(a) right choice is second
H0:Hours of sleep per night is independent of age
Ha:Hours of sleep per night is not independent of age
test statistic=4.01
chi-square=sum((O-E)2/E)=4.01 with (r-1)(c-1)=(4-1)(2-1)=3 df
p-value=0.260
Donot reject H0: We conclude that hours of sleep per night and age are independent
(since the p-value=0.260 is more than level of significance =0.05)
(b) please look
% | |
<=6 | 14.8 |
6-6.9 | 24.2 |
7-7.9 | 29.6 |
>=8 | 31.4 |
total | 100 |
following data is given
|
here we use chi-square test and
chi-square=sum((O-E)2/E)=4.01 with (r-1)(c-1)=(4-1)(2-1)=3 df
Observed(O) | Expected(E) | E | (O-E) | (O-E)2/E | |
38 | 74*240/500 | 35.52 | 2.48 | 0.17 | |
62 | 121*240/500 | 58.08 | 3.92 | 0.26 | |
75 | 148*240/500 | 71.04 | 3.96 | 0.22 | |
65 | 157*240/500 | 75.36 | -10.36 | 1.42 | |
36 | 74*260/500 | 38.48 | -2.48 | 0.16 | |
59 | 121*260/500 | 62.92 | -3.92 | 0.24 | |
73 | 148*260/500 | 76.96 | -3.96 | 0.20 | |
92 | 157*260/500 | 81.64 | 10.36 | 1.31 | |
sum= | 500 | 0 | 500 | 0 | 4.01 |
chi-square= | 4.01 with 3 df | ||||
p-value= | 0.2604 |
A survey was conducted to determine whether hours of sleep per night are independent of age....
A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow Age...
A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Hours...
The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age (Newsweek, January 19, 2004). The following show the hours of sleep on weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older Age 49 or younger 50 or older a. Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age. Use α =...
The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age (Newsweek, January 19, 2004). The following show the hours of sleep on weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older Hours of Sleep 6 to 6.9 63 57 Fewer than 6 Age 49 or younger 50 or older a. Conduct a test of independence to determine whether the hours...
The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age (Newsweek, January 19, 2004). The following show the hours of sleep on weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older. Hours of Sleep 6 to 6.9 Age Fewer than 7 to 7.9 8 or more Total 38 74 49 or younger 50 or older a. Conduct a test of...
The National Sleep Foundation used a survey to determine whether hours of sleeping per night are Independent of age (Newsweek, January 19, 2004). The following show the hours of sleep on weeknights for a sample of Individuals age 49 and younger and for a sample of individuals age 50 and older. Hours of Sleep 6 to 6.9 65 Age 19 or younger 50 or older a, conduct a test of independence to determine whether the hours of sleep on weeknights...
to of age A options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the options: age 39 or younger and age 40 or older. Sample data follow. 6 to 6.9 7 to 7.9 of age. Ha: Hours of sleep per night is not mutually exclusive from age. Find the value of the test statistic. (Round your answer to three decimal places.) What Is the p-value? (Round your answer to...
A survey cunducted o de errm'าษ whether hours u eep per r "yht dre r dependent of dye. A sample U Individuals was e'sked o indicate he nur er u huurs o sleep per mqht with ca euricd options: ev e u dn 6 hours, 6 to 6.9 hours 7 to 7.9 hours dnd ε huurs or more. Later in the survey, the individuas were asked to indicate their age with categorical options: age 39 or yournger and age 40...
CheckK MV Work The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age (Newsweek, January 19, 2004). The following show the hours of sleep on weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older. Age 49 or younger 50 or older a. Conduct a test of independence to determine whether the hours of sleep on weeknights are independent of age....
The recommended number of hours of sleep per night is 8 hours, but everybody "knows" that the average college student sleeps less than 7 hours. The number of hours slept last night by 10 randomly selected college students is listed below. Complete the following hypothesis test: Ho: μ = 7, Ha: μ < 7, α = 0.05. 7.9 6.2 6.8 7 6.9 5.6 5.2 5.7 7.3 5.5 (a) Find t. (Give your answer correct to two decimal places.) (ii) Find...