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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
Do the data indicate that the sleeping pill is effective at a 1% level of significance?
Construct a 96% confidence interval for the mean weight of all firefighters six months after the exercise rooms were installed.
Using the results, describe the effect of an outlier or extreme value on the confidence interval.
Which of following statements would be right concerning a twotail test at 0.05 level of significance? We can conclude that average cottage cheese consumption in America is at least 0.705 pound more or less than 2.75 pounds per person per year.
(a) Use the steps of hypothesis testing, (b) figure the effect size for the study; and (c) explain your answers to (a) and (b) to someone who has never had a course in statistics.
Below is a plot of the Olympic gold medal winning performance in the high jump (in inches) for the years 1900 to 1996.
For a given confidence interval, what is the interpretation of a 96% confidence level?
Draw the graph of the regression line on the same plot as the scatter diagram above.
If they must form an ethics subcommittee of 4 members, how many different subcommittees are possible?
Using the Binomial Distribution, find the probability that if Air Northeast books 22 people on a flight, not enough seats will be available for all booked passengers.
In the Distance problems, the kids are given a Rate (speed) that a vehicle is going, as well as a Time that the vehicle travels, and asked to calculate the Distance travelled. In the Rate problems they are asked to compute Rate from the other two ..
With a single-sample t ratio, the null hypothesis states that:
By using.02 level of significance, carry out a 5-step hypothesis testing procedure to find out if new processes considerably reduced the wait time.
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