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serious [3.7K]
4 years ago
5

A Bloomberg BusinessWeek North American subscriber study collected data from a sample of 2861 subscribers. Fifty-nine percent of

the respondents indicated an annual income of $75,000 or more, and 50% reported having an American Express credit card.1.What is the population of interest in this study?2.Is annual income a qualitative or quantitative variable?3.Is ownership of an American Express card a qualitative or quantitative variable?4.Does this study involve cross-sectional or time series data?5. Determine whether the following two statistical inferences may be made based on the sample data collected.
Mathematics
1 answer:
Sindrei [870]4 years ago
8 0

Answer:

1) For this case the population of interest is all the people suscribed to the Bloomberg Business Week North American.

2) For this case the income is a quantitative variable since is expressed in numbers and not with a nominal scale

3) That's a qualitative variable and on this case we can classify it as categorical since the possible values that takes are Yes or No.

4) Is a cross sectional study since the people is selected at some moment of the time and we don't have information through the time, for this reason we don't have a time series.

5) For this case we have these two important results:

Fifty-nine percent of the respondents indicated an annual income of $75,000 or more

And the other one is:

And 50% reported having an American Express credit card.

Step-by-step explanation:

1.What is the population of interest in this study?

For this case the population of interest is all the people suscribed to the Bloomberg Business Week North American.

2.Is annual income a qualitative or quantitative variable?

For this case the income is a quantitative variable since is expressed in numbers and not with a nominal scale

3.Is ownership of an American Express card a qualitative or quantitative variable?

That's a qualitative variable and on this case we can classify it as categorical since the possible values that takes are Yes or No.

4.Does this study involve cross-sectional or time series data?

Is a cross sectional study since the people is selected at some moment of the time and we don't have information through the time, for this reason we don't have a time series.

5. Determine whether the following two statistical inferences may be made based on the sample data collected.

For this case we have these two important results:

Fifty-nine percent of the respondents indicated an annual income of $75,000 or more

And the other one is:

And 50% reported having an American Express credit card.

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Rate = miles / time

8/t = 7/ 35

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8/t = 7/ 35

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Calculating the degrees of freedom, the sample variance, and the estimated standard error for evaluations using the t statistic
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df = n-1= 10-1=9

d.9

b) s^2 = \frac{SS}{n-1}= \frac{600}{41-1}= 15

a.15

c) For this case we have the sample size n = 25 and the sample variance is s^2 =400 , the standard error can founded with this formula:

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Step-by-step explanation:

Part a

For the first part we have a sample of n =10 and we want to find the degrees of freedom, and we can use the following formula:

df = n-1= 10-1=9

d.9

Part b

From a sample we know that n=41 and SS= 600, where SS represent the sum of quares given by:

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And the sample variance for this case can be calculated from this formula:

s^2 = \frac{SS}{n-1}= \frac{600}{41-1}= 15

a.15

Part c

For this case we have the sample size n = 25 and the sample variance is s^2 =400 , the standard error can founded with this formula:

SE = \frac{s^2}{\sqrt{n}}= \frac{400}{\sqrt{25}}= 80

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