Question

In: Statistics and Probability

#1 The population of scores on the in-person version of Dr. Hale’s first statistics test forms...

#1 The population of scores on the in-person version of Dr. Hale’s first statistics test forms a normal distribution with μ = 72 and σ = 6. He thinks the online class will do significantly better because they do a TON of extra homework that the other class doesn’t do. He gives a random sample of n = 25 students the test, and this sample got an average of 75. What conclusion should he draw if this was a 2-tailed test with alpha = .05?

		Reject Ho. The online students did significantly worse than the traditional students.
		Reject Ho. The traditional students did significantly better than the online students.
		Reject Ho. The traditional students did significantly worse than the online students.
		Reject Ho. The online students did not do significantly better than the traditional students.

#2 The population of scores on the in-person version of Dr. Hale’s first statistics test forms a normal distribution with μ = 72 and σ = 6. He thinks the online class will do significantly better because they do a TON of extra homework that the other class doesn’t do. He gives a random sample of n = 25 students the test, and this sample got an average of 75. What was the null hypothesis for this study?

		H0: μonlinestudents ≠ 74
		H0: μonlinestudents = 74
		H0: μ μonlinestudents ≠ 72
		H0: μonlinestudents = 72

#3 When computing z for a sample mean, which quantity is the denominator?

		It depends on the population mean.
		The standard error
		The population standard deviation
		Either the standard error or the population standard deviation would work.

#4 The population of scores on the in-person version of Dr. Hale’s first statistics test forms a normal distribution with μ = 72 and σ = 6. He thinks the online class will do significantly better because they do a TON of extra homework that the other class doesn’t do. He gives a random sample of n = 25 students the test, and this sample got an average of 75. What conclusion should he draw if this was a 2-tailed test with alpha = .01?

		Retain Ho. The online students did not do significantly better than the traditional students.
		Retain Ho. The performance between the two classes was statistically unequal.
		Reject Ho. The online students did not do significantly better than the traditional students.
		Reject Ho. The performance between the two classes was statistically equal.

#5 Which of the following is not a step or rule in a hypothesis test?

		If the sample data is located in the critical region, we reject the null hypothesis.
		State the null hypothesis about a population.
		If the sample data is not located in the critical region, we accept the null hypothesis.
		Set the alpha level.

#6 The population of scores on the in-person version of Dr. Hale’s first statistics test forms a normal distribution with μ = 72 and σ = 6. He thinks the online class will do significantly better because they do a TON of extra homework that the other class doesn’t do. He gives a random sample of n = 25 students the test, and this sample got an average of 75. What was the alternative hypothesis for this study?

		H1: μonlinestudents > 74
		H1: μonlinestudents < 72
		H1: μonlinestudents < 74
		H1: μ μonlinestudents > 72
		H1: μonlinestudents ≠ 74

Solutions

Expert Solution

(1)

H0: = 72

HA: 72

SE = /

= 6/

= 1.2

Test Statistic is:

t = (75 - 72)/1.2

= 2.50

= 0.05

ndf = 25 - 1 = 24

From Table, critical values of t = 2.0639

Since calculated value of t is greater than critical value, reject H0.

So,

Correct option:

Reject Ho. The traditional students did significantly worse than the online students.

(2)

Correct option:

H0: μonlinestudents = 72

(3)

Correct option:

The standard error

(4)

Correct option:

Explanation:

H0: = 72

HA: 72

SE = /

= 6/

= 1.2

Test Statistic is:

t = (75 - 72)/1.2

= 2.50

= 0.01

ndf = 25 - 1 = 24

From Table, critical values of t = 2.7969

Since calculated value of t is less than critical value, fail to reject H0.

So,

Correct option:

Retain Ho. The online students did not do significantly better than the traditional students.

(5)

Correct option:

If the sample data is not located in the critical region, we accept the null hypothesis.

(6)

Correct option:

H1: μ μonlinestudents > 72

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orchestra answered 1 year ago

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