Question
In: Statistics and Probability
Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally...
Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.6 and standard deviation 0.78.
(a) If a random sample of 25 specimens is selected, what is the probability that the sample average sediment density is at most 3.00? Between 2.6 and 3.00? (Round your answers to four decimal places.) at most 3.00 between 2.6 and 3.00
(b) How large a sample size would be required to ensure that the probability in part (a) is at least 0.99? (Round your answer up to the nearest whole number.) specimens
Solutions
orchestra answered 2 years agoRelated Solutions
Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally...
Suppose the sediment density (g/cm) of a randomly selected
specimen from a certain region is normally distributed with a mean
of 2.65 and a standard deviation of .85.
a. If a random sample of 25 specimens is selected, what is the
probability that the sample average sediment density is more than
2.35?,
b. at most 3.0 and
c. between 2.35 and 3.00
d. How large a sample would be required to insure that the
probability in part a is at...
Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65 and standard deviation 0.88.
Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65 and standard deviation 0.88. (a) If a random sample of 25 specimens is selected, what is the probability that the sample average sediment density is at most 3.00? Between 2.65 and 3.00? (b) How large a sample size would be required to ensure that the probability in part (a) is at least 0.99? (Round your answer up to the nearest whole number.)
Suppose the following data are selected randomly from a population of normally distributed values. According to...
Suppose the following data are selected randomly from a
population of normally distributed values.
According to the U.S. Bureau of Labor Statistics, the average
weekly earnings of a production worker in July 2011 were $657.49.
Suppose a labor researcher wants to test to determine whether this
figure is still accurate today. The researcher randomly selects 56
production workers from across the United States and obtains a
representative earnings statement for one week from each. The
resulting sample average is $670.76....
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed...
Suppose a sample of 49 paired differences that have been
randomly selected from a normally distributed population of paired
differences yields a sample mean of d ¯ =5.3 d¯=5.3 and a sample
standard deviation of sd = 7.2.
(a) Calculate a 95 percent confidence interval for µd = µ1 – µ2.
Can we be 95 percent confident that the difference between µ1 and
µ2 is greater than 0? (Round your answers to 2 decimal places.)
Confidence interval = [ ,...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed...
Suppose a sample of 49 paired differences that have been
randomly selected from a normally distributed population of paired
differences yields a sample mean of d⎯⎯=4.2d¯=4.2 and a sample
standard deviation of sd = 7.6.
(a) Calculate a 95 percent confidence interval
for µd = µ1 –
µ2. Can we be 95 percent confident that the
difference between µ1 and
µ2 is greater than 0? (Round your
answers to 2 decimal places.)
Confidence interval = [ , ] ; (Click to...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed...
Suppose a sample of 49 paired differences that have been
randomly selected from a normally distributed population of paired
differences yields a sample mean of d⎯⎯=4.2d¯=4.2 and a sample
standard deviation of sd = 7.6.
(a) Calculate a 95 percent confidence interval
for µd = µ1 –
µ2. Can we be 95 percent confident that the
difference between µ1 and
µ2 is greater than 0? (Round your
answers to 2 decimal places.)
Confidence interval = [ , ] ; (Click to...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed...
Suppose a sample of 49 paired differences that have been
randomly selected from a normally distributed population of paired
differences yields a sample mean d¯ =4.6d¯ =4.6 of and a sample
standard deviation of sd = 7.6.
(a) Calculate a 95 percent confidence interval
for µd = µ1 – µ2. Can we be 95 percent confident that the
difference between µ1 and µ2 is greater than 0? (Round your
answers to 2 decimal places.)
Confidence interval = [ , ] ;...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed...
Suppose a sample of 49 paired differences that have been randomly
selected from a normally distributed population of paired
differences yields a sample mean d⎯⎯ =4.0d¯ =4.0 of and a sample
standard deviation of sd = 6.9.
(a) Calculate a 95 percent confidence interval
for µd = µ1 – µ2. Can we be 95 percent confident that the
difference between µ1 and µ2 is greater than 0? (Round your
answers to 2 decimal places.)
Confidence interval = [ , ] ;...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed...
Suppose a sample of 49 paired differences that have been
randomly selected from a normally distributed population of paired
differences yields a sample mean of d¯=4.3
and a sample standard deviation of sd =
7.2.
(a) Calculate a 95 percent confidence interval
for µd = µ1 –
µ2. (Round your answers to 2 decimal
places.)
Confidence interval = [ _____ , _____ ]; Yes or No?
(b) Test the null hypothesis
H0: µd = 0 versus the
alternative hypothesis Ha:...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed...
Suppose a sample of 49 paired differences that have been
randomly selected from a normally distributed population of paired
differences yields a sample mean d¯ =4.1 of and a sample standard
deviation of sd = 6.8. (a) Calculate a 95 percent confidence
interval for µd = µ1 – µ2. Can we be 95 percent confident that the
difference between µ1 and µ2 is greater than 0? (Round your answers
to 2 decimal places.) Confidence interval = [ 2.15 , 6.05...
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