Based on internal tests a spaghetti sauce company believes that 70% of people prefer their sauce to the competitor's sauce. They are going to conduct a taste test and want to have a probability of .9 or better that 60% or more of taste testers prefer their product. They are considering groups of taste testers in increments of 10, i. e., 10, 20, 30, 40, ... How many people do they need to participate in the taste test? Note: Your answer will be divisible by 10 with no remainder. Use Excel to help you find the answer.

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