1. During the last 10 years marketing executives believed that the same proportion of adult men and adult women watched TV news programs. The marketing executives would like to perform a statistical test to assure themselves that a greater proportion of women now watch TV news programs than men. What should be used for the Null and alternative hypothesis to perform this test?
2. AMR is a computer consulting firm. The number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below.
|
Number of new clients
|
Probability
|
|
0
|
0.05
|
|
1
|
0.10
|
|
2
|
0.15
|
|
3
|
0.35
|
|
4
|
0.20
|
|
5
|
0.10
|
|
6
|
0.05
|
Refer to exhibit above, what is the variance?
3. Consider the letters involved in the word STATISTICS.
a). How many "bars" would be involved if you were supposed to construct a bar graph to represent the frequency distribution of letters?
b). What is the relative frequency of letter I?
4. For a standard normal distribution, the probability of obtaining a z value between -2.4 to -2.0 is?
5. Given that Z is a standard normal random variable, what is the value of Z if the area to the left of Z is 0.9382?