Hoping to lure more shoppers downtown, a city builds a new public parking garage
ID: 3048212 • Letter: H
Question
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 42 weekdays, daily fees collected averaged S133, with standard deviation of S16. Complete parts a through e below. a) What assumptions must you make in order to use these statistics for inference? Select all that apply. A. The distribution is unimodal and symmetric with no outliers. B. The sample size is at least 10% of the population. C. The data values should be dependent. D. The data are a random sample of all days. b) Find a 90% confidence interval for the mean daily income this parking garage will generate The 90% confidence interval for the mean daily income is (sDsD Round to two decimal places as needed.) c) Explain in context what this confidence interval means. Choose the correct answer below. 0 A. There is 90% confidence that the mean daily income will always fall in the interval. 0 B. There is 90% confidence that the daily income for a weekday falls in the interval. ° C. There is 90% confidence that the interval contains the mean daily income. D. There is 90% confidence that the daily income for all weekdays falls in the interval. d) Explain what 90% confidence means in this context. Choose the correct answer below. 0 A. 90% of all weekdays have daily incomes that fall in the interval. O B. 90% of all samples of size 42 have a mean daily income that is in the interval. ° C. 90% of all weekdays sampled have daily incomes that fall in the interval. D. 90% of all samples of size 42 produce intervals that contain the mean daily income e) The consultant who advised the city on this project predicted that parking revenues would average $130 per day. Based on your confidence interval, what do you think of the consultant's prediction? Why? Since the 90% confidence interval | the predicted average, the consultant's prediction is does not contain containsExplanation / Answer
a) The condition is that data observations must be random samples.
So the correct option is - D) The data are a random samples of all days
b) 90% confidence interval for mean daily income is ( $128.85 , $137.15)
c)
Since the mean daily income 133 falls in the interval so The correct option is C) there is 90% confidence that the interval contains mean daily income.
d) The correct option is B) 90% of all samples of size 42 have a mean daily income that is in interval.
e) Since the 90% confidence interval contains the predicted average , the consulatnts prediction is true.
a) critical value of 90% confidence interval with 13 df is 1.77
b) critical value of 99% confidence interval with 62 df is 2.66
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