Question
In: Statistics and Probability
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=12, s1=2.4, 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 hypothesis test?
Since the P-value is (equal to or less) or (greater) than "a", (do not reject) or (reject) H0.
Part 5) The 99% confidence interval is from _ to _
Solutions
orchestra answered 2 years agoRelated Solutions
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 _______ ?
Summary statistics are given for independent simple random samples from two populations. Use the pooled t-test...
Summary statistics are given for independent simple
random samples from two populations. Use the pooled t-test to
conduct the required hypothesis test.
1 = 13, s 1 = 5, n 1 =
10, 2 = 21, s 2 =
4, n 2 = 14
Perform a left-tailed hypothesis test using a significance level of
α = 0.05.
a
Test statistic: t = -1.526526
Critical value = -1.717
0.05 < P < 0.10
Do not reject H0
b
Test statistic: t =...
Provided below are summary statistics for independent simple random samples from two normally-distributed populations. Conduct the...
Provided below are summary statistics for independent simple
random samples from two normally-distributed populations. Conduct
the required hypothesis test and obtain the specified confidence
interval.
xbar=12, s1=2.4, n1=20, xbar2=11, s2=7, n2=15
a) Right-tailed test, a=0.05. Find the test statistic. Find the
p-value
b) 90% confidence interval. Find the confidence interval
Two random samples are selected from two independent populations. A summary of the samples sizes, sample...
Two random samples are selected from two independent
populations. A summary of the samples sizes, sample means, and
sample standard deviations is given below:
n1=37,n2=44,x¯1=58.9,x¯2=74.7,s1=5.5s2=10.1 n 1 =37, x ¯ 1 =58.9, s
1 =5.5 n 2 =44, x ¯ 2 =74.7, s 2 =10.1 Find a 95.5% confidence
interval for the difference μ1−μ2 μ 1 − μ 2 of the means, assuming
equal population variances. Confidence Interval
Two random samples are selected from two independent populations. A summary of the samples sizes, sample...
Two random samples are selected from two independent
populations. A summary of the samples sizes, sample means, and
sample standard deviations is given below:
n1=39,n2=48,x¯1=52.5,x¯2=77.5,s1=5s2=11 Find a 97.5% confidence
interval for the difference μ1−μ2 of the means, assuming equal
population variances. Confidence Interval =
Two random samples are selected from two independent populations. A summary of the sample sizes, sample...
Two random samples are selected from two independent
populations. A summary of the sample sizes, sample means, and
sample standard deviations is given below:
n1=43, x¯1=59.1, ,s1=5.9
n2=40, x¯2=72.6, s2=11
Find a 99% confidence interval for the difference μ1−μ2 of the
means, assuming equal population variances.
_________<μ1−μ2<____________
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
there is a statistically significant difference, does that
difference have practical significance?
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
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:
x1 = 75.7
hours,...
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