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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 42 weekdays, daily fees collected averaged $129, with standard deviation of $18. Complete parts a through e below. b) Find a 95% confidence interval for the mean daily income this parking garage will generate. The 95% confidence interval for the mean daily income is ($ ,$ (Round to two decimal places as needed.) Psychology experiments sometimes involve testing the ability of rats to navigate mazes. The mazes are classified according to difficulty, as measured by the mean length of time it takes rats to find the food at the end. One researcher needs a maze that will take rats an average of about one minute to solve. He tests one maze on several rats, collecting the accompanying data. Assume the data arose from a properly randomized experiment. Complete parts a through d below. Click the icon to view the data on maze times. a) Find a 90% confidence interval for the mean time to find food. The 90% confidence interval is () seconds. (Round to two decimal places as needed.) b) Plot the data. Are the conditions for inference satisfied? Explain. Choose the correct histogram below. A. Frequency NON PO Q 20 40 60 80 100 Time (sec) Choose the correct Normal probability plot below. A. Time (sec) 100- . .......... - Normal Scores Maze Times Time (sec) 38.6 47.2 66.4 38.0 61.1 31.8 50.7 36.5 50.9 57.9 54.9 53.7 52.9 50.9 42.0 41.2 96.3 48.9 71.7 49.7 52.7 Time (sec) B. C. Q Frequency NON, AD% Q Frequency 0 20 40 60 80 100 Time (sec) B. 100- 80 60- 40 20- n Normal Scores C. 20 40 60 80 Time (sec) Time (sec) 100- ............. Normal Scores 2 O D. Q Frequency NO NA % 20 40 60 80 100 Time (sec) O D. Time (sec) 100 80- 60- 40- 20- Normal Scores 2 O Time (sec) 100- 80- 60- 40- 20- -2 2 Normal Scores Are the conditions for inference satisfied? Time (sec) Psychology experiments sometimes involve testing the ability of rats to navigate mazes. The mazes are classified according to difficulty, as measured by the mean length of time it takes rats to find the food at the end. One researcher needs a maze that will take rats an average of about one minute to solve. He tests one maze on several rats, collecting the accompanying data. Assume the data arose from a properly randomized experiment. Complete parts a through d below. Click the icon to view the data on maze times. 100- 80- 60- 40- 201 -2 0 2 Normal Scores Time (sec) 100- 80- 60- 40- 20- -2 0 Normal Scores 2 Time (sec) 100- 80- 60- 40- 20 -2 0 Normal Scores 2 A. The Randomization Condition is met. The Normal probability plot is not roughly straight. The conditions do not seem to be met. The histogram is roughly unimodal and symmetric. B. The Randomization Condition is met. The Normal probability plot is relatively straight, with 1 outlier. Without the outlier, the conditions seem to be met. The histogram is roughly unimodal and symmetric with no other outliers. C. The Randomization Condition is met. The Normal probability plot is relatively straight, with 1 outlier. Without the outlier, the conditions seem to be met. The histogram is roughly bimodal and skewed right with no other outliers. D. The Randomization Condition is met. The Normal probability plot is not straight, with 1 outlier. Without the outlier, the conditions do not seem to be met. The histogram is roughly unimodal and skewed right with no other outliers. c) Eliminate the outlier and find the confidence interval again. The 90% confidence interval is ( ) seconds. (Round to two decimal places as needed.) d) Does this maze meet the requirement that the maze takes at least a minute to complete on average? Explain. A. The maze meets the "one-minute average" requirement. Both confidence intervals are entirely below a mean of 60 seconds. B. The maze does not meet the "one-minute average" requirement. Both confidence intervals contain a mean of 60 seconds. C. The maze does not meet the "one-minute average" requirement. Both confidence intervals are entirely below a mean of 60 seconds. D. The maze meets the "one-minute average" requirement. Both confidence intervals are entirely above a mean of 60 seconds. 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 $129, with standard deviation of $18. Complete parts a through e below. b) Find a 95% confidence interval for the mean daily income this parking garage will generate. The 95% confidence interval for the mean daily income is ($ ,$ (Round to two decimal places as needed.) Psychology experiments sometimes involve testing the ability of rats to navigate mazes. The mazes are classified according to difficulty, as measured by the mean length of time it takes rats to find the food at the end. One researcher needs a maze that will take rats an average of about one minute to solve. He tests one maze on several rats, collecting the accompanying data. Assume the data arose from a properly randomized experiment. Complete parts a through d below. Click the icon to view the data on maze times. a) Find a 90% confidence interval for the mean time to find food. The 90% confidence interval is () seconds. (Round to two decimal places as needed.) b) Plot the data. Are the conditions for inference satisfied? Explain. Choose the correct histogram below. A. Frequency NON PO Q 20 40 60 80 100 Time (sec) Choose the correct Normal probability plot below. A. Time (sec) 100- . .......... - Normal Scores Maze Times Time (sec) 38.6 47.2 66.4 38.0 61.1 31.8 50.7 36.5 50.9 57.9 54.9 53.7 52.9 50.9 42.0 41.2 96.3 48.9 71.7 49.7 52.7 Time (sec) B. C. Q Frequency NON, AD% Q Frequency 0 20 40 60 80 100 Time (sec) B. 100- 80 60- 40 20- n Normal Scores C. 20 40 60 80 Time (sec) Time (sec) 100- ............. Normal Scores 2 O D. Q Frequency NO NA % 20 40 60 80 100 Time (sec) O D. Time (sec) 100 80- 60- 40- 20- Normal Scores 2 O Time (sec) 100- 80- 60- 40- 20- -2 2 Normal Scores Are the conditions for inference satisfied? Time (sec) Psychology experiments sometimes involve testing the ability of rats to navigate mazes. The mazes are classified according to difficulty, as measured by the mean length of time it takes rats to find the food at the end. One researcher needs a maze that will take rats an average of about one minute to solve. He tests one maze on several rats, collecting the accompanying data. Assume the data arose from a properly randomized experiment. Complete parts a through d below. Click the icon to view the data on maze times. 100- 80- 60- 40- 201 -2 0 2 Normal Scores Time (sec) 100- 80- 60- 40- 20- -2 0 Normal Scores 2 Time (sec) 100- 80- 60- 40- 20 -2 0 Normal Scores 2 A. The Randomization Condition is met. The Normal probability plot is not roughly straight. The conditions do not seem to be met. The histogram is roughly unimodal and symmetric. B. The Randomization Condition is met. The Normal probability plot is relatively straight, with 1 outlier. Without the outlier, the conditions seem to be met. The histogram is roughly unimodal and symmetric with no other outliers. C. The Randomization Condition is met. The Normal probability plot is relatively straight, with 1 outlier. Without the outlier, the conditions seem to be met. The histogram is roughly bimodal and skewed right with no other outliers. D. The Randomization Condition is met. The Normal probability plot is not straight, with 1 outlier. Without the outlier, the conditions do not seem to be met. The histogram is roughly unimodal and skewed right with no other outliers. c) Eliminate the outlier and find the confidence interval again. The 90% confidence interval is ( ) seconds. (Round to two decimal places as needed.) d) Does this maze meet the requirement that the maze takes at least a minute to complete on average? Explain. A. The maze meets the "one-minute average" requirement. Both confidence intervals are entirely below a mean of 60 seconds. B. The maze does not meet the "one-minute average" requirement. Both confidence intervals contain a mean of 60 seconds. C. The maze does not meet the "one-minute average" requirement. Both confidence intervals are entirely below a mean of 60 seconds. D. The maze meets the "one-minute average" requirement. Both confidence intervals are entirely above a mean of 60 seconds.
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