In: Statistics and Probability
If a population does not have a normal distribution, the shape of the corresponding x-bar curve will be
a. |
exactly normal |
|
b. |
approximately normal |
|
c. |
Non-normal |
|
d. |
depends on the sample size |
1 points
QUESTION 2
Ch7 Terms 5:
As sample size increases, the standard deviation of the x-bar curve
will
a. |
increase |
|
b. |
decrease |
|
c. |
remain unchanged |
|
d. |
explode |
1 points
QUESTION 3
Ch7 Terms 11 TF:
As sample size increases, the distribution of an xbar curves
becomes more and more normal in shape.
a. |
TRUE |
|
b. |
FALSE |
1 points
QUESTION 4
17 term 5:
A sample average is useful because it is identical to the
population average
a. |
TRUE |
|
b. |
FALSE |
1 points
QUESTION 5
AInv Prob percentiles 6:
Use your TI83 (or Excel):
A normally distributed population has a mean of 93 and a standard
deviation of 12. Determine the value of the sample average at the
75th percentile for samples of siz 43.
Round to the nearest tenth
2 points
QUESTION 6
sigma xbar 1:
Suppose a sample of 77 healthy adult human body temperatures is
taken from a population with a standard deviation of 0.3 degrees
Fahrenheit. What would be the sampling deviation of the sample
mean?
Round to the nearest thousandth
2 points
QUESTION 7
Prob 6 11B:
Use your TI83 (or Excel):
A certain giant tortoise has a life span that is normally
distributed with a mean age of 72 years and a standard deviation of
19 years. Determine the probability that a random sample of 37 such
tortoises has an average life span between 70 and 81 years.
Round to four decimal places.
2 points
QUESTION 8
Prob 1 11B:
Use your TI83 (or Excel):
A Test has scores that are normally distributed with a mean of 79
and a standard deviation of 14. Determine the probability that a
random sample of 31 test scores has an average greater than
77.
Round to four decimal places.
2 points
QUESTION 9
interval 5:
A normally distributed population has a mean of 90 and a standard
deviation of 19. Sample avergaes from samples of size 13 are
collected. What would be the upper end of the centered interval
that contains 95% of all possible sample averages?
Round to the nearest hundredth
2 points
QUESTION 10
Dinner app 1 ch 11B:
Use your TI83:
At a certain restaurant in Chicago, the average time it takes a
person to eat a nice dinner is 55 minutes with a standard deviation
of 20 minutes. These times are known to be normally
distributed.
To Four decimal places, what is the probability a random diner will
finish dinner in more than 54 minutes?
dear student we can provide you with 4 Multiple choice question at a time. Please post the question one at a time or accordingly.
According to the Central limit theorem that states that if a large enough sample is taken even from a not normal ddistribution (typically n > 30) then the sampling distribution of is approximately a normal distribution with a mean of and a standard deviation of .
1) hence the right answer is option d
2) the standard deviation of the is if the population standard deviation is not given is
option B is right . As the sample size increases, the standard deviation decreases.
3) according to the central limit theorem above statement is true.
4) Sample average is the point estimate for the population mean.
If the sample is a simple random sample, the sample mean is an unbiased estimate of the population mean
hence option A is right