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What is the frequency for class 4.5-6.5?
30
What percentage of people are between 35-39? Round to one decimal.
11.3%
How many people are under 25?
33
Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 100 (mmHg)
(r = 0.867) There is a linear correlation, so we can use the regression equation. y = 1.31(100) + 43.56 y = 174.56
Listed below are numbers of enrolled students and numbers of burglaries for randomly selected large colleges in a recent year. Can we conclude that there is a linear correlation between enrollment and burglaries? Use ∝ = 0.05
r = 0.561. Critical values: r = +- 0.632. P-value = 0.091. Fail to reject Ho
The following table lists overall quality scores and prices of 40-inch LCD TVs. Do these data suggest that you can get better quality by spending more? Use alpha = 0.05.
r = 0.739. Critical values: -0.786, 0.786. Fail to reject Ho
If you plan to use a 0.05 significance level in a test of correlation between the systolic and diastolic readings, what are the critical values of r?
+- 0.878
Solve:
Ho: µ = 24. H1: µ < 24. Test statistic: t = -7.323. Critical value: t = -1.685. P-value < 0.005. Reject Ho
Solve:
Ho : µ = 3369g H1: µ < 3369g. Test statistic: t = -19.962. Critical value: t = -2.328. P-value < 0.005. Reject Ho
Solve:
Ho: sigma= 567g. H1: sigma≠ 567g. Test statistic: chi-square = 54.038. Critical values of chi-square: 51.172 and 116.321. 0.02 < P-value < 0.05. Fail to reject
Solve:
a. Ho : p = 0.5 H1: p > 0.5 b. z = 6.33
Solve:
n = 752
Solve:
61.5% < p < 66.5% :: Interval is above 50%, so majority consume alcoholic beverages
Construct a 95% confidence interval estimate of the mean discrepancy for the population of wristwatches
-22.1 sec < µ < 308.1 sec
Use the following information to find the degrees of freedom, critical values and confidence interval estimate of sigma : 99% confidence; n=25, s=0.24mg.
df = 24. chi-squareR = 45.559 chi-squareL = 9.886 Confidence Interval: 0.17 mg < sigma < 0.37 mg.
If 1 adult female is randomly selected, find the probability that they have a mean overhead reach less than 205.0 cm.
0.4768
If 49 adult females are randomly selected, find the probability that they have a mean overhead reach less than 207.0 cm.
0.8888 (tech: 0.8889)
What value has a probability of 0.3782 if the mean is 0 and the standard deviation is 1? What type of distribution is this?
Z = -0.31
If boys and girls are equally likely, groups of 400 births have a mean of 200 girls and a standard deviation of 10 girls. Is 232 girls in 400 births an unusually high number of girls?
Yes
Solve:
$315,075. The offer is well below the expected value, so she should continue
Solve:
1.2¢
A presidential candidate plans to visit the capitals in 4 of the 50 states. What is the probability that she selects the route of Sacramento, Albany, Juneau, and Hartford? Is it practical to list all of the different possible routes?
1 / 5,527,200. No, there are too many possibilities - it is not practical.
A fan of Lady Antebellum music plans to make a custom CD with 12 of their 27 songs. How many different combinations of 12 songs are possible? Is it practical to make a different CD for each possible combination?
17,383,860. Not practical
Using the following sample data, find the z score corresponding to the eye height of 1642 mm. Is it unusual? Why/why not? :: 1550, 1642, 1538, 1497, 1571
z = 1.54 :: This is not unusual because the value falls between 2 standard deviations of the mean
Assume that the percentage of people in a population have the following color eyes: 40% brown, 35% blue, 12% green, 7% gray, 6% hazel. If two people are randomly selected, what is the probability that at least one of them has brown eyes?
0.64
Find the probability of randomly selecting 1 of the 839 challenges and getting a challenge that was accepted, given that it was made by a female player.
126 / 350 or 0.360
Find the probability of randomly selecting 1 of the 839 challenges and getting a challenge that was accepted and was made by a female player.
126 / 839 or 0.150
If 1 of the subjects is randomly selected, find the probability of selecting someone who entered a plea of not guilty or was not sentenced to prison.
0.619
Construct a frequency distribution of the 20 brain volumes (cm3) listed below. Use the classes 900-999, 1000-1099, etc. What is the class width? What are the midpoints? What are the class boundaries?
Class width: 100 Midpoints: 949.5, 1049.5, 1149.5, 1249.5, 1349.5, 1449.5 Boundaries: 898.5-999.5, 999.5-1099.5, etc.
Construct a box-and-whisker diagram with the following list of data: 56, 78, 46, 83, 45, 67, 49, 68, 73, 85, 59, 56, 79, 48, 65, 42, 61, 83, 76, 51 (n=20)
Min: 42, Q1: 50, Median: 63, Q3: 77, Max: 85
Calculate the student's GPA. Round to the nearest hundredth.
GPA: 2.82


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