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A pharmaceutical company wants to test the effectiveness of an experimental sleeping pill. An experiment is conducted over two nights, with 10 volunteers who have difficulties sleeping at night. On the first night, each of the ten persons is given the sleeping pill one hour before bedtime and the time needed to fall asleep is recorded. On the second night, the same persons are given a placebo in the form of a pill that looks exactly as the real one (without being told about it) and the time needed to fall asleep is again recorded. The times needed to fall asleep are assumed to follow a normal distribution. The results for the two nights for the ten volunteers are shown below:
Individual
A
B
C
D
E
F
G
H
I
J
Pill
4
7
10
15
6
13
11
1
Placebo
9
8
16
a. Calculate the mean and variance of the sample data.
b. Do the data indicate that the sleeping pill is effective at a 1% level of significance?
c. Estimate with 95% confidence the mean reduction in time it takes for someone who has taken the sleeping pill to fall asleep.
Compute a 3-month moving average forecast of demand for April through January (of the next year).
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A researcher has a series of Likert-scale items and a measure of frequency of absenteeism. He uses each of the Likert-scaled items in a separate bivariate correlation with absenteeism without testing for the assumptions of linear relationships. Is th..
Find the percent of a standard Normal model found in the given region. Round to the nearest hundredth of a percent.
If is the proportion of the next 100 shoppers that buy a packet of the crackers after tasting a free sample, then the probability that fewer than 30% buy a packet after tasting a free sample is approximately.
Determining the probability that the two choose the same number?
If code is 4 random letters, and letters can be utilized multiple times, how many different possible codes are there?
Assume the arrival of these emails is approximated by the Poisson distribution.
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