Construct the indicated confidence interval
.Construct the indicated confidence interval for the population mean u using a
t-distribution
c=0.98 x=110 s=10 n=27
2. In a random sample of 25 people, the mean commute time to work was 32.9 minutes and the standard deviation was 7.1
minutes. Assume the population is normally distributed and use a t-distribution to construct a 98% confidence interval for the population mean u
.What is the margin of error of u? Interpret the results.
The confidence interval for the population mean u is _,_
3.In a survey of 3425 adults, 1435 say they have started paying bills online in the last year.
Construct a 99% confidence interval for the population proportion. Interpret the results.
A 99% confidence interval for the population proportion is _,_
4.In a survey of 6000 women, 3431 say they change their nail polish once a week. Construct a 99 %
confidence interval for the population proportion of women who change their nail polish once a week.
A 99% confidence interval for the population proportion is _,_
5.A researcher wishes to estimate, with 99% confidence, the population proportion of adults who are confident with their country’s banking system. His estimate must be accurate within 4% of the population proportion.
(a) No preliminary estimate is available. Find the minimum sample size needed.
(b) Find the minimum sample size needed, using a prior study that found that 26% of the respondents said they are confident with their country’s banking system.
(c) Compare the results from parts (a) and (b).
6.A researcher wishes to estimate, with 95% confidence, the population proportion of adults who say chocolate is their favorite ice cream flavor. Her estimate must be accurate within 3% of the population proportion.
(a) No preliminary estimate is available. Find the minimum sample size needed.
(b) Find the minimum sample size needed, using a prior study that found that 26% of the respondents said their favorite flavor of ice cream is chocolate.
(c) Compare the results from parts (a) and (b).
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