A sporting goods store sells two types of bicycles, in two colors. The table shows its sales over the last year.
Road bike
Mountain bike
Total
Silver
81
39
120
Black
54
26
80
Total
135
65
200
Are buying a road bike and buying a silver bike independent events?
A. No, because P(road bike) = 0.675 and P(road bike| silver) = 0.675.
B. No, because P(road bike) = 0.675 and P(road bike silver) = 0.6.
C. Yes, because P(road bike) = 0.405 and P(road bike silver) = 0.675.
D. Yes, because P(road bike) = 0.675 and P(road bike silver) = 0.675.

A. find the power of the test, when the null hypothesis assumes a population mean of mu = 450, with a population standard deviation of 156, the sample size is 5 and the true mean is 638.47 with confidence intervals of 95 b. find the power of the test, when the null hypothesis assumes a population mean of mu = 644, with a population standard deviation of 174, the sample size is 3 and the true mean is 744.04 with confidence intervals of 95% c. find the power of the test, when the null hypothesis assumes a population mean of mu = 510, with a population standard deviation of 126, the sample size is 10 and the true mean is 529.44 with confidence intervals of 95