Question

Answer questions 14 – 16 based on the following:

Sample A | Sample B | |

s^2 | 40 | 96 |

n | 16 | 26 |

We want to test Ho: σ2A = σ2B (σ2A / σ2B = 1) against Ha: σ2A ≠ σ2B
(σ2A / σ2B ≠ 1)

14. The test statistic equals

a. 0.417

b. .843

c. 2.4

d. 1.500

15. The p-value is between

a. 0.025 and 0.05

b. 0.05 and 0.10

c. 0.10 and 0.20

d. 0.00 and 0.01

16. What is your conclusion? Use α = 0.05.

a. fail to reject the null hypothesis

b. reject the null hypothesis

Answer #1

14. a. 0.417

15. b. 0.05 and 0.10

16. a. fail to reject the null hypothesis

Answer questions 5 – 8 based on the following:
The contents of a sample of 26 cans of apple juice showed a
standard deviation of 0.06 ounces. We
are interested in testing to determine whether the variance of the
population is significantly more
than 0.003.
5. The null hypothesis is
a. s2 > 0.003
b. s2 ≤ 0.003
c. σ2 > 0.003
d. σ2 ≤ 0.003
6. The test statistic is
a. 1.2
b. 31.2
c. 30
d. 500
7....

1. According to a recent report, 38% of adults wait
until they are 30 years of age or older to get
married for the first time. A researcher believes this claimed
value is too low. He gathers
data in order to test the hypotheses Ho: p = 0.38 vs. Ha: p >
0.38. In these hypotheses, what
does p represent?
A. The sample proportion
B. The population proportion
C. The p-value
D. The sample mean
E. The population mean
2....

Exhibit 4
The manager of the service department of a local car dealership has
noted that the service times of a sample of 15 new automobiles has
a sample standard deviation of S = 4 hours. We are interested to
test the following hypotheses using α = 0.05 level of
significance:
H0
: σ2 ≤ 14
Ha
: σ2 > 14
a. Refer to Exhibit 4. Assuming that the population of service
times follows an approximately normal distribution, what is...

Consider the following competing hypotheses and accompanying
sample data. Use Table 1.
H0 : P1−
P2 = 0.20
HA : P1−
P2 ≠ 0.20
x1 = 150
x2 = 130
n1 = 250
n2 = 400
a.
Calculate the value of the test statistic. (Round
intermediate calculations to at least 4 decimal places and final
answer to 2 decimal places.)
Test statistic
b.
Approximate the p-value.
p-value < 0.01
0.01 ≤ p-value < 0.025
0.025 ≤ p-value < 0.05...

A random sample of leading companies in South Korea gave the
following percentage yields based on assets.
2.1
1.9
4.2
1.2
0.5
3.6
2.4
0.2
1.7
1.8
1.4
5.4
1.1
Use a calculator to verify that s2 ≈ 2.200
for these South Korean companies.
Another random sample of leading companies in Sweden gave the
following percentage yields based on assets.
2.9
3.7
3.3
1.1
3.5
2.8
2.3
3.5
2.8
Use a calculator to verify that s2 ≈ 0.642
for these...

Exhibit 4 (Questions 19-22)
The manager of the service department of a local car dealership
has noted that the service times of a sample of 15
new automobiles has a sample standard deviation of S =
4 hours. We are interested to test the following
hypotheses using α = 0.05 level of
significance:
H0 : σ2 ≤ 14
Ha : σ2 > 14
Refer to Exhibit 4. Assuming that the
population of service times follows an approximately normal
distribution, what...

The observations in the sample are random and independent. The
underlying population distribution is approximately normal. We
consider H0: =15 against Ha: 15. with
=0.05.
Sample statistics: = 16, sx= 0.75, n= 10.
1. For the given data, find the test
statistic
t-test=4.22
t-test=0.42
t-test=0.75
z-test=8.44
z-test=7.5
2.
Decide whether the test statistic is in the rejection region and
whether you should reject or fail to reject the null
hypothesis.
the test statistic is in the rejection region, reject the...

Consider the following hypotheses:
H0: σ2 = 210
HA: σ2 ≠ 210
Find the p-value based on the following sample
information, where the sample is drawn from a normally distributed
population.
a. s2= 281; n =
34
The p-value is___________.
p-value 0.10
0.05 p-value < 0.10
0.02 p-value < 0.05
0.01 p-value < 0.02
p-value < 0.01
b. s2= 139; n =
34
The p-value is___________.
p-value 0.10
0.05 p-value < 0.10
0.02 p-value < 0.05
0.01 p-value < 0.02
p-value < 0.01
c. Which of the above...

x = 24.4, s = 9.2, n = 25, Ho: µ = 26, Ha: µ < 26, a = 0.05
13)
A) Test statistic: t = -0.87. P- value = 0.8034. Do not reject
Ho. There is not sufficient evidence to conclude that the mean is
less than 26. The evidence against the null hypothesis is weak or
none.
B) Test statistic: t = -0.87. P- value = 0.1966. Do not reject
Ho. There is not sufficient evidence to conclude...

Suppose there is a random sample of 1,196 observations, divided
into four groups. The table below summarizes the count of
observations that were seen in each group.
Group 1
Group 2
Group 3
Group 4
574
215
120
287
We are interested in testing the null hypothesis
H0:p1=0.5,p2=0.2,p3=0.1,p4=0.2.
a) What is the appropriate alternative hypothesis?
HA:All of the proportions are incorrect.
HA:At least one of the proportions is incorrect.
HA: All of the proportions are equal to each other.
b)...

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