Randomly selected students were given five seconds to estimate the value of a product of numbers with the results shown below.
Estimates from students given 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8:
2000, 500, 4000, 842, 500, 2040, 600, 560, 750, 40320
Estimates from students given 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1:
400, 40320, 500, 3600, 100000, 42000, 2050, 1500, 100000, 400
Use a 0.05 significance level to test the following claims:
1. Claim: the two populations have equal variances.
The test statistic is -6.42
The larger critical value is 4.03
The conclusion is
A. There is sufficient evidence to warrant the rejection of the claim that the two populations have equal variances
B. There is not sufficient evidence to warrant the rejection of the claim that the two populations have equal variances
2. Claim: the two populations have the same mean. The test statistic is -3.96
The positive critical value is 2.262
The negative critical value is -2.262
The conclusion is
A. There is not sufficient evidence to warrant the rejection of the claim that the two populations have the same mean
B. There is sufficient evidence to warrant the rejection of the claim that the two populations have the same mean
