Direction: Answer the following items. A nationwide survey found out that the average time that college students spent on their personal computer is 10.5 hours per week. A random sample of 28 college students showed that they spent 8.5 hours per week using their computers with a standard deviation of 1.2 hours. Test whether the average number of hours spent by the 28 college students is significantly higher than the national average of 10.5 hours. Use a level of significance of 5%. 1. GIVEN: (choose the best answer. Write the letter and the answer, U. =8.5 hours, n = 28 college students, = 10.5 hours, s = 1.2 hours, a = 0.05 O. μ = 10.5 hours, n = 28 college students, = 8.5 hours, s = 1.2 hours, a = 0.05 A. = 8.5 hours, n = 10.5 hours, f = 28 college students, s= 1.2 hours, a = 0.05

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WORKSHEET #4 - TEST OF DIFFERENCE
Direction: Answer the following items.
A nationwide survey found out that the average time that college students spent on their
personal computer is 10.5 hours per week. A random sample of 28 college students showed
that they spent 8.5 hours per week using their computers with a standard deviation of 1.2
hours. Test whether the average number of hours spent by the 28 college students is
significantly higher than the national average of 10.5 hours. Use a level of significance of
5%.
1. GIVEN: (choose the best answer. Write the letter and the answer,
U.
=8.5 hours, n = 28 college students, * = 10.5 hours, s = 1.2 hours, a = 0.05
= 10.5 hours, n = 28 college students, = 8.5 hours, s = 1.2 hours, a = 0.05
O.
A.
= 8.5 hours, n = 10.5 hours, = 28 college students, s= 1.2 hours, a = 0.05
2. STEP 1: IDENTIFY THE CLAIM AND FORMULATE THE HYPOTHESES (choose the
best answer. Write the letter and the answer, ..
I.
H.: the average number of hours spent by the 28 college students is equal to the
national average of 10.5 hours. ( = μ)
H₁: the average number of hours spent by the 28 college students is lower than
the national average of 10.5 hours. ( * < µ)
E. Ho the average number of hours spent by the 28 college students is equal to the
national average of 10.5 hours. (* = p)
H₁: the national average of 10.5 hours is lower than the average number of hours
spent by the 28 college students. (μ < *)
A. Ho the average number of hours spent by the 28 college students is equal to the
national average of 10.5 hours. (f = µ)
H₁: the average number of hours spent by the 28 college students is higher than the
national average of 10.5 hours. ( > µ)
U. Ho the average number of hours spent by the 28 college students is significantly
lower than or equal to the national average of 10.5 hours. ( * = p)
H:: the national average of 10.5 hours is higher than the average number of hours
spent by the 28 college students. (μ > x)
3. STEP 2: SIGNIFICANCE LEVEL & TYPE OF TEST (choose the best answer. Write
the letter and the answer.
I. a=0.05, two-tailed test
0.0 0.05, left-tailed test
U. a=0.05, right-tailed test
4. WHY? (choose the best answer. Write the letter and the answer, -,
A. Two-tailed because Ho: 8.5 = 10.5
E. left-tailed test because H₁ : f <p
I. right-tailed test because H: : > p
O. right-tailed test because H₁ : p >
U. left-tailed because H: : μ< f
Transcribed Image Text:WORKSHEET #4 - TEST OF DIFFERENCE Direction: Answer the following items. A nationwide survey found out that the average time that college students spent on their personal computer is 10.5 hours per week. A random sample of 28 college students showed that they spent 8.5 hours per week using their computers with a standard deviation of 1.2 hours. Test whether the average number of hours spent by the 28 college students is significantly higher than the national average of 10.5 hours. Use a level of significance of 5%. 1. GIVEN: (choose the best answer. Write the letter and the answer, U. =8.5 hours, n = 28 college students, * = 10.5 hours, s = 1.2 hours, a = 0.05 = 10.5 hours, n = 28 college students, = 8.5 hours, s = 1.2 hours, a = 0.05 O. A. = 8.5 hours, n = 10.5 hours, = 28 college students, s= 1.2 hours, a = 0.05 2. STEP 1: IDENTIFY THE CLAIM AND FORMULATE THE HYPOTHESES (choose the best answer. Write the letter and the answer, .. I. H.: the average number of hours spent by the 28 college students is equal to the national average of 10.5 hours. ( = μ) H₁: the average number of hours spent by the 28 college students is lower than the national average of 10.5 hours. ( * < µ) E. Ho the average number of hours spent by the 28 college students is equal to the national average of 10.5 hours. (* = p) H₁: the national average of 10.5 hours is lower than the average number of hours spent by the 28 college students. (μ < *) A. Ho the average number of hours spent by the 28 college students is equal to the national average of 10.5 hours. (f = µ) H₁: the average number of hours spent by the 28 college students is higher than the national average of 10.5 hours. ( > µ) U. Ho the average number of hours spent by the 28 college students is significantly lower than or equal to the national average of 10.5 hours. ( * = p) H:: the national average of 10.5 hours is higher than the average number of hours spent by the 28 college students. (μ > x) 3. STEP 2: SIGNIFICANCE LEVEL & TYPE OF TEST (choose the best answer. Write the letter and the answer. I. a=0.05, two-tailed test 0.0 0.05, left-tailed test U. a=0.05, right-tailed test 4. WHY? (choose the best answer. Write the letter and the answer, -, A. Two-tailed because Ho: 8.5 = 10.5 E. left-tailed test because H₁ : f <p I. right-tailed test because H: : > p O. right-tailed test because H₁ : p > U. left-tailed because H: : μ< f
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