Math 310, Spring 2021
Task 4
1)If I am running a study to identify whether there is a significant difference between the shopping habits of men and women, what would my null hypothesis (H0) be?What would my alternative hypothesis (HA) be?
2)According to the Central Limit Theorem, if we have a high sample size, what can we assume about the relationship between the mean of our samples and the mean of the population?What about the frequency distribution of the sample (if it is large) and the normal curve?
3)If we run a statistical test and we get a p-value of .00023, what can we say about the hypotheses (a
a)Fail to reject the null hypothesis.
b)Reject the null hypothesis.
c)Accept the alternative hypothesis.
d)We can’t make a determination about the hypotheses.
4)What percentage of values are within two standard deviations of the mean with a normal curve (two tails)?
5)In the following situation, what would be a type one error (and why)?We are studying whether there is a significant difference between the water needs of fir trees and maple trees.
a)We indicate there is not a difference and there is.
b)We indicate there is a difference and there is not.
6)The length of a human pregnancy is normally distributed with a mean of 272 days and a standard deviation of 9 days.How many days would a pregnancy last to be in the lowest 10%?(Hint, you need to use a z-score probability table to figure this out.
7)All of the stats students in our class take an exam.The mean score is 85.41% and the standard deviation is 10.8.What is the standard error of the mean?N = 22
8)Determine the area under the standard normal curve that lies between Z = -2.87 and Z = 0.