Normal Distribution and Obj

5471 Words Feb 21st, 2015 22 Pages
Chapter 13: Chi-Square Applications

SHORT ANSWER

1. When samples of size n are drawn from a normal population, the chi-square distribution is the sampling distribution of = ____________________, where s2 and are the sample and population variances, respectively.

ANS:

PTS: 1 OBJ: Section 13.2

2. Find the chi-square value for each of the right-tail areas below, given that the degrees of freedom are 7:

A) 0.95 ____________________

B) 0.01 ____________________

C) 0.025 ____________________

D) 0.05 ____________________

ANS:
2.167; 18.475; 16.013; 14.067

PTS: 1 OBJ: Section 13.2

3. Find the chi-square value for each of the four degrees of freedom below, given that the area to the left of a chi-square value is 0.05.

A) 2
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NARREND

10. At the 0.05 significance level, what is the appropriate table value?

ANS:
Critical Value2(0.05, 3) = 7.815

PTS: 1 OBJ: Section 13.3

11. What is the conclusion?

ANS:
Do not reject H0; there is no evidence to suggest the present accommodation is different from the national one.

PTS: 1 OBJ: Section 13.3

12. Assuming that there is only one category with an expected frequency less than five, what is the appropriate table value for the 0.05 significance level?

ANS:
Critical Value2(0.05, 4) = 9.488

PTS: 1 OBJ: Section 13.3

NARRBEGIN: Number of sales
A salesperson makes five calls per day. A sample of 200 days gives the frequencies of sales volumes listed below

NARREND

13. Assume the population is a binomial distribution with a probability of purchase equal to 0.50. Compute the expected frequencies (Ej) for the number of sales by using the binomial tables. Combine if necessary to satisfy the rules of five.

ANS:

x
Oj
p(x)
Ej
0
10
.0313
6.26
1
38
.1562
31.24
2
69
.3125
62.50
3
63
.3125
62.50
4
18
.1562
31.24
5
2
.0313
6.26
TOTAL
200
1.00
200

PTS: 1 OBJ: Section 13.3

14. Should the assumption of a binomial distribution with a probability of purchase equal to 0.50 be rejected at the 5% significance level?

Hypotheses: ____________________

Test statistic = ____________________

Critical Value = ____________________

Conclusion: ____________________________

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