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Biblioteka

9.3 Classwork - Chi Squared Test for Goodness of Fit

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Question 1
Question 2
Question 3
Question 4

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Pitanje 3
3.

Using your graphics display calculator, find the X2-statistic

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Pitanje 15
15.

State the null hypotheses.

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Pitanje 1
1.

Estimate the number of defectives produced from each conveyor belt if the number of defects are evenly distributed.

Pitanje 2
2.

Write down the number of degrees of freedom.

Pitanje 4
4.

and p-value.

Pitanje 5
5.

Do we reject the null hypothesis?

Pitanje 6
6.

Provide a reason for your conclusion.

Pitanje 7
7.

Complete the table with the expected frequencies, on the assumption that each day should be equally proportional in calls received.

Pitanje 8
8.

A X2 goodness of fit test is performed at a 5% significance level.

State the null hypotheses.

Pitanje 9
9.

State the alternate hypotheses.

Pitanje 10
10.

Write down the number of degrees of freedom.

Pitanje 11
11.

Using your graphics display calculator, find the X2-statistic

Pitanje 12
12.

and p-value.

Pitanje 13
13.

The critical value is 12.592. Determine the conclusion for the test.

Pitanje 14
14.

providing a reason.

Pitanje 16
16.

State the alternate hypotheses.

Pitanje 17
17.

Write down the number of degrees of freedom.

Pitanje 18
18.

Calculate the p-value for the test.

Pitanje 19
19.

Determine the conclusion for the test.

Pitanje 20
20.

Determine if the manufacturer should consider changing the color distribution of their new model vehicles to be delivered to the dealership, to be more consistent with customer preferences.

In a reforested area of pine trees, heights of trees planted in a specific year seem to follow a normal distribution with mean 133.5 and standard deviation 56.3. A sample of 100 such trees is selected to test the validity of this hypothesis, using a 5% level of significance. The results of measuring tree heights, to the nearest centimeter, are recorded in the first two columns of the table below.

Pitanje 21
21.

State the null hypothesis.

Pitanje 22
22.

State the alternate hypothesis.

Pitanje 23
23.

Most of the expected frequencies have been calculated in the third column. (Frequencies have been rounded to the nearest integer, and frequencies in the first and last classes have been extended to include the rest of the data beyond 15 and 225.

Find the value of a. Round your answer to an integer.

Pitanje 24
24.

Find the value of b. Round your answer to an integer.

Pitanje 25
25.

Find the value of c. Round your answer to an integer.

Pitanje 26
26.

Given that there are 5 degrees of freedom, find the p-value.

Pitanje 27
27.

Do we reject the null hypothesis?

Pitanje 28
28.

Provide a reason for your conclusion.