Question

In: Statistics and Probability

A poll was conducted that asked 1014 people how many books they had read in the...

A poll was conducted that asked 1014 people how many books they had read in the past year. Results indicated that x overbar=10.6 books and s=16.6 books. Construct a 90​% confidence interval for the mean number of books people read. LOADING... Click the icon to view the table of areas under the​ t-distribution. Construct a 90​% confidence interval for the mean number of books people read.

Solutions

Expert Solution

Given that,

= 10.6

s =16.6

n = 1014

Degrees of freedom = df = n - 1 =1014 - 1 = 1013

At 90% confidence level the t is ,

= 1 - 90% = 1 - 0.90 = 0.1

/ 2 = 0.1 / 2 = 0.05

t /2,df = t0.05,1013 = 1.646    ( using student t table)

Margin of error = E = t/2,df * (s /n)

=1.646 * ( 16.6/ 1014) = 0.8581

The 90% confidence interval estimate of the population mean is,

- E < < + E

10.6 -0.8581 < < 10.6+ 0.8581

9.7419 < < 11.4581

( 9.7419 , 11.4581)


Related Solutions

A survey was conducted that asked 1014 people how many books they had read in the...
A survey was conducted that asked 1014 people how many books they had read in the past year. Results indicated that x overbarequals14.7 books and sequals16.6 books. Construct a 95​% confidence interval for the mean number of books people read. Interpret the interval. LOADING... Click the icon to view the table of critical​ t-values. Construct a 95​% confidence interval for the mean number of books people read and interpret the result. Select the correct choice below and fill in the...
A survey was conducted that asked 1014 people how many books they had read in the...
A survey was conducted that asked 1014 people how many books they had read in the past year. Results indicated that x over bar x equals=13.6 books and s equals=16.6 books. Construct a 95​% confidence interval for the mean number of books people read. Interpret the interval. Construct a 95​% confidence interval for the mean number of books people read and interpret the result. Select the correct choice below and fill in the answer boxes to complete your choice. ​(Use...
A poll was conducted that asked 1002 people how many books they had read in the...
A poll was conducted that asked 1002 people how many books they had read in the past year. Results indicated that x overbar=10.1 books and s=16.6 books. Construct a 99​% confidence interval for the mean number of books people read. Construct a 99​% confidence interval for the mean number of books people read.
A poll was conducted that asked 1007 people how many books they had read in the...
A poll was conducted that asked 1007 people how many books they had read in the past year. Results indicated that x overbarxequals=12.9 books and s equals=16.6 books. Construct a 90​% confidence interval for the mean number of books people read.
A survey was conducted that asked 1008 people how many books they had read in the...
A survey was conducted that asked 1008 people how many books they had read in the past year. Results indicated that x overbarequals14.4 books and sequals16.6 books. Construct a 99​% confidence interval for the mean number of books people read. Interpret the interval.
A survey was conducted that asked 1008 people how many books they had read in the...
A survey was conducted that asked 1008 people how many books they had read in the past year. Results indicated that x overbarequals14.4 books and sequals16.6 books. Construct a 99​% confidence interval for the mean number of books people read. Interpret the interval.
A survey was conducted that asked 1023 people how many books they had read in the...
A survey was conducted that asked 1023 people how many books they had read in the past year. Results indicated that x over bar x equals=15.4 books and s equals=18.2 books. Construct a 95​% confidence interval for the mean number of books people read. Interpret the interval. confidence interval for the mean number of books people read and interpret the result. Select the correct choice below and fill in the answer boxes to complete your choice. ​(Use ascending order. Round...
A survey was conducted that asked 1019 people how many books they had read in the...
A survey was conducted that asked 1019 people how many books they had read in the past year. Results indicated that x overbarequals10.9 books and sequals16.6 books. Construct a 99​% confidence interval for the mean number of books people read. Interpret the interval. Construct a 99​% confidence interval for the mean number of books people read and interpret the result. Select the correct choice below and fill in the answer boxes to complete your choice. ​(Use ascending order. Round to...
A survey was conducted that asked 1016 people how many books they had read in the...
A survey was conducted that asked 1016 people how many books they had read in the past year. Results indicated that x overbar = 14.9 books and s = 16.6 books. Construct a 90​% confidence interval for the mean number of books people read. Interpret the interval.
A survey was conducted that asked 1018 people how many books they had read in the...
A survey was conducted that asked 1018 people how many books they had read in the past year. Results indicated that x overbarxequals=11.8 books and s=16.6 books. Construct a 99​% confidence interval for the mean number of books people read. Interpret the interval.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT