A particular school district is concerned about the percentage of high schoolers who vape. In a random sample of 1478 high schoolers taken last year, 61 of them indicated on the anonymous survey that they vape. This year, the survey was given again and out of 1482 high schoolers, 181 of them indicated on the survey that they vape. Is there evidence that the vaping rate is now higher?
a) Test at the 5%
level
b) Compute a 90% confidence interval for the difference in
proportions.
In: Statistics and Probability
Personal Budget
At the beginning of the school year, Craig Kovar decided to prepare a cash budget for the months of September, October, November, and December. The budget must plan for enough cash on December 31 to pay the spring semester tuition, which is the same as the fall tuition. The following information relates to the budget:
| Cash balance, September 1 (from a summer job) | $8,240 |
| Purchase season football tickets in September | 110 |
| Additional entertainment for each month | 290 |
| Pay fall semester tuition in September | 4,400 |
| Pay rent at the beginning of each month | 400 |
| Pay for food each month | 220 |
| Pay apartment deposit on September 2 (to be returned December 15) | 600 |
| Part-time job earnings each month (net of taxes) | 1,020 |
a. Prepare a cash budget for September, October, November, and December. Use the minus sign to indicate cash outflows, a decrease in cash or cash payments.
| Craig Kovar | ||||
| Cash Budget | ||||
| For the Four Months Ending December 31 | ||||
| September | October | November | December | |
| Estimated cash receipts from: | ||||
| Part-time job | $ | $ | $ | $ |
| Deposit | ||||
| Total cash receipts | $ | $ | $ | $ |
| Less estimated cash payments for: | ||||
| Season football tickets | $ | |||
| Additional entertainment | $ | $ | $ | |
| Tuition | ||||
| Rent | ||||
| Food | ||||
| Deposit | ||||
| Total cash payments | $ | $ | $ | $ |
| Cash increase (decrease) | $ | $ | $ | $ |
| Plus cash balance at beginning of month | ||||
| Cash balance at end of month | $ | $ | $ | $ |
b. What are the budget implications for Craig Kovar?
Craig can see that his present plan will not provide sufficient cash. If Craig did not budget but went ahead with the original plan, he would be $__________ short at the end of December, with no time left to adjust.
In: Accounting
Shira is a senior in high school and is struggling with her swim times. She goes to every practice offered, works hard, listens to her coaches, and makes the appropriate adjustments, yet she is making no improvements, meet after meet. For two years, Shira has been struggling with her times and continues to get frustrated. Before her meets, she is anxious, and after her meets, she beats herself up over her performances. Create a goal and explain how you will help Shira obtain it through practice and feedback schedules. Be very specific about practice and feedback schedules, and include a rationale for each based upon motor learning principles.
In: Economics
You are looking to take out a $53 ,000 loan to pay for school. The loan would be a five-year loan. The lender offers you a 8 % interest rate on the loan and also offers to structure it in one of three ways: a) As a discount loan b) As an interest-only loan c) As an amortized loan. Rounded to the nearest whole dollar, what will be your balance at the end of year 1 if you take the loan as a: a) discount loan? nothing b) interest-only loan? nothing c) amortized loan? nothing Which of these loans will collect the lowest amount of interest over the life of loan? A. amortized loan B. interest-only loan C. discount loan
In: Finance
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.3 years with a standard deviation of 1.2 years.
Step 2 of 2 :
If a sampling distribution is created using samples of the ages at which 36 children begin reading, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.
In: Statistics and Probability
One of your older friends is a student advisor to seniors at the UW’s Foster School of Business. She has determined the probability a student registers for a quantitative course (i.e., fin, acct) equals 0.37. She has also determined the probability a student registers for a qualitative course (i.e., mgmt, mktg) equals 0.61, and the probability a student registers for a qualitative course, given that she has already registered for a quantitative course, equals 0.82.(SHOW WORK;Round to 4 decimal places)
a)
Determine the probability a student registers for both quantitative and a qualitative course.
b)
Determine the probability a student registers for either quantitative or qualitative course.
c)
Determine the probability a student registers for a quantitative course, given she has registered for a qualitative course
d)
Determine the probability a student registers for a qualitative course, given she did NOT register for a quantitative course.
e)
Are the two events, registering for a quantitative course and registering for a qualitative course,mutually exclusive?
f)
Are the two events, registering for a quantitative course and registering for a qualitative course, statistically independent?
In: Statistics and Probability
The scores on the verbal section of a certain graduate school entrance exam have a mean of 147 and a standard deviation of 8.8
Scores on the quantitative section of the exam have a mean of 151 and a standard deviation of 9.4.
Assume the scores are normally distributed.Suppose a graduate school requires that applicants score at or above the 80th percentile on both exams. What verbal and quantitative scores are required?
Click the icon to view the table of standard scores and percentiles.
The verbal score required by the graduate school is ________.
(Round to the nearest whole number as needed.)
The quantitative score required by the graduate school is ________.
(Round to the nearest whole number as needed.)
|
Standard Scores and Percentiles |
|||||||
|---|---|---|---|---|---|---|---|
|
z-score |
Percentile |
z-score |
Percentile |
z-score |
Percentile |
z-score |
Percentile |
|
minus−3.5 |
00.02 |
minus−1.00 |
15.87 |
0.00 |
50.00 |
1.1 |
86.43 |
|
minus−3.0 |
00.13 |
minus−0.95 |
17.11 |
0.05 |
51.99 |
1.2 |
88.49 |
|
minus−2.9 |
00.19 |
minus−0.90 |
18.41 |
0.10 |
53.98 |
1.3 |
90.32 |
|
minus−2.8 |
00.26 |
minus−0.85 |
19.77 |
0.15 |
55.96 |
1.4 |
91.92 |
|
minus−2.7 |
00.35 |
minus−0.80 |
21.19 |
0.20 |
57.93 |
1.5 |
93.32 |
|
minus−2.6 |
00.47 |
minus−0.75 |
22.66 |
0.25 |
59.87 |
1.6 |
94.52 |
|
minus−2.5 |
00.62 |
minus−0.70 |
24.20 |
0.30 |
61.79 |
1.7 |
95.54 |
|
minus−2.4 |
00.82 |
minus−0.65 |
25.78 |
0.35 |
63.68 |
1.8 |
96.41 |
|
minus−2.3 |
01.07 |
minus−0.60 |
27.43 |
0.40 |
65.54 |
1.9 |
97.13 |
|
minus−2.2 |
01.39 |
minus−0.55 |
29.12 |
0.45 |
67.36 |
2.0 |
97.72 |
|
minus−2.1 |
01.79 |
minus−0.50 |
30.85 |
0.50 |
69.15 |
2.1 |
98.21 |
|
minus−2.0 |
02.28 |
minus−0.45 |
32.64 |
0.55 |
70.88 |
2.2 |
98.61 |
|
minus−1.9 |
02.87 |
minus−0.40 |
34.46 |
0.60 |
72.57 |
2.3 |
98.93 |
|
minus−1.8 |
03.59 |
minus−0.35 |
36.32 |
0.65 |
74.22 |
2.4 |
99.18 |
|
minus−1.7 |
04.46 |
minus−0.30 |
38.21 |
0.70 |
75.80 |
2.5 |
99.38 |
|
minus−1.6 |
05.48 |
minus−0.25 |
40.13 |
0.75 |
77.34 |
2.6 |
99.53 |
|
minus−1.5 |
06.68 |
minus−0.20 |
42.07 |
0.80 |
78.81 |
2.7 |
99.65 |
|
minus−1.4 |
08.08 |
minus−0.15 |
44.04 |
0.85 |
80.23 |
2.8 |
99.74 |
|
minus−1.3 |
09.68 |
minus−0.10 |
46.02 |
0.90 |
81.59 |
2.9 |
99.81 |
|
minus−1.2 |
11.51 |
minus−0.05 |
48.01 |
0.95 |
82.89 |
3.0 |
99.87 |
|
minus−1.1 |
13.57 |
minus−0.00 |
50.00 |
1.00 |
84.13 |
3.5 |
99.98 |
2.
Use the table to find the standard score and percentile of the following data values.
a. A data value
2.62.6
standard deviations below the mean.b. A data value 33 standard deviations below the mean.c. A data value 0.2 standard deviation above the mean.
Click the icon to view the standard scores and percentiles for a normal distribution.
a. The standard score is __________,and the percentile is _______.(Type integers or decimals.)
b. The standard score is ______ and the percentile is ________.(Type integers or decimals.)
c. The standard score is ________,and the percentile is _______.(Type integers or decimals.)
In: Statistics and Probability
In some sports (such as volleyball when I was in high school - scoring rules have changed) you can only score a point when it is your serve, and losing when it is your serve does not give up a point but only gives up the serve to your opponent. Suppose your probability of scoring on your serve is p (and of losing the serve is 1 − p) while your opponent’s probability of scoring on their serve is q (so the probability of you regaining the serve is 1 − q).
Find a formula for the probability S that you are the first to score the next point, assuming you currently have the serve. (This takes evaluating an infinite series.) While on the previous part, I have walked you through the process of figuring out what infinite series to evaluate and asked you explicit questions to answer, you should go through the same steps (answering similar questions) and write them out here. As before, get actual numbers for various values of p and q and comment on whether these are what you would expect.
In: Statistics and Probability
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.4 years with a standard deviation of 1.1 years.
Step 1 of 2:
If a sampling distribution is created using samples of the ages at which 41 children begin reading, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.
Step 2 of 2:
If a sampling distribution is created using samples of the ages
at which 41 children begin reading, what would be the standard
deviation of the sampling distribution of sample means? Round to
two decimal places, if necessary.
In: Statistics and Probability
The SAT scores for US high school students are normally distributed with a mean of 1500 and a standard deviation of 100.
1. Calculate the probability that a randomly selected student has a SAT score greater than 1650.
2. Calculate the probability that a randomly selected student has a SAT score between 1400 and 1650, inclusive.
3. If we have random sample of 100 students, find the probability that the mean scores between 1485 and 1510, inclusive.
In: Statistics and Probability