Question

1.

The test statistic for goodness of fit has a chi-square distribution with k - 1 degrees of freedom provided that the expected frequencies for all categories are​

	a.	​k or more.
	b.	​10 or more.
	c.	​5 or more.
	d.	​2k.

2. The owner of a car wash wants to see if the arrival rate of cars follows a Poisson distribution. In order to test the assumption of a Poisson distribution, a random sample of 150 ten-minute intervals was taken. You are given the following observed frequencies:

Number of Cars Arriving in a 10-Minute Interval	Frequency
0	3
1	10
2	15
3	23
4	30
5	24
6	20
7	13
8	8
9 or more	4
	150

​

The calculated value for the test statistic equals

	a.	2.89.
	b.	.18.
	c.	1.72.
	d.	3.11.

3. In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College. To see whether or not the proportions have changed, a sample of 300 students from the university was taken. Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College. The hypothesis is to be tested at the 5% level of significance. The critical value from the table equals

	a.	7.378.
	b.	7.815.
	c.	9.348.
	d.	5.991.

4. The owner of a car wash wants to see if the arrival rate of cars follows a Poisson distribution. In order to test the assumption of a Poisson distribution, a random sample of 150 ten-minute intervals was taken. You are given the following observed frequencies:

Number of Cars Arriving in a 10-Minute Interval	Frequency
0	3
1	10
2	15
3	23
4	30
5	24
6	20
7	13
8	8
9 or more	4
	150

The p-value is

	a.	between .025 and .05.
	b.	between .05 and .1.
	c.	less than .01.
	d.	greater than .1.

Answer 1