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. μ =8.5 hours, n = 28 college students, = 10.5 hours, s= 1.2 hours, a = 0.05 O. = 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, = 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. Ho the average number of hours spent by the 28 college students is equal to the national average of 10.5 hours. (x = 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. (x = μ) 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) H:: 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. ( = μ) H₁: the national average of 10.5 hours is higher than the average number of hours spent by the 28 college students. (p > 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 O. a=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 He: 8.5 = 10.5 E. left-tailed test because H₁ : p O. right-tailed test because H₁ : p > f U. left-tailed because H::u<*

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
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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
O. μ =10.5 hours, n = 28 college students, f = 8.5 hours, s = 1.2 hours, a = 0.05
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.
Ho the average number of hours spent by the 28 college students is equal to the
national average of 10.5 hours. (x = 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. (= H)
H:: 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. (x = μ)
H₁: the average number of hours spent by the 28 college students is higher than the
national average of 10.5 hours. (8 > 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. (* = µ)
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 He: 8.5 = 10.5
E. left-tailed test because H₁ : <u
I. right-tailed test because H₁ : * > p
O. right-tailed test because H₁ : p > f
U. left-tailed because H: :p <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 O. μ =10.5 hours, n = 28 college students, f = 8.5 hours, s = 1.2 hours, a = 0.05 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. Ho the average number of hours spent by the 28 college students is equal to the national average of 10.5 hours. (x = 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. (= H) H:: 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. (x = μ) H₁: the average number of hours spent by the 28 college students is higher than the national average of 10.5 hours. (8 > 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. (* = µ) 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 He: 8.5 = 10.5 E. left-tailed test because H₁ : <u I. right-tailed test because H₁ : * > p O. right-tailed test because H₁ : p > f U. left-tailed because H: :p <f
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