Question

Heights were measured for a random sample of 11 plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation of those height measurements were 35 centimeters and 8 centimeters, respectively. Assume that the population of heights of treated plants is normally distributed with mean μ. Based on the sample, can it be concluded that μ is different from 42 centimeters? Use the 0.05 level of significance. Perform a two-tailed test. Then answer the following.

What is the null hypothesis?

What is the alternate hypothesis?

What type of statistical test is this?

What is the value of the test statistic? (round to 3 decimals)

What is the p Value? round 3 decimals

At the 0.05 level of significance can it be conclude that the population mean height of the treated plants is different than 42 cm.?

Answer #1

The heights of 11-year old boys in the United States are
normally distributed. A random sample of 9 boys
was taken and their mean height (in inches) was 56.67 and their
sample standard deviation was 3 inches. Perform a
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mean height of 11-year old boys is more than 54
inches. Give the hypotheses, test statistic, rejection
region, P-value, decision, and interpretation.

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Is this a one- or two-tailed test?
"One-tailed"—the alternate hypothesis is greater than
direction.
"Two-tailed"—the alternate hypothesis is different from
direction.
What is the decision rule? (Round your answer to 2
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What is the value of...

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H0: μ ≤ 25
H1: μ > 25
Is this a one- or two-tailed test?
"One-tailed"—the alternate hypothesis is greater than
direction.
"Two-tailed"—the alternate hypothesis is different from
direction.
What is the decision rule? (Round your answer to 3
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What is the value of...

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*Use a 0.01 significance level to test the claim that the sample
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the mean height
is NOT equal to 73. (ASSUME Normal). (5 points) If z0.01=−2.32
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#6
A sample of 37 observations is selected from a normal
population. The sample mean is 25, and the population standard
deviation is 5. Conduct the following test of hypothesis using the
0.05 significance level.
H0: μ ≤ 24
H1: μ > 24
Is this a one- or two-tailed test?
"One-tailed"—the alternate hypothesis is greater than
direction.
"Two-tailed"—the alternate hypothesis is different from
direction.
What is the decision rule? (Round your answer to 3
decimal places.)
What is the value...

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significance level to test the claim that supermodels have heights
with a mean that is greater than the mean height of 162 cm for
women in the general population. Assume that heights of women are
normally distributed. Use the P-Value Method
178 177 176 174 175 178 175 178 178 177 180 176 180 178 180
176
a....

A sample of 31 observations is selected from a normal
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deviation is 3. Conduct the following test of hypothesis using the
0.05 significance level.
H0: μ ≤ 10
H1: μ > 10
e-1. What is the p-value?
(Round your answer to 4 decimal places.)
e-2. Interpret the p-value?
(Round your final answer to 2 decimal
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A random sample of 30 male college students was selected, and
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73
66
68
70
69
69
69
66
68
70
72
74
73
71
71
72
69
68
66
73
74
72
68
71
67
73
66
73
69
72
(a) Complete the frequency distribution for the data. Make sure
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A sample of 37 observations is selected from a normal
population. The sample mean is 25, and the population standard
deviation is 5. Conduct the following test of hypothesis using the
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