Question

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 1×2×3×4×5×6×7×81×2×3×4×5×6×7×8:

45000, 1000, 500, 1500, 856, 1000, 1252, 200, 1110, 400045000, 1000, 500, 1500, 856, 1000, 1252, 200, 1110, 4000

Estimates from students given 8×7×6×5×4×3×2×18×7×6×5×4×3×2×1:

2000, 2050, 100000, 40320, 300, 10000, 550, 400, 377, 1000002000, 2050, 100000, 40320, 300, 10000, 550, 400, 377, 100000

Use a 0.050.05 significance level to test the claim that the two populations have the same mean.

(a) The test statistic is .......

2. Find the probability of throwing a sum of 11 at least 9 times in 12 throws
of a pair of fair dice.

3. Suppose the number of cars in a household has a binomial distribution with parameters n=14n=14 and p=10p=10%.

Find the probability of a household having:

(a) 9 or 12 cars

(b) 10 or more cars

(c) more than 10 cars

Answer 1