Question
In: Statistics and Probability
Consider a population of 300 with a mean of 55 and a standard deviation equal to...
Consider a population of 300 with a mean of 55 and a standard deviation equal to 22.
What is the probability of obtaining a sample mean of 57 or less from a sample of 35?
Solutions
Expert Solution
Solution :
Given that ,
mean = 
= 55
standard deviation = 
= 22
n = 35
= 55
= /
n = 22/
35=3.72
P(
<57 ) = P[(
-
) /
< (57-55) /3.72 ]
= P(z <0.54 )
Using z table
= 0.7054
orchestra answered 3 years agoRelated Solutions
Consider a population of 300 with a mean of 65 and a standard deviation equal to...
Consider a population of 300 with a mean of 65 and a standard
deviation equal to 25. What is the probability of obtaining a
sample mean of 67 or less from a sample of 40?
cumulative standardized normal table
round to four decimal points
For a population with a mean equal to 150 and a standard deviation equal to 25,...
For a population with a mean equal to 150 and a standard
deviation equal to 25, calculate the standard error of the mean for
the following sample sizes. a) 20 b) 40 c) 60
a) The standard error of the mean for a sample size of 20 is
.______ (Round to two decimal places as needed.)
b) The standard error of the mean for a sample size of 40 is .
______(Round to two decimal places as needed.)
c) The...
For a normal population with a mean equal to 87 and a standard deviation equal to...
For a normal population with a mean equal to 87 and a standard
deviation equal to 15, determine the probability of observing a
sample mean of 94 or less from a sample of size 18?
For a normal population with a mean equal to 81 and a standard deviation equal to...
For a normal population with a mean equal to 81 and a standard
deviation equal to 18, determine the probability of observing a
sample mean of 87 or less from a sample of size 13.
For a population with a mean equal to 250 and a standard deviation equal to 35,...
For a population with a mean equal to 250 and a standard
deviation equal to 35, calculate the standard error of the mean
for the following sample sizes.
a) 10
b) 40
c) 70
The standard error of the mean for a sample size of 10 is
The standard error of the mean for a sample size of 40 is
The standard error of the mean for a sample size of 70 is
For a normal population with a mean equal to 77 and a standard deviation equal to...
For a normal population with a mean equal to 77 and a standard
deviation equal to 14, determine the
probability of observing a sample mean of 85 or less from a sample
of size 8.
P (x less than or equal to 85) =
Consider a population having a standard deviation equal to 9.94. We wish to estimate the mean...
Consider a population having a standard deviation equal to 9.94.
We wish to estimate the mean of this population.
(a) How large a random sample is needed to
construct a 95 percent confidence interval for the mean of this
population with a margin of error equal to 1? (Round your
answer to the next whole number.)
The random sample is
units.
(b) Suppose that we now take a random sample of
the size we have determined in part a. If...
Consider a population having a standard deviation equal to 9.81. We wish to estimate the mean...
Consider a population having a standard deviation equal to 9.81.
We wish to estimate the mean of this population.
(a) How large a random sample is needed to
construct a 95 percent confidence interval for the mean of this
population with a margin of error equal to 1? (Round answer
to the next whole number.)
The random sample is _________ units.
(b) Suppose that we now take a random sample of
the size we have determined in part a. If...
Consider a population having a standard deviation equal to 9.94. We wish to estimate the mean...
Consider a population having a standard deviation equal to 9.94.
We wish to estimate the mean of this population.
(a) How large a random sample is needed to
construct a 95% confidence interval for the mean of this population
with a margin of error equal to 1? (Round your answer to
the next whole number.)
The random sample is __________ units.
(b) Suppose that we now take a random sample of
the size we have determined in part a. If...
A population has a mean of 300 and a standard deviation of 18. A sample of...
A population has a mean of 300 and a standard deviation of 18.
A sample of 144 observations will be taken. The probability that
the sample mean will be less than 303 is
0.4332
0.9772
0.9544
0.0668
None of the above
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- What 2 things happen to the melting point of a solid when an impurity is present?
- How Can Hominin Evolution be characterized as " mosaic evolution" Use examples of species from the...
- Absorption and Variable Costing Income Statements for Two Months and Analysis During the first month of...
- Mobile and wireless devices are being increasingly used in the Business Administration and Management Industry. write...
- What are the options that might be considered in relation to introducing flexible work practices? What...
- Question 2 : Aggregate Scores: Write a program that opens 2 files, quiz.txt, and hw.txt. The...
- Define the term symbiosis specifically as it applies in a biological context. Compare and contrast parasitism,...
ADVERTISEMENT