Question
In: Statistics and Probability
CRA CDs Inc. wants the mean lengths of the “cuts” on a CD to be 135...
CRA CDs Inc. wants the mean lengths of the “cuts” on a CD to
be 135 seconds (2 minutes and 15 seconds). This will allow the disk
jockeys to have plenty of time for commercials within each
10-minute segment. Assume the distribution of the length of the
cuts follows a normal distribution with a standard deviation of
eight seconds. Suppose that we select a sample of 16 cuts from
various CDs sold by CRA CDs Inc.
What can we say about the shape of the distribution of the
sample mean?
What is the standard error of the mean?
What percentage of the sample means will be greater than 140
seconds?
What percentage of the sample means will be greater than 128
seconds?
What percentage of the sample means will be greater than 128
but less than seconds?
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orchestra answered 1 year agoRelated Solutions
CRA CDs Inc. wants the mean lengths of the “cuts” on a CD to be 128...
CRA CDs Inc. wants the mean lengths of the “cuts” on a CD to be
128 seconds (2 minutes and 8 seconds). This will allow the disk
jockeys to have plenty of time for commercials within each
10-minute segment. Assume the distribution of the length of the
cuts follows a normal distribution with a standard deviation of
nine seconds. Suppose that we select a sample of 18 cuts from
various CDs sold by CRA CDs Inc. Use Appendix B.1 for...
The lengths of lumber a machine cuts are normally distributed with a mean of 104 inches...
The lengths of lumber a machine cuts are normally distributed
with a mean of
104
inches and a standard deviation of
0.6
inch.(a) What is the probability that a randomly selected board
cut by the machine has a length greater than
104.14
inches?(b) A sample of
42
boards is randomly selected. What is the probability that their
mean length is greater than
104.14
inches?
(a) The probability is
The lengths of lumber a machine cuts are normally distributed with a mean of 106106 inches...
The lengths of lumber a machine cuts are normally distributed
with a mean of
106106
inches and a standard deviation of
0.40.4
inch.(a) What is the probability that a randomly selected board
cut by the machine has a length greater than
106.15106.15
inches?(b) A sample of
3535
boards is randomly selected. What is the probability that their
mean length is greater than
106.15106.15
inches?
(a) The probability is
nothing.
(Round to four decimal places as needed.)
The lengths of lumber a machine cuts are normally distributed with a mean of 99 inches...
The lengths of lumber a machine cuts are normally distributed
with a mean of 99 inches and a standard deviation of 0.5 inch. (a)
What is the probability that a randomly selected board cut by the
machine has a length greater than 99.11 inches? (b) A sample of
44 boards is randomly selected. What is the probability that their
mean length is greater than 99.11 inches?
A researcher wants to test whether the mean lengths of two species of trout are the...
A researcher wants to test whether the mean lengths of two
species of trout are the same. He obtains the weights of 10
individuals of species A and 10 individuals of species B. The
sample mean weights are 12.3 kg and 14.3 kg, respectively, and the
sample variances are 3.5 kg2 and 4.5kg2.
Assume that the lengths are normally distributed.
a. Should we retain the hypothesis that the population variances
are equal?
b. Should we retain the hypothesis that the...
The table below shows the lengths of some randomly chosen CDs in John’s very large collection....
The table below shows the lengths of some randomly chosen CDs in
John’s very large collection. Give the 92% confidence interval for
the population mean, assuming that the population is approximately
normally distributed. Round the endpoints to two decimal
places.
69.33
74.64
65.28
61.01
38.52
69.07
40.01
42.14
41.52
56.76
58.14
70.80
39.21
71.36
46.94
52.90
56.16
41.01
56.57
60.97
64.62
69.12
66.58
58.26
62.79
Confidence interval: ( , )
John measured the total playing time of 30 randomly chosen...
The table below shows the lengths of some randomly chosen CDs in John’s very large collection....
The table below shows the lengths of some randomly chosen CDs in
John’s very large collection. Give the 92% confidence interval for
the population mean, assuming that the population is approximately
normally distributed. Round the endpoints to two decimal
places.
69.33
74.64
65.28
61.01
38.52
69.07
40.01
42.14
41.52
56.76
58.14
70.80
39.21
71.36
46.94
52.90
56.16
41.01
56.57
60.97
64.62
69.12
66.58
58.26
62.79
Confidence interval:
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(give answer to TWO places past decimal)
1. Construct a 99% confidence interval for μ: Lower Bound?,
Upper Bound: ？
2. Perform a hypothesis test to see if the population mean
length is more than 50 centimeters (HA : μ > 50) at the
significant level α = 0.05:
Compute the test statistic:_____
Indicate the...
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Suppose Bethany buys both CDs and video games. The price of a CD is $15 and the price of a video game is $30.
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