16. Thirty bottles of a certain manufacturer\'s cabernet wine were selected at r

Question

16. Thirty bottles of a certain manufacturer's cabernet wine were selected at random and analyzed for alcohol content. A 95% confidence interval for the population mean alcohol content, , of such bottles of wine is (9.92, 11.07) (a) Does the sample mean lie in the interval (9,92, 11.07) (ap) and ? Yes No Can't tell (b) Does the population mean lie in the interval (9.92, 11.07)? (1pt) an Yes No Can't tell (c) If we use a 99% confidence level, will the confidence interval calculation from the same data produce an interval narrower than (9.92, 11.07)? (1pt) dnd whu ? Yes No Can't tell

Explanation / Answer

interpretations:
1. we are 95% sure that the interval [9.92, 11.07 ] contains the true population mean
2. if a large number of samples are collected, and a confidence interval is created
for each sample, 95% of these intervals will contains the true population mean

a.
Yes, since the confidence level is calculated by using the
sample mean values.

b.
Yes, since we claim that we have 95% confidence that population mean
is lies in the interval [9.92, 11.07 ]

c.
no, since by using 99% confidence level the interval is wider
since the z tab value that used in computing the interval is
higher for 99% rather 95%

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

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