Question

Which one is the correct statement? Choose all applied.

	a.	There are three types of tests. Upper tailed test, Lower tailed test and Two tailed test
	b.	If p-value of a test is larger than level of significance (alpha), reject the null statement.
	c.	In hypothesis statement, there are only two statements: One is null statement and the other is alternative statement.
	d.	If level of significance is 0.05, then confidence level is 0.95.

According to the Centers for Disease Control and Prevention (February 18, 2016), 1 in 3 American adults don’t get enough sleep. A researcher wants to determine if Americans are sleeping less than the recommended 7 hours of sleep on weekdays. He takes a random sample of 150 Americans and computes the average sleep time of 6.7 hours on weekdays. Assume that the population is normally distributed with a known standard deviation of 2.1 hours.

a.	There is no evidence that average sleeping time of adults is less than 7 hours.
	b.	There is evidence that average sleeping time of adults is 7 hours.
	c.	There is evidence that average sleeping time of adults is more than 7 hours.
	d.	There is evidence that average sleeping time of adults is less than 7 hours.

which one is correct H0 and H1 statement?

	a.	H0: average spending at the rival's store > $130 H1: average spending at the rival's store = $130
	b.	H0: average spending at the rival's store < $130 H1: average spending at the rival's store > $130
	c.	H0: average spending at the rival's store = $130 H1: average spending at the rival's store < $130
	d.	H0: average spending at the rival's store = $130 H1: average spending at the rival's store > $130

Which one is the correct statement? Choose all applied.

	a.	For upper tailed test, if a test statistics is less than upper critical value, reject the H0.
	b.	For two tailed test, if a test statistics is larger than upper critical value, reject the H0.
	c.	For lower tailed test, if a test statistics is less than lower critical value, reject the H0.
	d.	For two tailed test, we need to find both upper and lower critical value.

Answer 1

The correct statements are as follows:

a. There are three types of tests. Upper tailed test, Lower tailed test and Two tailed test

c. In hypothesis statement, there are only two statements: One is null statement and the other is alternative statement.

d. If level of significance is 0.05, then confidence level is 0.95.

Thus, correct optiotn is: d. There is evidence that average sleeping time of adults is less than 7 hours.

Correct H0 and H1 statement:

c. H0: average spending at the rival's store = $130

H1: average spending at the rival's store < $130

d. H0: average spending at the rival's store = $130

H1: average spending at the rival's store > $130

The correct statements are:

a. For upper tailed test, if a test statistics is less than upper critical value, reject the H0.

c. For lower tailed test, if a test statistics is less than lower critical value, reject the H0.

d. For two tailed test, we need to find both upper and lower critical value