Question

# A researcher wants to estimate the mean number of novels that seniors read during their time...

A researcher wants to estimate the mean number of novels that seniors read during their time at her university. An exit survey was conducted with a random sample of 11 seniors. The results are shown below. The sample mean was 9 novels with a standard deviation of 2.366 novels.

Number of Novels 5 6 7 9 9 9 9 10 10 12 13

(a) Sketch a dot plot of the sample data. Describe the distribution of sample data.

(b) Construct and interpret a 95 percent confidence interval for the population mean number of novels read by all seniors at this university.

Number of Novels 5 6 7 9 9 9 9 10 10 12 13

a) A dot plot of the sample data,

The distribution of sample data is,

Normal distribution.

b) 95% confidence interval for population mean is given by,

= ( 7.602 , 10.398)

Interpretation:

With 95% confidence the mean number of novels that seniors read during their time at her university is between 7.602 and 10.398.

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