4· [12 points] Let denote the mean alcohol content for the population of all bot

Question

4· [12 points] Let denote the mean alcohol content for the population of all bottles of a certain brand of cough syrup. Suppose that a random sample of 50 bottles of this brand is selected and the alcohol content of each bottle is measured. Suppose that the data is used to calculate a 95% confidence interval for estimating and that interval ranges from 7.8 to 9.4. [3 points each] (a) would a 90% confidence interval, calculated from the same sample, be longer or shorter than the given interval? larger sample be longer or shorter than the interval given above? 9.4." Is this statement correct? Why or why not? an alcohol content between 7.8 and 9.4." Is this statement correct? Why or why not? (b) If the sample consisted of 75 bottles, would the 95% confidence interval based on the (c) Consider the following statement: "There is a 95% chance that is between 7.8 and (d) Consider the following statement: "95% of all bottles of this brand of cough syrup have

Explanation / Answer

A. We know that level of significance increases, width of confidence interval decreases. Hence 90% confidence interval would be narrower.

B. As sample size increases, standard error falls so when n=75, confidence interval would be narrower.

C. Incorrect. This is a false interpretation of 95% confidence interval.

Correct would be - We are 95% confident that the true value of mean would lie between this interval.

D. Yess this is correct.

Answers

TY!

Related Questions

Navigate

• Browse (All)
• Browse 4
• Subjects

---

---

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