Question

A random sample of n measurements was selected from a population with unknown mean μ and standard deviation σ=30 for each of the situations in parts a through d. Calculate a 95% confidence interval for μ for each of these situations. a. n=75, x=34 b. n=150, x=103 c. n=100, x=18 d. n=100, x=4.25 e. Is the assumption that the underlying population of measurements is normally distributed necessary to ensure the validity of the confidence intervals in parts a through d? Explain.

Name: a random sample of n measurements was selected from a population with unknown mean and standard deviation 30 for each of the situations in parts a through d calculate a 95 confidence interva 92896
Uploaded: 2021-11-17T05:53:26-08:00
Duration: 5 min 3 s
Channel: Ramesh Rajak
Description: a random sample of n measurements was selected from a population with unknown mean and standard deviation 30 for each of the situations in parts a through d calculate a 95 confidence interva 92896

          A random sample of n measurements was selected from a population
with unknown mean
μ
and standard deviation
σ=30
for each of the situations in parts a through d. Calculate a
95%
confidence interval for
μ
for each of these situations.
a.
n=75,
x=34
b.
n=150,
x=103
c.
n=100,
x=18
d.
n=100,
x=4.25
e. Is the assumption that the underlying population of
measurements is normally distributed necessary to ensure the
validity of the confidence intervals in parts a through d?
Explain.

Added by Angela A.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Ramesh Rajak

11/17/2021

Step 1

For a 95% confidence interval, the z-score is approximately 1.96. a. For n=75 and x=34, the 95% confidence interval is 34 ± 1.96*(30/√75) = 34 ± 6.78, or (27.22, 40.78). b. For n=150 and x=103, the 95% confidence interval is 103 ± 1.96*(30/√150) = 103 ± 4.80, or Show more…

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A random sample of n measurements was selected from a population with unknown mean μ and standard deviation σ=30 for each of the situations in parts a through d. Calculate a 95% confidence interval for μ for each of these situations. a. n=75, x=34 b. n=150, x=103 c. n=100, x=18 d. n=100, x=4.25 e. Is the assumption that the underlying population of measurements is normally distributed necessary to ensure the validity of the confidence intervals in parts a through d? Explain.