Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Textbook Question
Chapter 4, Problem 79H
A friend’ offers you the following deal. For a $10 fee, you may pick an envelope from a box containing 100 seemingly identical envelopes. However, each envelope contains a coupon for a free gift.
• Ten of the coupons are for a free gift worth $6.
• Eighty of the coupons ate for a free gift worth $8.
• Six of the coupons are for a free gift worth $12.
• Four of the coupons axe for a free gift worth $40.
Based upon the financial gain or loss over the long run, should you play the game?
a. Yes, I expect to come out ahead in money.
b. No, I expect to come out behind in money.
c. It doesn’t matter. I expect to break even.
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Students have asked these similar questions
An investigator analyzed the leading digits from 797 checks issued by seven suspect companies. The frequencies were found to be 0, 19, 2, 50, 361, 309, 10, 22, and 24, and those digits correspond to the
leading digits of 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively. If the observed frequencies are substantially different from the frequencies expected with Benford's law shown below, the check amounts appear to result
from fraud. Use a 0.10 significance level to test for goodness-of-fit with Benford's law. Does it appear that the checks are the result of fraud?
Leading Digit
Actual Frequency
Benford's Law: Distribution of Leading Digits
1
2
3
4
5
6
7
8
9
0
19
2
50
361
309
10
22
24
30.1%
17.6%
12.5%
9.7%
7.9%
6.7%
5.8%
5.1%
4.6%
Determine the null and alternative hypotheses.
Ho The leading digits are from a population that conforms to Benford's law.
H₁: At least one leading digit has a frequency that does not conform to Benford's law.
Calculate the test statistic, x².
x²
=
(Round to three…
For the distribution drawn here, identify the mean, median, and mode.
Question content area bottom
Part 1
A.
Aequalsmode, Bequalsmedian, Cequalsmean
B.
Aequalsmode, Bequalsmean, Cequalsmedian
C.
Aequalsmedian, Bequalsmode, Cequalsmean
D.
Aequalsmean, Bequalsmode, Cequalsmedian
A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected
from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both
parts.
a. Test the claim that the two samples are from populations with the same mean.
What are the null and alternative hypotheses?
OA. Ho PP2
H₁: P1 P2
OC. Ho H₁₂
H₁: P₁
Chapter 4 Solutions
Introductory Statistics
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