1. You work at a bank and are asked to recommend the amount of cash to put in an ATM each day. You don't want to put in too much (security) or too little (customer irritation). Here are the daily withdrawals (in 1000's of dollars) for a period of 30 days.
61 67 70 72 73 74 76 76 76 78
80 80 81 81 82 82 82 83 84 84
85 86 86 88 89 91 92 97 98 104
On your paper create a histogram or split stem plot for this set of data using $5,000 intervals (scale of 5), starting with $60,000 (60). State the range of values for the interval containing the highest frequency and the frequency.
2.
You work at a bank and are asked to recommend the amount of cash to put in an ATM each day. You don't want to put in too much (security) or too little (customer irritation). Here are the daily withdrawals (in 1000's of dollars) for a period of 30 days.
61 67 70 72 73 74 76 76 76 78
80 80 81 81 82 82 82 83 84 84
85 86 86 88 89 91 92 97 98 104
3.
You work at a bank and are asked to recommend the amount of cash to put in an ATM each day. You don't want to put in too much (security) or too little (customer irritation). Here are the daily withdrawals (in 1000's of dollars) for a period of 30 days.
61 67 70 72 73 74 76 76 76 78
80 80 81 81 82 82 82 83 84 84
85 86 86 88 89 91 92 97 98 104
Is the shape of the distribution best described as: symmetric, left skewed, or right skewed?
4.
You work at a bank and are asked to recommend the amount of cash to put in an ATM each day. You don't want to put in too much (security) or too little (customer irritation). Here are the daily withdrawals (in 1000's of dollars) for a period of 30 days.
61 67 70 72 73 74 76 76 76 78
80 80 81 81 82 82 82 83 84 84
85 86 86 88 89 91 92 97 98 104
5.
You work at a bank and are asked to recommend the amount of cash to put in an ATM each day. You don't want to put in too much (security) or too little (customer irritation). Here are the daily withdrawals (in 1000's of dollars) for a period of 30 days.
61 67 70 72 73 74 76 76 76 78
80 80 81 81 82 82 82 83 84 84
85 86 86 88 89 91 92 97 98 104
Calculate the mean and standard deviation for this set of data. Convert your answer back to dollars and cents
6.
You work at a bank and are asked to recommend the amount of cash to put in an ATM each day. You don't want to put in too much (security) or too little (customer irritation). Here are the daily withdrawals (in 1000's of dollars) for a period of 30 days.
61 67 70 72 73 74 76 76 76 78
80 80 81 81 82 82 82 83 84 84
85 86 86 88 89 91 92 97 98 104
Which is a better choice for describing this data set, "five-number summary" or "mean and standard deviation"?
7.
The distribution of ACT scores is normal with a mean of 20.9 and standard deviation of 4.8. N(20.9,4.8)
Find the probability that a student will score 30 or higher on the ACT.
8.
The distribution of ACT scores is normal with a mean of 20.9 and standard deviation of 4.8. N(20.9,4.8)
|
The proportion of students who score between 21 and 23 is:
|
9.
The distribution of ACT scores is normal with a mean of 20.9 and standard deviation of 4.8. N(20.9,4.8)
A prestigious university offers a full-ride scholarship to students who score in the top 1%. What score would a student need in order to receive this scholarship?
10.
The distribution of ACT scores is normal with a mean of 20.9 and standard deviation of 4.8. N(20.9,4.8)
What score will place a student at the 75th percentile?
11:
Bonus: What is the common term for this value?
12:
How well does the number of beers a student drinks predict his/her blood alcohol content? A study was conducted at Ohio State University in which 10 students drank a randomly assigned number of cans of beer. Thirty minutes later, a police officer measured their blood alcohol content (BAC). The students were equally divided between men and women and differed in weight and usual drinking habits. Here is the data:
Beers 5 2 9 8 3 7 6 5 1 4
BAC .10 .03 .19 .12 .04 .09 .10 .06 .01 .05
Here is a repeat of the data in ordered pairs form, just in case the table did not print well.
(5, .10); (2, .03); (9, .19); (8, .12); (3, .04);
(7, .09); (6, .10); (5, .06); (1, .01); (4, .05)
Make a scatterplot on your calculator showing number of beers against blood alcohol content to use for the following questions.
Generally, we think there are many factors other than the number of beers consumed that will contribute to an increase or decrease in blood alcohol content.
Give the statistical term given for these other factors and name 1 factor that you think will influence BAC.
13:
How well does the number of beers a student drinks predict his/her blood alcohol content? A study was conducted at Ohio State University in which 10 students drank a randomly assigned number of cans of beer. Thirty minutes later, a police officer measured their blood alcohol content (BAC). The students were equally divided between men and women and differed in weight and usual drinking habits. Here is the data:
Beers 5 2 9 8 3 7 6 5 1 4
BAC .10 .03 .19 .12 .04 .09 .10 .06 .01 .05
Here is a repeat of the data in ordered pairs form, just in case the table did not print well.
(5, .10); (2, .03); (9, .19); (8, .12); (3, .04);
(7, .09); (6, .10); (5, .06); (1, .01); (4, .05)
Make a scatterplot on your calculator showing number of beers against blood alcohol content to use for the following questions.
Does BAC generally increase or decrease as number of beers consumed increases? Describe the overall form, direction, and strength that you saw in this scatterplot.
