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Ainat [17]
3 years ago
9

A survey was conducted that asked 1004 people how many books they had read in the past year. Results indicated that x overbarequ

als12.5 books and sequals16.6 books. Construct a 95​% confidence interval for the mean number of books people read. Interpret the interval.
Mathematics
1 answer:
melisa1 [442]3 years ago
6 0

Answer:

Step-by-step explanation:

Given that a survey was conducted that asked 1004 people how many books they had read in the past year.

Results are:

x bar =12.5

s = 16.6

n = 1004

Std error of sample = \frac{s}{\sqrt{n-1} } =\frac{16.6}{\sqrt{1003} }\\=0.524152\\=0.524

Since population std dev is not known t critical value can be used for confidence interval.

df = 1004-1 =1003

t critical = 1.96

Margin of error = 1.96(std error) =1.027

Confidence interval lower bound = 12.5-1.027 = 11.473

Upper bound = 12.5+1.027 = 13.527

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