Question

**1. You want to do a study to determine the mean amount
of time, in hours, an SMC student spends at a paid job each week.
Initial studies indicate that there is a standard deviation of 4.6
hours. The result should be found to 95% confidence to within 0.5
hours. How many SMC students should you poll?**

a. 18 students

b. 30 students

c. 19 students

d. 326 students

e. 325 students

**2. The Graduate Management Admission Test (GMAT) is a
test required for admission into many masters of business
administration (MBA) programs. Total scores on the GMAT are
normally distributed. The Graduate Management Admission Council,
who administers the test, claims that the mean total score less
than 579. (Source: http://www.mba.com/.) Suppose a random sample of
8 students took the test, and their scores are given
below.**

**699, 560, 414, 570, 521, 663, 727, 413**

**Perform the appropriate hypothesis test to determine if
the mean score is less than 579. Use a 0.05 level of
significance.**

**e) Find the claim, the null hypothesis and the
alternative hypothesis for this situation.**

Claim: [">", "<", "="] [ Select ] ["529", "579", "571"]

Ho: [">", "<", "="] [ Select ] ["529", "579", "571"]

H_{1}: [">", "=", "<"]
[ Select ]
["570", "529", "579"]

**f) Use the appropriate calculator function to find the
p-value for this test. Round to four decimal places.**

a. -0.1909

b. 0.1909

c. 0.8540

d. 0.4270

e. 0.5730

**g) What comparison is used to reach a conclusion in this
hypothesis test?**

p-value [ Select ] [">", "=", "<"] [ Select ] ["0.5", "0.01", "0.05", "0.10"]

**f) What conclusion is reached?**

a. Do not reject Ho: There is not sufficient evidence to support the claim that the mean score is less than 579.

b. Do not reject Ho: There is sufficient evidence to support the claim that the mean score is less than 579.

c. Reject Ho: There is sufficient evidence to support the claim that the mean score is greater than 579.

d. Reject Ho: There is not sufficient evidence to support the claim that the mean score is less than 579.

**g) What is the possible error type in this
problem?**

**a.** Beta

b. Type 2

c. Type 1

d. Alpha

**h) Interpret the p-value in a sentence.**

Assuming that ("The Claim", "The p-value", "The alternative hypothesis, Ho", "The null hypothesis, Ho") is true, the probability of obtaining ("The level of significance", "The p-value", "The sample information", "The mean of 579") or values more extreme is ("-0.1909", "0.8540", "0.5730", "0.4270", "0.1909")

Answer #1

You wish to test the
claim that the average IQ score is less than 100 at the .005
significance level. You determine the hypotheses are:
Ho: μ=100
H1:μ<100
You take a simple
random sample of 76 individuals and find the mean IQ score is 95.5,
with a standard deviation of 15.1. Let's consider testing this
hypothesis two ways: once with assuming the population standard
deviation is not known and once with assuming that it is known.
Round to three decimal...

1-
The mean age of bus drivers in Chicago is 55.3 years. If a
hypothesis test is performed, how should you interpret a decision
that rejects the null hypothesis?
A.There is sufficient evidence to support the claim u= 55.3
B. There is sufficient evidence to reject the claim u = 55.3
C.There is not sufficient evidence to reject the claim u =
55.3
D.There is not sufficient evidence to support the claim u =
55.3.
2-
The dean of a...

A manufacturer claims that the mean lifetime of its lithium
batteries is less than 1520 hours. A homeowner selects 27 of these
batteries and finds the mean lifetime to be 1498 hours with a
standard deviation of 76 hours. Test the manufacturer's claim. Use
α = 0.10.
A. P-value = 0.112 > 0.02; do not reject H0; There is not
enough evidence support the claim, that mean is less than 1500.
B. P-value = 0.072 > 0.05; do not reject...

A manufacturer claims that the mean lifetime of its lithium
batteries is less than 1500 hours. A homeowner selects 25 of these
batteries and finds the mean lifetime to be 1480 hours with a
standard deviation of 80 hours. Test the manufacturer's claim.
Use α = 0.10.
A.
P-value = 0.112 > 0.10; do not reject H0; There is not enough
evidence support the claim, that mean is less than 1500.
B.
P-value = 0.112 > 0.05; do not reject...

A manufacturer claims that the mean lifetime of its lithium
batteries is less than 1120 hours. A homeowner selects 25 of these
batteries and finds the mean lifetime to be 1100 hours with a
standard deviation of 75 hours. Test the manufacturer's claim.
Use α = 0.01.
A. P-value = 0.110 > 0.01; do not reject H0; There is not
enough evidence support the claim, that mean is less than 1120.
B. P-value = 0.097 > 0.01; do not reject...

You wish to test the claim that the average IQ score is less
than 100 at the .01 significance level. You determine the
hypotheses are: H o : μ = 100 H 1 : μ < 100 You take a simple
random sample of 60 individuals and find the mean IQ score is 98.7,
with a standard deviation of 14.6. Let's consider testing this
hypothesis two ways: once with assuming the population standard
deviation is not known and once with...

You wish to test the claim that the average IQ score is less
than 100 at the .005 significance level. You determine the
hypotheses are: H o : μ = 100 H 1 : μ < 100 You take a simple
random sample of 95 individuals and find the mean IQ score is 95.2,
with a standard deviation of 14.4. Let's consider testing this
hypothesis two ways: once with assuming the population standard
deviation is not known and once with...

Do students study less than 150 minutes (2.5 hours), on average,
each week? A survey of 51 randomly selected students finds that on
average students study 138 minutes per night with a standard
deviation of 32 minutes. A hypothesis test based on this data
produces a test statistic of -2.68 and a p-value of 0.005. What are
the appropriate decision and conclusion at the 5% significance
level? Select one or more: Reject the null hypothesis. Do not
reject the null...

A study was done on prot and non-pro tests. 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
significance level 0.01 for both parts.
___________________________________________________________________
Pro Non-pro
μ μ1 μ2
n 34 32
x 74.86 83.25
s 10.51 18.27
_______________________________________________...

In a study of 816 randomly selected medical malpractice
lawsuits, it was found that 499 of them were dropped or dismissed.
Use a 0.01 significance level to test the claim that most medical
malpractice lawsuits are dropped or dismissed
which of the followings is the hypothesis test to be
conducted?
a) Ho: p≠0.5 H1: p=0.5
b) Ho: p=0.5 H1: p> 0.5
c) Ho: p=0.5. H1: p≠0.5
d) Ho:p>0.5 H1: p=0.5
e) Ho: p<0.5. H1: p=0.5
f) Ho: p=0.5 H1: p<...

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