Question
In: Statistics and Probability
1)The diameters of bolts produced by a certain machine are normally distributed with a mean of...
1)The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What is the probability of selecting a bolt at random that has a diameter larger than 0.328 inches?
2)
The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches.
What is the probability that the diameter of a randomly selected pencil will be more than 0.285 inches?
3)In a standard normal distribution, what is the probability of a z-score being greater than -0.85?
Solutions
orchestra answered 2 years agoRelated Solutions
The diameters of bolts produced in a machine shop are normally distributed with a mean of...
The diameters of bolts produced in a machine shop are normally
distributed with a mean of 5.34 millimeters and a standard
deviation of 0.03 millimeters. Find the two diameters that separate
the top 8% and the bottom 8%. These diameters could serve as limits
used to identify which bolts should be rejected. Round your answer
to the nearest hundredth, if necessary
The diameters of bolts produced in a machine shop are normally distributed with a mean of...
The diameters of bolts
produced in a machine shop are normally distributed with a mean of
5.58 millimeters and a standard deviation of 0.04 millimeters. Find
the two diameters that separate the top 5%and the bottom 5%. These
diameters could serve as limits used to identify which bolts should
be rejected. Round your answer to the nearest hundredth, if
necessary.
Answer
TablesKeypad
If you would like to
look up the value in a table, select the table you want to...
The diameters of bolts produced in a machine shop are normally distributed with a mean of...
The diameters of bolts produced in a machine shop are normally
distributed with a mean of 5.67 millimeters and a standard
deviation of 0.03 millimeters. Find the two diameters that separate
the top 9% and the bottom 9%. These diameters could serve as limits
used to identify which bolts should be rejected. Round your answer
to the nearest hundredth, if necessary.
The diameters of bolts produced in a machine shop are normally distributed with a mean of...
The diameters of bolts produced in a machine shop are normally
distributed with a mean of 5.18 millimeters and a standard
deviation of 0.07 millimeters. Find the two diameters that separate
the top 3% and the bottom 3%. These diameters could serve as limits
used to identify which bolts should be rejected. Round your answer
to the nearest hundredth, if necessary.
The diameters of Red Delicious apples in a certain orchard are normally distributed with a mean...
The diameters of Red Delicious apples in a certain orchard are
normally distributed with a mean of 2.63 inches and a standard
deviation of 0.25 inches. a. What percentage of the apples in the
orchard have diameters less than 1.95 inches? b. What percentage of
the apples in the orchard have diameters larger than 2.90 inches?
c. If a crate of 200 apples is selected from the orchard,
approximately how many apples would you expect to have diameters
greater than...
The diameters (in inches) of 17 randomly selected bolts produced by a machine are listed. Use...
The diameters (in inches) of 17 randomly selected bolts
produced by a machine are listed. Use a 99%
level of confidence to construct a confidence interval for
(a) the population variance sigma squared σ2 and
(b) the population standard deviation sigmaσ.
Interpret the results.
4.466
3.805
3.945
4.419
3.772
3.755
4.022
4.247
3.847
4.325
3.976
3.806
4.008
4.154
4.472
3.786
4.573
a) The confidence interval for the population variance is( FILL
IN , FILL IN ). (Round to three decimal...
The diameters (in inches) of 17 randomly selected bolts produced by a machine are listed. Use...
The diameters (in inches) of 17 randomly selected bolts
produced by a machine are listed. Use a 90% level of confidence to
construct a confidence interval for (a) the population variance
sigma squaredσ2 and (b) the population standard deviation
sigmaσ.
Interpret the results.
4.481, 3.813, 3.969, 4.423, 3.769, 3.757, 4.005,
4.247, 3.876, 4.347, 3.932, 3.838, 4.002, 4.148
4.453, 3.792, 4.533
The diameters (in inches) of 1717 randomly selected bolts produced by a machine are listed. Use...
The diameters (in inches) of 1717
randomly selected bolts produced by a machine are listed. Use
a
9999% level of confidence to construct a confidence interval
for
(a) the population variance σ2
(b) the population standard deviation σ2
Interpret the results.
4.485
3.823
3.947
4.412
3.751
3.755
4.004
4.239
3.888
4.316
3.936
3.819
4.002
4.155
4.435
3.763
4.553
Company A packages bolts in boxes that are normally distributed with a mean of 312 bolts...
Company A packages bolts in boxes that are normally distributed
with a mean of 312 bolts and a standard deviation of 4.1 bolts.
Company B packages bolts in boxes that are normally distributed
with a mean of 288 bolts and a standard deviation of 3.9 bolts.
Which company is more likely to produce a box of exactly 300 bolts?
Explain your answer using z-scores.
The weight of an item produced on a machine is normally distributed with mean 220 g...
The weight of an item produced on a machine is normally
distributed with mean 220 g and standard deviation 5 g. Among 3500
items that are independently produced, how many of them are
expected to weigh between 215 g and 225 g?
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