Imagine that a researcher appropriately collects data from 100 people from a par
ID: 3173810 • Letter: I
Question
Imagine that a researcher appropriately collects data from 100 people from a particular population for variable X. He obtains a mean of 45.9 from these 100 people. He also knows that the population mean for variable x is 45 (mu = 45) with a standard deviation of 5 (sigma = 5). Using this information, compute the appropriate z statistic. For this question, please assume that all of the appropriate assumptions for a z test are met. Please report the correct z static below with two decimal places (if relevant). ______ Please refer back to your answer to question 10 and the information contained in that question. If the researcher were conducting a two-tailed hypothesis test with an alpha level of 0.05 (i.e., 5%), is the following statement true or false? Based on the two-tailed z test and the corresponding alpha level, the researcher has enough evidence to reject the null hypothesis that the two populations do not differ from one another. True FalseExplanation / Answer
10 Ans>
The Z statistic is as follows:
Z=(xbar-mu)/(sigma/sqrt N), where, xbar is sample mean, mu is population mean, sigma is population standard deviation, and N is sample size.
=(45.9-45)/(5/sqrt 100)
=1.8
11>ans
The p value corresponding to Z=1.8 is 0.0718.
Per rule, reject null hypothesis, if p value is less than 0.05. Here, p value is not less than 0.05. Therefore, the researcher fail to reject null hypothesis.
False.