When 33 campers are randomly selected and surveyed, it was found that the average number that prefer to camp at the beach was 27. Assume the population standard deviation is 7.4. Construct a 95% confidence interval for the true population mean of the number of campers who prefer to camp at the beach. Give your answers to 3 decimal places. Error =

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When 33 campers
are randomly
selected and
surveyed, it was
found that the
average number
that prefer to
camp at the
beach was 27.
Assume the
population standard deviation is 7.4. Construct a 95%
confidence interval for the true population mean of the
number of campers who prefer to camp at the beach.
Give your answers to 3 decimal places.
Error =
Transcribed Image Text:When 33 campers are randomly selected and surveyed, it was found that the average number that prefer to camp at the beach was 27. Assume the population standard deviation is 7.4. Construct a 95% confidence interval for the true population mean of the number of campers who prefer to camp at the beach. Give your answers to 3 decimal places. Error =
Expert Solution
Step 1

Given Information:

Number of campers randomly selected, n =33

Avarege numple of peope prefer to camp at beach, Mean = 27

Standard deviation = 7.4

Confidence level = 95%

Step 2

Given the confidence level 95% or 0.95, the level of significance is evaluated as

α=1-0.95α=0.05

Next we obtain the critical value of α2 from the t distribution table.

Zα2=Z0.052=Z0.025

Statistics homework question answer, step 2, image 1

Z0.025=1.960

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