Question

Use the given data to find the 95% confidence interval estimate of the population mean ?. Assume that the population has a normal distribution.

IQ scores of professional athletes:

Sample size ?=25

Mean ?⎯⎯⎯=106

Standard deviation ?=11

________<?__________

Answer #1

Solutions:

Gien that

n=25,

x̄=106

S=11

(1-α)%= 95%

1-α= 0.95

α= 0.05

α/2=0.025

t(α/2),(n-1)=t(0.025),(25-1)

=t(0.025),(24)=2.064..... From students t table.

Margin of error=t(α/2),(n-1) ×( S /✓n)

= (2.064)×(11/✓25)

=2.064×2.2

= 4.5408

95% confidence interval estimate of the population mean ? is given
as,

x̄ ± Margin of error=(106-4.5408 ,106+4.5408)

=(101.4592,110.5408)

Lower limit: 101.4592

Upper limit:110.5492

95% confidence interval estimate of the population mean is
101.4592<?<110.5408)

Use the given data to find the 95% confidence interval estimate
of the population mean ?.
Assume that the population has a normal distribution.
IQ scores of professional athletes:
Sample size ?=25
Mean ?⎯=104
Standard deviation ?=12
= ...<?<...

Use the given data to find the 95% confidence interval estimate
of the population mean μ. Assume that the population has a normal
distribution. IQ scores of professional athletes: Sample size n=10
Mean x¯=106 Standard deviation s=12
______<μ<________

Use the given data to find the 95% confidence interval estimate
of the population mean μ. Assume that the population has a normal
distribution. IQ scores of professional athletes: Sample size n=30
Mean x¯¯¯=103 Standard deviation s=12

Use the given degree of confidence and sample data to find a
confidence interval for the population standard deviation σ. Assume
that the population has a normal distribution. Round the confidence
interval limits to the same number of decimal places as the sample
standard deviation. A sociologist develops a test to measure
attitudes about public transportation, and 27 randomly selected
subjects are given the test. Their mean score is 76.2 and their
standard deviation is 21.4. Construct the 95% confidence...

Assume that you want to construct a 95% confidence interval
estimate of a population mean. Find an estimate of the sample size
needed to obtain the specified margin of error for the 95%
confidence interval. The sample standard deviation is given
below.
Margin of errors=$6,
standard deviation=$22
The required sample size is __

Use the given confidence level and sample data to find a
confidence interval for the population standard deviation. Assume
that the population has a normal distribution. College students'
annual earnings: 98% confidence; n = 9, sample mean = $3211, s =
$897 Please show work using Excel

Use the given confidence level and sample data to find a
confidence interval for the population standard deviation sigma .
Assume that a simple random sample has been selected from a
population that has a normal distribution.
Salaries of college professors who took a philosophy course in
college
95 % confidence; n = 91, x overbar = $65,200, s =
$16,815

Use technology and the given confidence level and sample data to
find the confidence interval for the population mean
muμ. Assume that the population does not exhibit a normal
distribution.
Weight loss on a diet: 95% confidence, n= 51, X bar= 3.0kg,
s=5.3kg
What is the confidence interval for the population mean
muμ?
Is the confidence interval affected by the fact that the
data appear to be from a population that is not normally
distributed?
A. Yes, because the population...

Use the given degree of confidence and sample data to find a
confidence interval for the population standard deviation sigma.
Assume that the population has a normal distribution. Round the
confidence interval limits to the same number of decimal places as
the sample standard deviation. To find the standard deviation of
the diameter of wooden dowels, the manufacturer measures 19
randomly selected dowels and finds the standard deviation of the
sample to be s=0.16. Find the 95% confidence interval for...

Use the given confidence level and sample data to find a
confidence interval for the population standard deviation . Assume
that a simple random sample has been selected from a population
that has a normal distribution. Salaries of college who took a
course in college
98% confidence n=81 x^-=
$65,700 s=$17,931
the table of Chi-Square critical values.
$ < standard deviation < $

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 7 minutes ago

asked 7 minutes ago

asked 19 minutes ago

asked 31 minutes ago

asked 34 minutes ago

asked 38 minutes ago

asked 42 minutes ago

asked 43 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago