Suppose the mean IQ score of people in a certain country is 100. Suppose the dir

Question

Suppose the mean IQ score of people in a certain country is 100. Suppose the director of a college obtains a simple random sample of 39 students from that country and finds the mean IQ is 103.9 with a standard deviation of 13.5. Complete parts (a) through (d) below. significa a Consider the hypotheses Ho = 100 versus H1 : > 100. Explain what the director is testing. Perform the test at the -001 e el conclusion for the test. ce rite a Explain what the director is testing. Choose the correct answer below. O A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not greater than 100 O B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 100 C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 100. 0 D. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 100. Find the test statistic for this hypothesis test. 1.80 (Round to two decimal places as needed.) Find the P-value for this hypothesis test. 0.0798 (Round to three decimal places as needed.) Write a conclusion for the test. Choose the correct answer below A. Do not reject Ho . There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 100 at the = 0.01 level of significance Reject Ho There is not sufficient evidence to conclude that the mean Do not relect Hn. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 100 at the =0.01 level of O B C. score of people in the country is greater than 100 at thea-001 e of Significance

Explanation / Answer

Ans:

Right tailed test

Option C is correct.

Test statistc:

t=(103.9-100)*sqrt(390/13.5=1.80

df=39-1=38

p-value(right tailed)=tdist(1.80,38,1)=0.040

As,p-value>0.01,we Do not reject H0.

Option A is correct.

c)

Option D is correct.

Test statistc:

t=(103.9-102)*sqrt(39)/13.5=0.88

df=39-1=38

p-value(right tailed)=tdist(0.88,38,1)=0.192

As,p-value>0.01,we Do not reject H0.

Option B is correct.

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.