Question
In: Statistics and Probability
A random sample of size 23 is drawn from a population with mean 460 and SD...
A
random sample of size 23 is drawn from a population with mean 460
and SD unkown. The sample average and SD(s) are 465 and 13,
respectively. find the probability that another sample average will
be more than 465 .
1. 0.10
2. 0.01
3. 0.005
4. 0.05
Solutions
Expert Solution
Answer
Let the sample size , n=23
Sample mean, x = 465
Population mean, 
Sample standard deviation, s =13.
The z-score can be calculated as ,
The z-table is used to find the required probability. The z-table is shown as :
As from the question, the probability that another sample average will be more than 465 can be calculated as:
The answer is closed to 0.05.
So, the required probability that another sample average will be more than 465 is 0.05. The correct option is 4th option.
orchestra answered 2 years agoRelated Solutions
A sample of size 23 will be drawn from a population with mean 136 and standard...
A sample of size
23
will be drawn from a population with mean
136
and standard deviation
24
.
(a) Is it appropriate to use the normal distribution to find
probabilities for
x
?
(b) If appropriate find the probability that
x
will be less than
118
.
(c) If appropriate find the
80th
percentile of
x
.
A sample of size 23 will be drawn from a population with mean 136 and standard...
A sample of size
23
will be drawn from a population with mean
136
and standard deviation
24
.
(a) Is it appropriate to use the normal distribution to find
probabilities for
x
?
(b) If appropriate find the probability that
x
will be less than
118
.
(c) If appropriate find the
80th
percentile of
x
.
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[You may find it useful to reference the z
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