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1. Conduct a test of the null hypothesis that the mean height
for all students in the Census at School database is equal to 155
cm vs the alternative that the mean Height is greater than 155 cm.
Use a significance level of 0.05.
a. State the null and alternative hypotheses.
Ho: m = 155
Ha: m > 155
b. Provide the Statcrunch output table.
Hypothesis test results:
Variable
Sample Mean
Std. Err.
DF
T-Stat
P-value
Height
159.86
1.7311103
49...
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Question 21 (4 points) For a hypothesis test about a population proportion or mean, if the level of significance is less than the p- value, the null hypothesis is rejected. (Ch10) True False Question 22 (4 points) Everything else being constant, increasing the sample size decreases the probability of committing a Type II error. (Ch10) True False The power of a statistical test is the probability of not rejecting the null hypothesis when it is true. (Ch10) True False Question...
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You set up a two-sided hypothesis test for a population mean μ
with a null hypothesis of H0:μ=100. You chose a significance level
of α=0.05. The p-value calculated from the data is 0.12, and hence
you failed to reject the null hypothesis. Suppose that after your
analysis was completed and published, an expert informed you that
the true value of μ is 104. How would you describe the result of
your analysis?
A) A Type 1 error was made because...
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A hypothesis test is conducted to test the null hypothesis that
the mean is less than 12. Use a 0.01 level of significance.
What type of test is this?
Right tail
Two tail
Left tail
What is the critical value?
2.33
-2.33
1.78
correct answer is not given
Suppose the test statistic was -2.50 What is the conclusion?
Fail to reject Ho. There is not sufficent evidence to support
the claim that the mean is less than 12.
Reject Ho....
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Not sure of my answers
Suppose you wish to conduct a test of the research hypothesis that the median of a population is greater than 73. You randomly sample 20 measurements from the population and determine that 13 of them exceed 73. Set up and conduct thee appropriate test of hypothesis at the 0.10 level of significance. Be sure to specify all necessary assumptions. What are the null and alternative hypotheses for this hypothesis tast? OA. Ho: n-13 He :...
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In a test of hypothesis, the null hypothesis is that the
population mean is equal to 90 and the alternative hypothesis is
that the population mean is not equal to 90. The test is to be made
at the 10% significance level. A sample of 100 elements selected
from this population produced a mean of 84 and a standard deviation
of 8. What is the value of the observed test statistic, z?
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Suppose the null hypothesis is Ho : µ = 500
against Ha : > µ = 500 , and the
significance level for this testing is 0.05. The population in
question is normally distributed with standard deviation 100. A
random sample of size n=25 will be used. If the true alternative
mean is 550, then the probability of committing the type II error
is ____.
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For a given population with o = 10.5 lb. we want to test the null hypothesis j = 66.5 against the alternative hypothesis u # 66.5 on the basis of a random sample of size n = 64. If the null hypothesis is rejected when x < 64.6 lb. or å > 68.8. a) (3 points) What is the probability of a type l error? b) (4 points) What is the probability of a type II error and the power...
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(3 points) Suppose that you're going to do a test of significance with null hypothesis 30 and alternative hypothesis 30 You take a sample of size 88 and compute the sample mean I assume that the population standard deviation of the variable is o 7.1 and that the sampling distribution of the sample mean is normal a if you carry a hypothesis test with significance level 05, what values of will cause us to reject the null hypothesis in favor...
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Suppose a population has a standard deviation of 6. You draw a
random sample of size 97 and test the null hypothesis that the
population mean is 95. If the true population mean is 97, what is
the probability of making a Type 2 error? How large a sample size
would you need to have power of 80% in a one-sided test?
Question 21 (4 points) For a hypothesis test about a population proportion or mean, if the level of significance is less than the p- value, the null hypothesis is rejected. (Ch10) True False Question 22 (4 points) Everything else being constant, increasing the sample size decreases the probability of committing a Type II error. (Ch10) True False The power of a statistical test is the probability of not rejecting the null hypothesis when it is true. (Ch10) True False Question...
Not sure of my answers
Suppose you wish to conduct a test of the research hypothesis that the median of a population is greater than 73. You randomly sample 20 measurements from the population and determine that 13 of them exceed 73. Set up and conduct thee appropriate test of hypothesis at the 0.10 level of significance. Be sure to specify all necessary assumptions. What are the null and alternative hypotheses for this hypothesis tast? OA. Ho: n-13 He :...
For a given population with o = 10.5 lb. we want to test the null hypothesis j = 66.5 against the alternative hypothesis u # 66.5 on the basis of a random sample of size n = 64. If the null hypothesis is rejected when x < 64.6 lb. or å > 68.8. a) (3 points) What is the probability of a type l error? b) (4 points) What is the probability of a type II error and the power...
(3 points) Suppose that you're going to do a test of significance with null hypothesis 30 and alternative hypothesis 30 You take a sample of size 88 and compute the sample mean I assume that the population standard deviation of the variable is o 7.1 and that the sampling distribution of the sample mean is normal a if you carry a hypothesis test with significance level 05, what values of will cause us to reject the null hypothesis in favor...