Question

A university surveyed recent graduates of the English department about their starting salaries. Four hundred graduates returned the survey. The average salary was $25,000. Assume for purposes of this problem that the population standard deviation is known, and it is $2,500. A 95% confidence interval is constructed. What does the confidence interval mean?

Group of answer choices

There is a 95% probability that the population parameter will not lie within the interval constructed using the sample's data.

The population mean is not in the interval.

The population mean is in the interval.

There is a 95% probability that the population parameter will lie within the interval constructed using the sample's data.

Answer #1

Solution:

Correct option is

There is a 95% probability that the population parameter
**will lie within the interval** constructed using the
sample's data.

Explanation:

The meaning of 95% confidence interval : 95% confidence interval means that there is 95% probability that the true population parameter will lie in the interval we constructed .

If we draw several samples of size n and we constructed the 95% confidence intervals using these samples , then 95% of these intervals will contain the true population parameter.

1- Recently, a university surveyed recent graduates of the
English Department for their starting salaries. Four hundred
graduates returned the survey. The average salary was $25,000 with
a standard deviation of $2,500.
a) What is the best point estimate of the population mean?
b) What is the 95% confidence interval for the mean salary of
all graduates from the English Department?
Please show calculations on paper. Thank you.
c) What do the confidence interval results mean?

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Multiple Choice
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6) In a study of starting salaries for nurses, I surveyed 20
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Please write out. Thank you man!

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Continuous
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4. A university surveyed recent graduates of the English
department for their starting salaries. Four hundred graduates
returned the survey. The average salary was $25,000. The population
standard deviation was $2,500. What is the 95% confidence interval
for the mean salary of all graduates from the English...

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