Question

The accompanying data represent the total travel tax​ (in dollars) for a​ 3-day business trip in 8 randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts​ (a) through​ (c) below. 67.62 78.42 70.61 84.97 80.32 85.33 100.83 99.72

​(a) Determine a point estimate for the population mean travel tax.

​(b) Construct and interpret a

9595​%

confidence interval for the mean tax paid for a​ three-day business trip.

(c) What would you recommend to a researcher who wants to increase the precision of the​ interval, but does not have access to additional​ data?

Answer 1

the given data is,

a)

point estimate for the population mean travel tax is,

b)

now,

now the 95% confidence interval for mean tax paid is given by,

that is the probability that the mean tax paid for a three day business trip lies between is

c)

the researcher do not have access to additional data,to increase the precision of the interval, researcher should use 90% confidence interval.