I’m working on a statistics practice test / quiz and need an explanation and answer to help me learn.

Here are the first two questions, the rest are sent by file:

1. The average ACT score follows a Normal distribution, with a mean of ? = 21.1 and a standard deviation of ? = 5.1. What is the probability that the mean ACT score of 50 randomly selected people will be more than 23?

a. 0

b.1

c. 0.9958

d. 0.3547

e. 0.0042

2. Micah is cooking a pork roast for his family. He wants to be sure the pork roast has an internal temperature of at least 145 degrees Fahrenheit. He uses a thermometer to measure the internal temperature at three randomly chosen places. The minimum reading in the sample is 152 degrees Fahrenheit. Identify the population, the parameter, the sample, and the statistic.

a. Population, minimum temperature of 145 degrees Fahrenheit; parameter, all pork meat; sample, three random thermometer readings; statistic, minimum sample reading of 152 degrees Fahrenheit

b. Population, all pork meat; parameter, minimum temperature of 145 degrees Fahrenheit; sample, three random thermometer readings; statistic, minimum sample reading of 152 degrees Fahrenheit

c. Population, all pork meat; parameter, minimum temperature of 145 degrees Fahrenheit; sample, minimum sample reading of 152 degrees Fahrenheit; statistic, three random thermometer readings

d. Population, three random thermometer readings; parameter, all pork meat; sample, minimum temperature of 145 degrees Fahrenheit; statistic, minimum sample reading of 152 degrees Fahrenheit

e. Population, minimum sample reading of 152 degrees Fahrenheit; parameter, all pork meat; sample, minimum temperature of 145 degrees Fahrenheit; statistic, three random thermometer readings