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nasty-shy [4]
3 years ago
7

A random sample of 145 students is chosen from a population of 4,250 students. The mean IQ in the sample is 130, with a standard

deviation of 7. Using a margin of error of 0.95%, what is the 90% confidence interval for the students' mean IQ score?
Mathematics
1 answer:
snow_tiger [21]3 years ago
7 0

Answer:

Approximately, the 90% confidence interval for the students' mean IQ score is between 129.045 - 130.956

Step-by-step explanation:

The formula to use to solve this question is called the Confidence Interval formula.

Confidence interval =

x ± z × ( σ/ (√n) )

Where:

x = the sample mean = 130

z = the z-value for 90% confidence = 1.645

σ = standard deviation = 7

n = sample size = 145

130 ± 1.645 × (7/√145)

130 ± 0.9562687005

130 - 0.9562687005 = 129.0437313

130 + 0.9562687005 = 130.9562687005

Therefore, approximately, the 90% confidence interval for the students' mean IQ score is between 129.045 - 130.956

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Step-by-step explanation:

<em>PART</em><em> </em><em>1</em><em> </em><em>:</em>

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- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

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