Q1- In the Super-Mega lottery there are 50 numbers (1 to 50), a player chooses ten different numbers and hopes that these get drawn. If the player's numbers get drawn, he/she wins an obscene amount of money. The table below displays the frequency with which classes of numbers are chosen (not drawn). These numbers came from a sample of 194 chosen numbers.
|Chosen Numbers (n=194)|
|1 to 10||11 to 20||21 to 30||31 to 40||41 to 50|
Test the claim that chosen numbers are not evenly distributed across the five classes. Test this claim at the 0.05 significance level.
(a) Find the test statistic.=
(b) Find the critical value.=
The number of men and women among professors in Math, Physics, Chemistry, Linguistics, and English departments from a SRS of small colleges were counted, and the results are shown in the table below.
Test the claim that the gender of a professor is independent of the department. Use the significance level α=0.01
(a) The test statistic is χ2=
(b) The critical value is χ2=
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