Question

You wish to test the claim that the average IQ score is less than 100 at the .05 significance level. You determine the hypotheses are: H o : μ = 100 H 1 : μ < 100 You take a simple random sample of 38 individuals and find the mean IQ score is 98.8, with a standard deviation of 15.9. 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 places where appropriate.

**Assume Population Standard Deviation is 15**

Test Statistic: z =

critical value: z =

p-value=

Conclusion About the Null:

- Reject the null hypothesis
- Fail to reject the null hypothesis

Conclusion About the Claim:

- There is sufficient evidence to support the claim that the average IQ score is less than 100.
- There is NOT sufficient evidence to support the claim that the average IQ score is less than 100.
- There is sufficient evidence to warrant rejection of the claim that the average IQ score is less than 100.
- There is NOT sufficient evidence to warrant rejection of the claim that the average IQ score is less than 100.

Answer #1

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...

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 following claim ( H a ) at a significance
level of α = 0.001 . H o : μ = 55.5 H a : μ < 55.5 You believe
the population is normally distributed, but you do not know the
standard deviation. data 48.7 46.4 65.8
What is the test statistic for this sample? test statistic =
Round to 3 decimal places
What is the p-value for this sample? p-value = Round to 4
decimal...

You wish to test the following claim ( H 1 ) at a significance
level of α = 0.005 . H o : μ = 78.7 H 1 : μ < 78.7 You believe
the population is normally distributed, but you do not know the
standard deviation. You obtain a sample of size n = 7 with a mean
of ¯ x = 74.8 and a standard deviation of S D = 5.4 .
What is the critical value for...

You wish to test the following claim ( H a ) at a significance
level of ? = 0.001 . H o : ? = 61.8 H a : ? < 61.8 You believe
the population is normally distributed, but you do not know the
standard deviation. You obtain a sample of size n = 27 with mean M
= 57 and a standard deviation of S D = 10.4 . What is the p-value
for this sample? (Report answer...

You wish to test the following claim ( H a ) at a significance
level of α = 0.005 . H o : μ = 77.3 H a : μ < 77.3 You believe
the population is normally distributed, but you do not know the
standard deviation. You obtain the following sample of data:
data
85.8
45.6
62.2
42.6
71.6
What is the test statistic for this sample? (Report answer
accurate to three decimal places.)
test statistic =
What is...

You wish to test the following claim ( H 1 ) at a significance
level of α = 0.005 . H 0 : μ = 74.5 H 1 : μ > 74.5 You believe
the population is normally distributed, but you do not know the
standard deviation. You obtain a sample of size n = 15 with mean ¯
x = 86.8 and a standard deviation of s = 13.2 . What is the test
statistic for this sample? (Report...

You wish to test the following claim ( H a ) at a significance
level of α = 0.002 .
H o : μ = 68.6
H a : μ ≠ 68.6
You believe the population is normally distributed, but you do
not know the standard deviation. You obtain a sample of size n = 11
with mean M = 65.9 and a standard deviation of S D = 15.2 .
What is the test statistic for this sample? (Report...

You wish to test the following claim ( H a ) at a significance
level of α = 0.02 .
H o : μ = 55.7 H a : μ ≠ 55.7
You believe the population is normally distributed, but you do
not know the standard deviation. You obtain a sample of size n =
111 with mean M = 50.4 and a standard deviation of S D = 14.8 .
What is the test statistic for this sample? (Report...

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