Hoping to lure more shoppers​ downtown, a city builds a new public parking garage in the central business district. The city plans to pay for the structure through parking fees. For a random sample of 43 ​weekdays, daily fees collected averaged ​$128​, with standard deviation of ​$13. Complete parts 1 through 5 below. ​1) What assumptions must you make in order to use these statistics for​ inference?   Select all that apply.   A. The data are a random sample of all days.   B. The sample size is at least​ 10% of the population.   C. The data values should be dependent.   D. The distribution is unimodal and symmetric with no outliers.   2) Find a 95​% confidence interval for the mean daily income this parking garage will generate. The 95​% confidence interval for the mean daily income is ​($____,$____​).     3) Explain in context what this confidence interval means. Choose the correct answer below.     A. There is 95​% confidence that the daily income for all weekdays falls in the interval.   B. There is 95​% confidence that the interval contains the mean daily income.   C. There is 95​%confidence that the mean daily income will always fall in the interval.   D. There is 95​% confidence that the daily income for a weekday falls in the interval.   ​4) Explain what 95​% confidence means in this context. Choose the correct answer below.   A. 95​% of all weekdays have daily incomes that fall in the interval.   B. 95​% of all samples of size 43 produce intervals that contain the mean daily income.   C. 95​% of all weekdays sampled have daily incomes that fall in the interval.   D. 95​% of all samples of size 43 have a mean daily income that is in the interval. 5) The consultant who advised the city on this project predicted that parking revenues would average ​$135 per day. Based on your confidence​ interval, what do you think of the​ consultant's prediction?​ Why?   Since the 95​% confidence interval ▼(contains or does not contain)▼ the predicted​ average, the​ consultant's prediction is▼ (not plausible or plausible) ▼

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Hoping to lure more shoppers​ downtown, a city builds a new public parking garage in the central business district. The city plans to pay for the structure through parking fees. For a random sample of 43 ​weekdays, daily fees collected averaged ​$128​, with standard deviation of ​$13. Complete parts 1 through 5 below.

​1) What assumptions must you make in order to use these statistics for​ inference?
 
Select all that apply.
 
A. The data are a random sample of all days.
 
B. The sample size is at least​ 10% of the population.
 
C. The data values should be dependent.
 
D. The distribution is unimodal and symmetric with no outliers.
 
2) Find a 95​% confidence interval for the mean daily income this parking garage will generate.
The 95​% confidence interval for the mean daily income is ​($____,$____​).
 
 
3) Explain in context what this confidence interval means.
Choose the correct answer below.
 
 
A. There is 95​% confidence that the daily income for all weekdays falls in the interval.
 
B. There is 95​% confidence that the interval contains the mean daily income.
 
C. There is 95​%confidence that the mean daily income will always fall in the interval.
 
D. There is 95​% confidence that the daily income for a weekday falls in the interval.
 
​4) Explain what 95​% confidence means in this context.
Choose the correct answer below.
 
A. 95​% of all weekdays have daily incomes that fall in the interval.
 
B. 95​% of all samples of size 43 produce intervals that contain the mean daily income.
 
C. 95​% of all weekdays sampled have daily incomes that fall in the interval.
 
D. 95​% of all samples of size 43 have a mean daily income that is in the interval.

5) The consultant who advised the city on this project predicted that parking revenues would average
​$135 per day. Based on your confidence​ interval, what do you think of the​ consultant's prediction?​ Why?
 
Since the 95​% confidence interval ▼(contains or does not contain)▼ the predicted​ average, the​ consultant's prediction is▼ (not plausible or plausible) ▼
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