Question
In: Statistics and Probability
My commute to university, follows a NORMAL distribution with a 35.5 minutes as mean and a...
My commute to university, follows a NORMAL distribution with a 35.5 minutes as mean and a standard deviation of 2.5 min. If my commute starts at 8:20 am and ideally I must be at university by 9am.
Define two random variables and formulate two questions, one involving binomial distribution and the other involving geometric distribution.
Solutions
orchestra answered 1 year agoRelated Solutions
In a random sample of 8 people, the mean commute time to work was 35.5 minutes...
In a random sample of 8 people, the mean commute time to work
was 35.5 minutes and the standard deviation was 7.4 minutes. A 90%
confidence interval using the t-distribution was calculated to be
(30.5,40.5). After researching commute times to work, it was found
that the population standard deviation is 9.2 minutes. Find the
margin of error and construct a 90% confidence interval using the
standard normal distribution with the appropriate calculations for
a standard deviation that is known. Compare...
In a random sample of 8 people, the mean commute time to work was 35.5 minutes...
In a random sample of
8
people, the mean commute time to work was
35.5
minutes and the standard deviation was
7.3
minutes. A
98%
confidence interval using the t-distribution was calculated to
be
left parenthesis 27.8 comma 43.2 right
parenthesis(27.8,43.2).
After researching commute times to work, it was found that the
population standard deviation is
8.7
minutes. Find the margin of error and construct a
98%
confidence interval using the standard normal distribution with
the appropriate calculations for a...
The heights of female students at a university follows Normal distribution with a mean 66 inches...
The heights of female students at a university follows Normal
distribution with a mean 66 inches and a standard deviation 3
inches. A researcher randomly selects 36 female students from the
university, surveys their heights and calculates a sample mean.
Now suppose that the population standard deviation is unknown.
Also, the researcher calculate the sample standard deviation to be
3 inches.
a) What is the probability that the sample mean height is
between 65 inches and 67 inches?
b) Instead...
The diameter of a cylinder follows a normal distribution with the mean of 10cm and the...
The diameter of a cylinder follows a normal distribution with
the mean of 10cm and the variance of 0.04 cm^2.
a) Construct a Shewhart chart to monitor the process mean of
cylinder diameter with a sample size 9? (Use L=3)
b) If the mean of the process changes to 10.5 cm, what is the
probability that you detect this mean shift at the immediate next
sample (the first sample after the mean shift)?
c) Continue b), what is the probability...
Assume the distribution of home selling prices follows a normal distribution. for this area the mean...
Assume the distribution of home selling prices follows a normal
distribution. for this area the mean selling price is $95,140 and
the standard deviation of the selling price is $13,100.
Let S be the home selling price. For a randomly selected home
find P(S>$100,000). The answer is approx. = .6447. I just really
need to know how to set this question up in a TI-84 calculator
PLEASE! It's urgent!
The grade of statistics follows a normal distribution with a mean of 85 and a standard...
The grade of statistics follows a normal distribution with a
mean of 85 and a
standard deviation of 10. The instructor adopted a new teaching
method this year,
and would like to investigate whether there is an improvement in
students’
average grade. Suppose the average grade from a sample of 36
students is 88, can
we conclude that there is an improvement at the 5% significance
level?
A. Specify the null and alternative hypotheses.
B. Determine the rejection region.
C....
The height of females in the United States follows a normal distribution with a mean of...
The
height of females in the United States follows a normal
distribution with a mean of 65 inches and a standard deviation of 2
inches.
What height marks the median?
Suppose that the heights of male students at a university have a normal distribution with mean...
Suppose that the heights of male students at a university have a
normal distribution with mean = 65 inches and standard deviation =
2.0 inches. A randomly sample of 10 students are selected to make
up an intramural basket ball team.
i) What is the mean (mathematical expectation) of xbar?
ii) What is the standard deviation of x bar?
iii) What is the probability that the average height (x bar) of
the team will exceed 69 inches?
iv) What is...
Assume the length X of a certain unit follows the normal distribution with a mean of...
Assume the length X of a certain unit follows the normal
distribution with a mean of 50mm and a standard deviation of 5 mm.
If a random sample of 21 units is taken, find the value C such that
Probability(sample variance > C) = 0.90
assuming the length X of a certain unit follows the normal distribution with a mean of...
assuming the length X of a certain unit follows the normal
distribution with a mean of 50mm and a standard deviation of 5mm.
if a random sample of 21units is taken, find the value C such that
probability (sample variance > C)= 0.90
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