Question

Assume that you have a sample of n 1 equals 5, with the sample mean Upper X overbar 1 equals 48, and a sample standard deviation of Upper S 1 equals 6, and you have an independent sample of n 2 equals 4 from another population with a sample mean of Upper X overbar 2 equals 30 and the sample standard deviation Upper S 2 equals 7. Assuming the population variances are equal, at the 0.01 level of significance, is there evidence that mu 1 greater than mu 2? Determine the hypotheses. Choose the correct answer below.

A. Upper H 0: mu 1less than or equalsmu 2 Upper H 1: mu 1 greater than mu 2 B. Upper H 0: mu 1 greater than mu 2 Upper H 1: mu 1less than or equalsmu 2 C. Upper H 0: mu 1equalsmu 2 Upper H 1: mu 1not equalsmu 2 D. Upper H 0: mu 1not equalsmu 2 Upper H 1: mu 1equalsmu 2 Find the test statistic. t Subscript STATequals nothing (Round to two decimal places as needed.) Find the p-value. p-valueequals nothing (Round to three decimal places as needed.) Choose the correct conclusion below. A. Reject Upper H 0. There is sufficient evidence that mu 1 greater than mu 2. B. Do not reject Upper H 0. There is insufficient evidence that mu 1 greater than mu 2. C. Reject Upper H 0. There is insufficient evidence that mu 1 greater than mu 2. D. Do not reject Upper H 0. There is sufficient evidence that mu 1 greater than mu 2. Click to select your answer(s).

Answer #1

Use the given sample statistics to test the claim about the
difference between two population means
mu 1μ1 and mu μ2 at the given level of significance
alphaα=0.01.
Claim: mu 1μ1greater than>mu 2μ2,
Statistics: x overbar 1=5.2, s1=0.30, n1=48 and x overbar
2=5.6, s2=0.7 n2=37
Choose the correct null and alternative hypotheses below.
A. Upper H 0: mu 1greater thanmu 2 (Claim) Upper H Subscript
a: mu 1less than or equalsmu 2
B. Upper H 0: mu 1not equalsmu 2...

Assume that you have a sample of n 1 equals n1=9, with the
sample mean Upper X overbar 1 equals X1=50, and a sample standard
deviation of Upper S 1 equals 5 comma S1=5, and you have an
independent sample of n 2 equals n2=17 from another population with
a sample mean of Upper X overbar 2 equals X2=39
and the sample standard deviation Upper S2=6.
Complete parts (a) through (d).
a. What is the value of the pooled-variance tSTAT...

Use the given statistics to complete parts (a) and (b). Assume
that the populations are normally distributed. (a) Test whether mu
1greater thanmu 2 at the alphaequals0.05 level of significance for
the given sample data. (b) Construct a 90% confidence interval
about mu 1minusmu 2. Population 1 Population 2 n 20 23 x overbar
50.7 46.9 s 4.8 12.8 (a) Identify the null and alternative
hypotheses for this test. A. Upper H 0: mu 1not equalsmu 2 Upper H
1:...

Bank A and Bank B have each developed an improved process for
serving customers. The waiting period from the moment a customer
enters until he or she reaches the counter needs to be shortened. A
random sample of 10 customers is selected from each bank and the
results (in minutes) are shown in the accompanying data table.
Complete parts (a) through (d)
Bank A Bank B
2.92 3.86
2.84 4.17
3.22 4.94
3.45 5.54
3.64 5.02
4.98 6.31
4.58 6.37...

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
0.10
significance level for both parts.
Treatment
Placebo
mu
mu 1
mu 2
n
29
40
x overbar
2.34
2.69
s
0.82
0.52
a. Test the claim...

A data set lists earthquake depths. The summary statistics are n
equals 400, x over bar equals 6.48 km, s equals 4.83 km. Use a
0.01 significance level to test the claim of a seismologist that
these earthquakes are from a population with a mean equal to 6.00.
Assume that a simple random sample has been selected. Identify the
null and alternative hypotheses, test statistic, P-value, and
state the final conclusion that addresses the original claim. What
are the null...

Consider the hypothesis statement shown below using
alphaequals0.05 and the data to the right from two independent
samples.
Upper H 0 : mu 1 minus mu 2 greater than or equals 0
Upper H 1 : mu 1 minus mu 2 less than 0
?a) Calculate the appropriate test statistic and interpret the
result.
?b) Calculate the? p-value and interpret the result.
x overbar1
equals
121
x overbar2
equals
137
sigma1
equals
40
sigma2
equals
34
n1
equals
45
n2...

A hospital was concerned about reducing its wait time. A
targeted wait time goal of 25 minutes was set. After implementing
an improvement framework and? process, a sample of 364 patients
showed the mean wait time was 23.06 ?minutes, with a standard
deviation of 16.4 minutes. Complete parts? (a) and? (b) below. a.
If you test the null hypothesis at the 0.10 level of? significance,
is there evidence that the population mean wait time is less than
25 ?minutes? State...

Consider testing Upper H 0 : mu equals 20H0: μ=20 against Upper
H Subscript a Baseline : mu less than 20Ha: μ<20 where μ
is the mean number of latex gloves used per week by all
hospital employees, based on the summary statistics n=43,
x=19.3, and s=11.1
Complete parts a and b.
a. Compute the p-value of the test.
b. Compare the p-value with α=0.05 and make the appropriate
conclusion. Choose the correct answer below.
There is sufficient evidence to...

A psychologist obtains a random sample of 20 mothers in the
first trimester of their pregnancy. The mothers are asked to play
Mozart in the house at least 30 minutes each day until they give
birth. After 5 years, the child is administered an IQ test. It is
known that IQs are normally distributed with a mean of 100. If the
IQs of the 20 children in the study result in a sample mean of
104.4 and sample standard deviation...

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