Question

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

equals

55

?

a) The test statistic is

nothing.

?(Round to two decimal places as? needed.)

Determine the appropriate critical? value(s).

The critical? value(s) is(are)

nothing.

?(Round to three decimal places as needed. Use a comma to separate
answers as? needed.)

Since the test statistic

?

does not fall

falls

in the rejection? region,

?

reject

do not reject

Upper H 0. There is

?

sufficient

insufficient

evidence to conclude that the mean of population 1 is less than the
mean of population 2.

?

b) The? p-value is

nothing.

?(Round to three decimal places as? needed.)

Since the? p-value is

?

less than

greater than

equal to

alpha?,

?

reject

do not reject

Upper H 0. There is

?

sufficient

insufficient

evidence to conclude that the mean of population 1 is less than the
mean of population 2.

Answer #1

- Here we have to test the claim that mean of population 1 is less than mean of population 2
**HYPOTHESIS TO BE TESTED**- Ho: vs H1:
**TEST STATISTICS IS GIVEN BY**- Now by substituing the mean and standard deviation test statistics obtained is
- =
**-2.127** **P-VALUE**- P(Z<-2.127)=1-P(Z<2.127)
- =1-0.98300 (i.e the associatied p value with the z value from the normal distribution table)
**=0.017**- Therefor the p value obtained is
**less than 5% significant leve**l. - Therefore we have
**enough evidence**to**reject**the null hypothesis - Thereofre we conclude that mean of population 1 is less than mean of population 2.

The display provided from technology available below results
from using data for a smartphone carrier's data speeds at airports
to test the claim that they are from a population having a mean
less than
4.00
Mbps. Conduct the hypothesis test using these results. Use a
0.05
significance level. Identify the null and alternative
hypotheses, test statistic, P-value, and state the final
conclusion that addresses the original claim.
LOADING...
Click the icon to view the display from technology.
Assuming all conditions...

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...

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...

Listed below are systolic blood pressure measurements (mm Hg)
taken from the right and left arms of the same woman. Assume that
the paired sample data is a simple random sample and that the
differences have a distribution that is approximately normal. Use
a
0.050.05
significance level to test for a difference between the
measurements from the two arms. What can be concluded?
Right arm
152152
148148
115115
129129
136136
Left arm
172172
168168
177177
148148
149149
In this example,...

In a previous year, 51% of females aged 15 and older lived
alone. A sociologist tests whether this percentage is different
today by conducting a random sample of 550 females aged 15 and
older and finds that 287 are living alone. Is there sufficient
evidence at the alphaequals0.01 level of significance to conclude
the proportion has changed? Because np 0 left parenthesis 1 minus
p 0 right parenthesisequals nothing ▼ greater than less than not
equals equals 10, the sample...

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...

7) Answer the questions below for hypothesis A and
B.
1.What is the test statistic? (Round to two decimal places as
needed.)
2. What are the critical values? (Round to three decimal places
as needed.)
3. Since the test statistic (falls/does not fall) in the
rejection region, (reject/do not reject) Ho. There is (sufficient/
not sufficient) evidence to conclude that the mean of population 1
is different from population 2.
4.What is the P value?
5. Since the p-value is...

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...

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...

A simple random sample of size nequals15 is drawn from a
population that is normally distributed. The sample mean is found
to be x overbarequals19.6 and the sample standard deviation is
found to be sequals6.3. Determine if the population mean is
different from 26 at the alpha equals 0.01 level of significance.
Complete parts (a) through (d) below. (a) Determine the null and
alternative hypotheses. Upper H 0: ▼ sigma mu p ▼ equals greater
than not equals less than...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 23 minutes ago

asked 25 minutes ago

asked 30 minutes ago

asked 32 minutes ago

asked 36 minutes ago

asked 41 minutes ago

asked 48 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago