Find the critical X2 -value to test the claim σ2 < 5.6 if n = 28 and α = 0.10.
A random sample of 160 car crashes are selected and categorized by age. The results are listed below.
The age distribution of all drivers for the given categories is:
18% for the under 26 group,
39% for the 26-45 group,
31% for the 45-65 group,
and 12% for the group over 65.
Calculate the chi-square test statistic χ2 to test the claim that all ages have crash rates proportional to their driving rates.
Each side of a standard six-sided die should appear approximately 1/6 of the time when the die is rolled.
A player suspects that a certain die is loaded. The suspected die is rolled 90 times. The results are shown below. Calculate the chi-square test statistic χ2 to test the player's claim.
The daily intakes of milk (in ounces) for ten randomly selected people were:
26.0 13.0 13.5 14.8 19.1
13.6 21.6 30.8 15.8 14.1
Use this data to find a 99% confidence interval for the population standard deviation σ.
0.88 oz < σ < 3.38 oz
3.78 oz < σ < 12.51 oz
3.78 oz < σ < 13.92 oz
3.65 oz < σ < 12.51 oz
A study was performed at a university to analyze whether the preference for hamburgers or fried chicken is related to the gender of the student. This table lists the results of the study. At = .05, test the claim that the meal preference and the gender of the student are not related.