Form: (cloud, line, curve, other)
Direction: (negative, positive, neither)
Strength: (very strong, moderately strong, moderately weak, very weak)
14:
How well does the number of beers a student drinks predict his/her blood alcohol content? A study was conducted at Ohio State University in which 10 students drank a randomly assigned number of cans of beer. Thirty minutes later, a police officer measured their blood alcohol content (BAC). The students were equally divided between men and women and differed in weight and usual drinking habits. Here is the data:
Beers 5 2 9 8 3 7 6 5 1 4
BAC .10 .03 .19 .12 .04 .09 .10 .06 .01 .05
Here is a repeat of the data in ordered pairs form, just in case the table did not print well.
(5, .10); (2, .03); (9, .19); (8, .12); (3, .04);
(7, .09); (6, .10); (5, .06); (1, .01); (4, .05)
Make a scatterplot on your calculator showing number of beers against blood alcohol content to use for the following questions.
Give the correlation value between number of beers consumed and BAC?
15:
How well does the number of beers a student drinks predict his/her blood alcohol content? A study was conducted at Ohio State University in which 10 students drank a randomly assigned number of cans of beer. Thirty minutes later, a police officer measured their blood alcohol content (BAC). The students were equally divided between men and women and differed in weight and usual drinking habits. Here is the data:
Beers 5 2 9 8 3 7 6 5 1 4
BAC .10 .03 .19 .12 .04 .09 .10 .06 .01 .05
Here is a repeat of the data in ordered pairs form, just in case the table did not print well.
(5, .10); (2, .03); (9, .19); (8, .12); (3, .04);
(7, .09); (6, .10); (5, .06); (1, .01); (4, .05)
Make a scatterplot on your calculator showing number of beers against blood alcohol content to use for the following questions.
What is the coefficient of determination, r2?
16:
Bonus: Give an explanation of what this value means in terms of BAC and number of beers consumed.
17.
How well does the number of beers a student drinks predict his/her blood alcohol content? A study was conducted at Ohio State University in which 10 students drank a randomly assigned number of cans of beer. Thirty minutes later, a police officer measured their blood alcohol content (BAC). The students were equally divided between men and women and differed in weight and usual drinking habits. Here is the data:
Beers 5 2 9 8 3 7 6 5 1 4
BAC .10 .03 .19 .12 .04 .09 .10 .06 .01 .05
Here is a repeat of the data in ordered pairs form, just in case the table did not print well.
(5, .10); (2, .03); (9, .19); (8, .12); (3, .04);
(7, .09); (6, .10); (5, .06); (1, .01); (4, .05)
Make a scatterplot on your calculator showing number of beers against blood alcohol content to use for the following questions.
State the equation of least squares regression line for predicting BAC from number of beers consumed in
y = a + bx form.
18.
How well does the number of beers a student drinks predict his/her blood alcohol content? A study was conducted at Ohio State University in which 10 students drank a randomly assigned number of cans of beer. Thirty minutes later, a police officer measured their blood alcohol content (BAC). The students were equally divided between men and women and differed in weight and usual drinking habits. Here is the data:
Beers 5 2 9 8 3 7 6 5 1 4
BAC .10 .03 .19 .12 .04 .09 .10 .06 .01 .05
Here is a repeat of the data in ordered pairs form, just in case the table did not print well.
(5, .10); (2, .03); (9, .19); (8, .12); (3, .04);
(7, .09); (6, .10); (5, .06); (1, .01); (4, .05)
Make a scatterplot on your calculator showing number of beers against blood alcohol content to use for the following questions.
Give an explanation for the meaning of the slope of the regression line as it relates to number of beers consumed and BAC.
19.
How well does the number of beers a student drinks predict his/her blood alcohol content? A study was conducted at Ohio State University in which 10 students drank a randomly assigned number of cans of beer. Thirty minutes later, a police officer measured their blood alcohol content (BAC). The students were equally divided between men and women and differed in weight and usual drinking habits. Here is the data:
Beers 5 2 9 8 3 7 6 5 1 4
BAC .10 .03 .19 .12 .04 .09 .10 .06 .01 .05
Here is a repeat of the data in ordered pairs form, just in case the table did not print well.
(5, .10); (2, .03); (9, .19); (8, .12); (3, .04);
(7, .09); (6, .10); (5, .06); (1, .01); (4, .05)
Make a scatterplot on your calculator showing number of beers against blood alcohol content to use for the following questions.
Predict the BAC for the average person who consumes 5 beers.
20.
Bonus: Why is it important to "predict" BAC using the regression line, rather than use actual data from the experiment?
21.
How well does the number of beers a student drinks predict his/her blood alcohol content? A study was conducted at Ohio State University in which 10 students drank a randomly assigned number of cans of beer. Thirty minutes later, a police officer measured their blood alcohol content (BAC). The students were equally divided between men and women and differed in weight and usual drinking habits. Here is the data:
Beers 5 2 9 8 3 7 6 5 1 4
BAC .10 .03 .19 .12 .04 .09 .10 .06 .01 .05
Here is a repeat of the data in ordered pairs form, just in case the table did not print well.
(5, .10); (2, .03); (9, .19); (8, .12); (3, .04);
(7, .09); (6, .10); (5, .06); (1, .01); (4, .05)
Make a scatterplot on your calculator showing number of beers against blood alcohol content to use for the following questions.
Explain why it would not be a good idea to use this regression line to predict BAC for consumption of 20 beers.
22.
Bonus: Give the statistical term for this prediction.