Question
In: Statistics and Probability
The mean of a population is 75 and the standard deviation is 13. The shape of...
The mean of a population is 75 and the standard deviation is 13.
The shape of the population is unknown. Determine the probability
of each of the following occurring from this population.
a. A random sample of size 32 yielding a sample mean of 76 or
more
b. A random sample of size 160 yielding a sample mean of between 74
and 76
c. A random sample of size 218 yielding a sample mean of less than
75.2
(Round all the values of z to 2 decimal places and final answers to 4 decimal places.)
Solutions
orchestra answered 2 years agoRelated Solutions
The mean of a population is 75 and the standard deviation is 12. The shape of...
The mean of a population is 75 and the standard deviation is 12.
The shape of the population is unknown. Determine the probability
of each of the following occurring from this population. a. A
random sample of size 35 yielding a sample mean of 78 or more b. A
random sample of size 150 yielding a sample mean of between 73 and
76 c. A random sample of size 219 yielding a sample mean of less
than 75.8
The mean of a population is 74 and the standard deviation is 16. The shape of...
The mean of a population is 74 and the standard deviation is 16.
The shape of the population is unknown. Determine the probability
of each of the following occurring from this population.
a. A random sample of size 32 yielding a sample
mean of 78 or more
b. A random sample of size 130 yielding a sample
mean of between 71 and 76
c. A random sample of size 219 yielding a sample
mean of less than 74.7
(Round all...
The mean of a population is 77 and the standard deviation is 14. The shape of...
The mean of a population is 77 and the standard deviation is 14.
The shape of the population is unknown. Determine the probability
of each of the following occurring from this population. Appendix A
Statistical Tables a. A random sample of size 33 yielding a sample
mean of 78 or more b. A random sample of size 130 yielding a sample
mean of between 76 and 79 c. A random sample of size 219 yielding a
sample mean of less...
The mean of a population is 77 and the standard deviation is 12. The shape of...
The mean of a population is 77 and the standard deviation is 12.
The shape of the population is unknown. Determine the probability
of each of the following occurring from this population. a. A
random sample of size 35 yielding a sample mean of 81 or more
b. A random sample of size 150 yielding a sample mean of between
76 and 80
c. A random sample of size 221 yielding a sample mean of less
than 77.2
(Round all...
The mean of a population is 74 and the standard deviation is 16. The shape of...
The mean of a population is 74 and the standard deviation is 16.
The shape of the population is unknown. Determine the probability
of each of the following occurring from this population.
a. A random sample of size 32 yielding a sample mean of 76 or
more
b. A random sample of size 130 yielding a sample mean of between
72 and 76
c. A random sample of size 220 yielding a sample mean of less
than 74.3
A variable of a population has a mean of muμ equals=75 and a standard deviation of...
A variable of a population has a mean of
muμ equals=75
and a standard deviation of
sigmaσ equals=18
a. Identify the sampling distribution of the sample mean for
samples of size
36
b. In answering part (a), what assumptions did you make about
the distribution of the variable?
c. Can you answer part (a) if the sample size is
25
instead of
36?
Why or why not?
What is the mean of the sampling distribution?
To estimate the mean of a population with unknown distribution shape and unknown standard deviation, we...
To estimate the mean of a population with unknown
distribution shape and unknown standard
deviation, we take a random sample of size 64. The sample
mean is 22.3 and the sample standard deviation is 8.8. If we wish
to compute a 92% confidence interval for the
population mean, what will be the t multiplier? (Hint: Use
either a Probability Distribution Graph or the Calculator from
Minitab.)
1. A test of reading ability has a population mean of 75 and a standard deviation...
1. A test of reading ability has a population mean of 75
and a standard deviation of 10 when given to third-graders. The
distribution is known to be approximately normally
distributed.
a. What is the probability that a student will score
above a 90? Show your calculation.
b. What test score corresponds to the 25th percentile?
Show your calculation.
Say that you selected a random sample of 40 third-grade
students from this population.
c. What is the probability that the...
QUESTION 13 A normally distributed population has a mean of 98.47 and a standard deviation of...
QUESTION 13
A normally distributed population has a mean of 98.47 and a
standard deviation of 0.45. Determine the sample avergage that is
the third quartile for samples of size 195.
Round to the nearest hundredth
QUESTION 14
A normally distributed population has a mean of 112 and a standard
deviation of 24. Determine the value of the sample average at the
25th percentile for samples of siz 140.
Round to the nearest tenth
QUESTION 15
A normally distributed population...
1. A normally distributed population has a mean of 69 and a standard deviation of 13....
1. A normally distributed population has a mean of 69 and a
standard deviation of 13. Sample averages from samples of size 24
are collected. What would be the lower end of the centered interval
that contains 95% of all possible sample averages?
Round to the nearest hundredth
2. Suppose a sample of 104 healthy children is taken from a
population with a standard deviation of 0.4 degrees Fahrenheit.
What would be sigma x-bar?
Round to the nearest thousandth
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