Question

Test the claim that the mean age of the population in Sin City is less than 26 years. Sample data (assumed to be Normal) are summarized as n=25, average=24.4 years and standard deviation=9.2 years. Use a significance level of 0.01.

Answer #1

Identify the null and alternative hypothesis(in symbolic and
sentence form), test statistic, P-value(or critical values),
conclusion about the null hypothesis, and final conclusion that
addresses the original claim (Don’t just say Reject the null
hypothesis or fail to reject the null hypothesis).
4. Test the claim that the mean age of the prison population in
one city is less than 26 years. Sample data are summarized as
n=25,x ̅=24.4,and s=9.2. Use a significance level of α=0.05.

Use technology and a t-test to test the claim about the
population mean mu at the given level of significance alpha using
the given sample statistics. Assume the population is normally
distributed. Claim: mu greater than 74; alpha=0.01 Sample
statistics: x overbar=76.5, s=3.4, n=26

You wish to test the claim that the first population mean is
less than the second population mean at a significance level of
α=0.002α=0.002.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1<μ2Ha:μ1<μ2
You obtain the following two samples of data.
Sample #1
Sample #2
69.4
46.4
38.8
62.3
53.2
55.4
55.8
53.6
33.7
36.6
54.3
89.6
53.6
59.5
55.8
68.0
65.0
64.9
57.1
74.0
63.1
64.7
74.7
65.0
72.4
74.7
What is the test statistic for this sample?
test statistic = Round to 4 decimal
places....

Hypothesis Test for a Population Mean (σσ is
Unknown)
You wish to test the following claim (HaHa) at a significance level
of α=0.10α=0.10.
Ho:μ=77.2Ho:μ=77.2
Ha:μ≠77.2Ha:μ≠77.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=83n=83
with mean M=78.9M=78.9 and a standard deviation of
SD=13.7SD=13.7.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this...

Test the claim that the population of sophomore college students
has a mean grade point average of 2.24versus a mean grade point
average greater than 2.24. Sample statistics include n=23,
x⎯⎯⎯=2.4, and s=0.6. Use a significance level of α=0.01.
The test statistic is
The critical value is

Use technology and a t-test to test the claim about the
population mean muμ at the given level of significance
alphaα using the given sample statistics. Assume the population
is normally distributed.
Claim: muμgreater than>7474 ; alphaα=0.010
Sample statistics:
x bar=74.374.3 , s=2.92.9 , n=26
What is the p-value of the test statistic?

Test the claim that for the population of female college
students, the mean weight is given by mu equals 132 space l b s.
Sample data are summarized as n = 20, x̅ = 137 lb, and s = 14.2 lb.
Use a significance level of α = 0.1. Assume that a simple random
sample has been selected from a normally distributed population.
Find the test statistic.
t-stat = 1.57
z-stat = 1.03
z-stat = 2.42
t-stat = 1.03

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...

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...

Test the claim about the population mean mu at the level of
significance alpha. Assume the population is normally
distributed.
Claim: u > 25; alpha = 0.05; sigma=1.2
Sample statistics: x overbar=25.3, n=50

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