Consider a scenario in which we collect a sample of 50 observations and compute
ID: 3203979 • Letter: C
Question
Consider a scenario in which we collect a sample of 50 observations and compute the sample average of 112 and sample standard deviation of 15. Based on this information, can we argue that the population average is LESS than or equal to 110 with a 90% significance level?
Question 4 options:
Yes, we can't reject the hypothesis that the population average is equal to or less than 110
We reject the hypothesis that the population average is equal to or less than 110
None of the above
Question 5 (1 point)
Consider a scenario in which we collect a sample of 100 (note, we have more observations) observations and compute the sample average of 112 and sample standard deviation of 15. Based on this information, which of the following tests will REJECT the hypothesis that the population mean is less than or equal to 110?
Question 5 options:
90% significance level
95% significance level
99% significance level
None of the above
Question 6 (1 point)
Assume that we collect the following data (see the table below). Based on this collected sample, please conduct a 95% significance level test for the hypothesis that the population average is 111.5 or greater.
Question 6 options:
The 95% significance test rejects the null hypothesis that the population average is 111.5 or greater.
The 95% significance test fails to reject the null hypothesis that the population average is 111.5 or greater.
None of the above
Yes, we can't reject the hypothesis that the population average is equal to or less than 110
We reject the hypothesis that the population average is equal to or less than 110
None of the above
Explanation / Answer
4. Here n=50 so as per central limit theorem we will use normal distribution as n>30
So as xbar =112, sd=15
H0: mu<=110 vs H1: mu>110
So z=xbar-mu/(sd/sqrt(n))=0.94
So p value is 0.17
As pvalue>0.1 (alpha) we reject the null hypothesis based on our alternative hypothesis