8.1
15
Mx=80; 0x=2.
p= 0.0668; If we take 100 random samples of size n=49 from a population of M=80 and 0=14, then about 7 if the samples will have a mean that is greater than 83.
p=0.0179; If we take 100 random samples of size n=49, M=80, O=14, then about 2 of the samples will result in the mean that is less than or equal to 75.8.
p=0.7969; If we take 100 random samples, then about 80 of the samples will have a mean between 78.3 and 85.1.
17
Mx = 64, Ox = 4.907
p=0.7486; If we take 100 random samples of size n=12 from a population distrubution of M=64 and O=17, then 75 of the samples will have a mean that is less that 67.3.
p=0.4052; If we take a 100 random samples of…then 41 of the samples will have a mean that is greater than or equal to 65.2.
19
p=0.3520.
Mx=266, Ox=3.57.
p=0.0465.
p=0.0040.
not a very normal result.
p=0.9844.
21
P=0.3085.
P=0.4123.
P=0.0071.
By increasing the sample size P(x>95) decreases .
P=0.1056; new program isnt that much more effective than the old.
5% chance
23
P=0.5675.
P=0.7291.
P=0.8051.
P=0.8531.
they both increase together.
8.2
11
P=0.046.
P=0.1922.
P=0.0047.
12
P=0.034.
P=0.8167.
P=0.0375.
13
mp=0.35 ; Op=0.015.
P=0.0040.
P=0.0233.
14
Mp=0.42 ; Op=0.013.
P=0.0102.
0.0606.
15
Qaulitative with two outcomes, they can either order a mean in a foreign language or not.
Sample proportion: random variable because it’s different between each sample. Source: individuals in the sample and their ability to order a meal in a foreign language.
Mp=0.47 ; Op = 0.035.
p=0.1977.
p=0.0239.
16
Qualitative with two possible outcomes, either satisfied or not.
Sample proportion: random variable (varies between each sample); Source: individuals in sample who are satisfied.
Mp=0.82 ; Op=0.038
P=0.2177.
P=0.0344.
17
(a)Mp=0.39 ; Op=0.022
P=0.3228.
P=0.3198.
P=0.0838