesis minus left parenthesis predicted high 1 day earlier right parenthesis

1

1

1

negative 1

negative 3

2

1

negative 1

1

2

left parenthesis actual high right parenthesis minus left parenthesis predicted high 5 days earlier right parenthesis

5

0

negative 1

0

0

0

0

0

negative 2

negative 5

The mean difference between actual high and the predicted high one day earlier is

?(Type an integer or decimal rounded to the nearest tenth as? needed.)

The median difference between actual high and the predicted high one day earlier is

?(Type an integer or decimal rounded to the nearest tenth as? needed.)

The mean difference between actual high and the predicted high five days earlier is

?(Type an integer or decimal rounded to the nearest tenth as? needed.)

The median difference between actual high and the predicted high five days earlier is

?(Type an integer or decimal rounded to the nearest tenth as? needed.)

Do the means and medians indicate that the temperatures predicted one day in advance are more accurate than those predicted 5 days in? advance, as we might? expect?

A.

?No, the means and medians do not indicate any substantial difference in accuracy.

B.

?No, the means and medians indicate that predictions made five days in advance are more accurate.

C.

?Yes, the means and medians indicate that predictions made one day in advance are more accurate.

Question 8 Listed below are the durations? (in hours) of a simple random sample of all flights of a space shuttle program. Find the? range, variance, and standard deviation for the sample data. Is the lowest duration time? unusual? Why or why? not?

74???98???235???194???166???260???200???376???260???234???383???331???220???246???0

The range of the sample data is

The variance of the sample data is

?(Round to one decimal place as? needed.)

The standard deviation of the sample data is

?(Round to one decimal place as? needed.)

Is the lowest duration time unusual?? Why or why? not?

A.

?No, because it is within two standard deviations of the mean.

B.

?Yes, because the lowest value in a data set is usually an outlier.

C.

?No, because the sample is random.

D.

?Yes, because it is more than two standard deviations below the mean.

Question 9 One of the tallest living men has a height of 272 cm. One of the tallest living women is 264 cm tall. Heights of men have a mean of 175 cm and a standard deviation of 9 cm. Heights of women have a mean of 165 cm and a standard deviation of 6 cm. Relative to the population of the same? gender, who is? taller? Explain.

Choose the correct answer below.

A.

The woman is relatively taller because the z score for her height is less than the z score for the man?’s height.

B.

The woman is relatively taller because the z score for her height is greater than the z score for the man?’s height

C.

The man is relatively taller because the z score for his height is greater than the z score for the woman?’s height.

D.

The man is relatively taller because the z score for his height is less than the z score for the woman?’s height.

Question 10. Below are 36 sorted ages of an acting award winner. Find the percentile corresponding to age 60 using the method presented in the textbook.

16

17

17

18

18

19

19

23

24

24

26

28

28

32

38

39

40

40

45

46

49

56

56

59

60

62

63

63

68

71

72

72

74

76

76

77

percentile of value 60 = ?(Round to the nearest integer as? needed.)