1.Which of the following distinctions are true regarding conducting hypothesis t
ID: 3054611 • Letter: 1
Question
1.Which of the following distinctions are true regarding conducting hypothesis tests on an unknown population mean whenever sigma is known as compared to whenever sigma is unknown?
a. The z test statistic requires a normally assumption, whereas the t test statistic does not require it.
b. The z distribution uses degrees of freedom, whereas the t distribution does not use them.
c. We use the z distribution when sigma is known. We use the t distribution when sigma is unknown.
d. The z distribution is used for tests on a population mean, whereas the t distribution is used for tests on a population standard deviation.
e. The z test statistic uses the population standard deviation. The t test statistic uses the sample standard deviation.
2. A hypothesis test of the null hypothesis U <= 50 yeilds a test statistic of 2.54. What is the p-value?
3.Which of the following statements represent a hypothesis in the statistical sense?
a. The population mean commute distance for students living off campus at a particular university is 8.7 miles.
b. The population proportion of defective parts generated by a manufacturing process is at most 1%.
c. A sample of 100 parts generated by a manufacturing process had a defect rate of 2%.
d. The population proportion of students who favor a new student conduct policy at a particular university is at least 65%.
e. A sample of 40 participants in a weight loss program had an average weight loss of 24 pounds.
4. Which four of the following statemtents correctly describe characteristics of the null hypothesis?
a. We use sample data to reach a conclusion about the null hypothesis.
b. It often (but not always) represents the status-quo scenario.
c. It is always the hypothesis on which the burden of proof is placed.
d. We either reject or fail to reject the null hypothesis. We never actually prove it to be true.
e. It is a statement about an unknown population parameter being tested.
5. Which four of the following statemtents correctly describe characteristics of the alternative hypothesis?
a. We either reject or fail to reject the alternative hypothesis.
b. It is the hypothesis which is supported when there is significant evidence that the null hypothesis is false.
c. It is the logical opposite of the null hypothesis.
d. It always has a <,> or = sign in it.
e. It is always the hypothesis on which the burden of proof is placed.
Explanation / Answer
1. When n>30 and population variance(standard deviation) is known we use z distribution rest we use t distribution
c. We use the z distribution when sigma is known. We use the t distribution when sigma is unknown.
e. The z test statistic uses the population standard deviation. The t test statistic uses the sample standard deviation.
The above two statements are correct.
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