Question

1)The test statistic for testing the significance for the overall regression model follows the

	normal distribution.
	Student's t-distribution.
	F-distribution.
	chi-square distribution.

2)When testing for a normal distribution with the chi-square goodness-of-fit test with a sample size of 240 observations, the number of intervals needed to satisfy the minimum number of expected frequencies is ________.

	4
	5
	6
	The sample size is too small to perform the chi-square goodness-of-fit test.

3)

A chocolate chip cookie producer claims that its cookies average 3 chocolate chips and that the distribution follows the Poisson. A consumer group wanted to test this claim and randomly sampled 150 cookies. The resulting frequency distribution is shown below.

Chips per Cookie	Frequency
0	4
1	20
2	39
3	37
4	27
5	13
6 or more	10

The test statistic for this sample is ________.

	2.224
	4.046
	12.660
	15.759

Answer 1

1) F-distribution.

3)

total observation = ΣO =150      
µ = ΣX*O/n = 442/150=2.947      
expected proportion = e-µ * µ^x / x!      
expected frequency = expected proportion * total observation      

X	observed (O)=f	X*O	expected proportion,p = e-µ * µ^x / x!	expected frequency ( E )=p*ΣO	(O-E)²/E
0	4	0	0.053	7.877	1.908
1	20	20	0.155	23.211	0.444
2	39	78	0.228	34.198	0.674
3	37	111	0.224	33.590	0.346
4	27	108	0.165	24.745	0.206
5	13	65	0.097	14.583	0.172
≥6	10	60	0.079	11.796	0.273

chi square test statistic,X² = Σ(O-E)²/E =   4.046