Question
In: Statistics and Probability
Independent simple random samples from two strains of mice used in an experiment yielded the following...
Independent simple random samples from two strains of mice used in an experiment yielded the following measurements on plasma glucose levels following a traumatic experience: Strain A: 54; 99; 105; 46; 70; 87; 55; 58; 139; 91 Strain B: 93; 91; 93; 150; 80; 104; 128; 83; 88; 95; 94; 97 Do these data provide sufficient evidence to indicate that the variance is larger in the population of strain A mice than in the population of strain B mice? Let a= 0.05. What assumptions are necessary?
Solutions
Expert Solution
An F-test assumes that data are normally distributed and that samples are independent from one another.
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Assume that the two samples are independent simple random samples selected from normally distributed populations. Do...
Assume that the two samples are independent simple random
samples selected from normally distributed populations. Do not
assume that the population standard deviations are equal. Refer to
the accompanying data set. Use a 0.01 significance level to test
the claim that the sample of home voltages and the sample of
generator voltages are from populations with the same mean. If
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Day Home (volts) Generator
(volts)
1 123.7 ...
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do...
Assume that the two samples are independent simple random
samples selected from normally distributed populations. Do not
assume that the population standard deviations are equal.
Refer to the accompanying data set. Use a 0.05 significance
level to test the claim that the sample of home voltages and the
sample of generator voltages are from populations with the same
mean. If there is a statistically significant difference, does
that difference have practical significance?
Day
Home( volts)
Generator( volts)
Day
Home (volts)...
Assume that two samples are independent simple random samples selected from normally distributed populations. Do not...
Assume that two samples are independent simple random samples
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A paint manufacturer wished to compare the drying times of two
different types of paint. Independent simple random samples of 11
cans of type A and 14 cans of type B were selected and applied to
similar surfaces. The drying times, in hours, were recorded.
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Type A:
x1 = 75.7
hours,...
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do...
Assume that the two samples are independent simple random
samples selected from normally distributed populations. Do not
assume that the population standard deviations are equal.
Refer to the accompanying data set. Use a 0.01 significance
level to test the claim that women and men have the same mean
diastolic blood pressure.
(a) calculate the test statistic
t=
(b) find p-vlaue
p-value=
(c) Make a conclusion about the null hypothesis and a final
conclusion that addresses the original claim.
(Reject/no reject)...
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do...
Assume that the two samples are independent simple random
samples selected from normally distributed populations. Do not
assume that the population standard deviations are equal. Refer to
the accompanying data set. Use a 0.01 significance level to test
the claim that women and men have the same mean diastolic blood
pressure.
Women Men
71.0 70.0
94.0 64.0
79.0 67.0
65.0 60.0
73.0 63.0
79.0 71.0
58.0 58.0
51.0 40.0
71.0 67.0
87.0 66.0
67.0 82.0
60.0 74.0
73.0 55.0
61.0 ...
Assume that two samples are independent simple random samples selected from normally distributed populations. Do not...
Assume that two samples are independent simple random samples
selected from normally distributed populations. Do not assume that
the population standard deviations are equal.
A paint manufacturer wished to compare the drying times of two
different types of paint. Independent simple random samples of 11
cans of type A and 14 cans of type B were selected and applied to
similar surfaces. The drying times, in hours, were recorded.
The summary statistics are below.
Type A:
x overbar 1 equals...
Provided below are summary statistics for independent simple random samples from two populations. Use the pooled...
Provided below are summary statistics for independent simple
random samples from two populations. Use the pooled t-test and the
pooled t-interval procedure to conduct the required hypothesis
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n1=19, x2=13, s2=2.2, n2=19
a. Two-tailed test, a=0.01
b. 99% confidence interval
Part 1) First, what are the correct hypotheses for a two-tailed
test?
Part 2) Next, compute the test statistic.
Part 3) Determine the P-value.
Part 4) What is the conclusion of the...
Provided below are summary statistics for independent simple random samples from two populations. Use the pooled...
Provided below are summary statistics for independent simple
random samples from two populations. Use the pooled t-test and the
pooled t-interval procedure to conduct the required hypothesis
test and obtain the specified confidence interval.
x1=15,
s1=2.3,
n1=15,
x2=16,
s2=2.2,
n2=15
a. First, what are the correct hypotheses for a two-tailed
test?
compute the test statistic.
Now determine the critical values.
What is the conclusion of the hypothesis test?
Since the test statistic ____ in the rejection region, ____
H0
b....
Provided below are summary statistics for independent simple random samples from two populations. Use the pooled...
Provided below are summary statistics for independent simple
random samples from two populations. Use the pooled t-test and the
pooled t-interval procedure to conduct the required hypothesis
test and obtain the specified confidence interval.
x1= 18, s1= 4, n1= 21, x2= 21, s2= 5, n2=13
a. What are the correct hypotheses for a left-tailed test?
b. Compute the test statistic
. c. Determine the P-value. d.
The 90% confidence interval is from _____ to _______ ?
Given two independent random samples with the following results:
Given two independent random samples with the following results: n1=170x1=36 n2=123x2=65 Use this data to find the 90% confidence
interval for the true difference between the population
proportions.Step 1 of 4 : Find the values of the two sample proportions, pˆ1
and pˆ2. Round your answers to three decimal places.Step 2 of 4: Find the margin of error. Round your answer to six
decimal places.Step 3 of 4: Construct the 90% confidence interval. Round your
answers to three decimal places.
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