Reference no: EM132190133
(1) Round to 4 decimal places. The area to the right of 1.88 under Student's t-curve with 12 degrees of freedom is
Numeric Answer: __________
(2) Students at a certain college claim that the average distance students commute to campus is 26 miles per day. To check this claim, a random sample of 16 students is selected and their commuting distance is recorded. The average in the sample is 29 miles and the SD is calculated to be 8 miles. We want to test the hypotheses H_0: mu = 26
H0
?:μ=26 vs. H_a: mu neq 26
Ha
?:μ?
?=26. What is the test statistic? Round to 4 decimal places.
Numeric Answer: __________
(3) Students at a certain college claim that the average distance students commute to campus is 26 miles per day. To check this claim, a random sample of 16 students is selected and their commuting distance is recorded. The average in the sample is 29 miles and the SD is calculated to be 8 miles. We want to test the hypotheses H_0: mu = 26
H0
?:μ=26 vs. H_a: mu neq 26
Ha
?:μ?
?=26. What is the p-value? Round to 4 decimal places.
Numeric Answer: __________
(4) If I want to test the null hypothesis that the population mean is 100 versus the alternative that the population mean is greater than 100 and I get a sample mean of 105, which one of the following statements is true?
A.I cannot reach a conclusion because I do not know the standard deviation or the sample size.
B.I should reject null hypothesis
C.I should not reject the null hypothesis
D.I should reject the null hypothesis only if the sample size is larger than 30