Question
In: Statistics and Probability
A machine produces 3-inch nails. A sample of 10 nails is obtained and the lengths determined....
A machine produces 3-inch nails. A sample of 10 nails is obtained and the lengths determined. After some calculation, the sample mean is 2.99 and the sample standard deviation is 0.09. Find a 90% confidence interval for the population mean length of nails produce by the machine. Please input the upper limit of the confidence interval.
Solutions
orchestra answered 2 years agoRelated Solutions
A machine at Katz Steel Corporation makes 3-inch-long nails. The probability distribution of the lengths of...
A machine at Katz Steel Corporation makes 3-inch-long nails. The
probability distribution of the lengths of these nails is
approximately normal with a mean of 3 inches and a standard
deviation of 0.08 inch. The quality control inspector takes a
sample of 16 nails once a week and calculates the mean length of
these nails. If the mean of this sample is either less than 2.96
inches or greater than 3.04 inches, the inspector concludes that
the machine needs an...
A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the lengths of...
A machine at Katz Steel Corporation makes 5-inch-long nails. The
probability distribution of the lengths of these nails is
approximately normal with a mean of 5 inches and a standard
deviation of 0.08 inch. The quality control inspector takes a
sample of 16 nails once a week and calculates the mean length of
these nails. If the mean of this sample is either less than 4.95
inches or greater than 5.05 inches, the inspector concludes that
the machine needs an...
A machine at Katz Steel Corporation makes 4-inch-long nails. The probability distribution of the lengths of...
A machine at Katz Steel Corporation makes 4-inch-long nails. The
probability distribution of the lengths of these nails is
approximately normal with a mean of 4 inches and a standard
deviation of 0.08 inch. The quality control inspector takes a
sample of 25 nails once a week and calculates the mean length of
these nails. If the mean of this sample is either less than 3.95
inches or greater than 4.05 inches, the inspector concludes that
the machine needs an...
A machine at Katz Steel Corporation makes 4-inch-long nails. The probability distribution of the lengths of...
A machine at Katz Steel Corporation makes 4-inch-long nails. The
probability distribution of the lengths of these nails is
approximately normal with a mean of 4 inches and a standard
deviation of 0.10 inch. The quality control inspector takes a
sample of 16 nails once a week and calculates the mean length of
these nails. If the mean of this sample is either less than 3.96
inches or greater than 4.04 inches, the inspector concludes that
the machine needs an...
A random sample of 10 batteries is obtained. It is determined that the mean life is...
A random sample of 10 batteries is obtained. It is determined
that the mean life is 5 hours, with a sample standard deviation of
1 hour.
A)Find the 95% confidence interval (CI) for the unknown mean of
the population.
B)Interpret the meaning of the confidence interval.
The following sample of lengths was taken from 8 nails off the assembly line. Construct the...
The following sample of lengths was taken from 8 nails off the
assembly line. Construct the 90% confidence interval for the
population variance for all nails that come off the assembly line.
Round your answers to two decimal places.
19.3,19.1,19.6,19.7,19.1,19.2,19.0,19.0
Lower Endpoint: ??? and Upper Endpoint: ???
A) Machine A produces an average of 10% of defective parts. Machine B produces on average...
A) Machine A produces an average of 10% of defective parts.
Machine B produces on average twice as many defective parts as
machine A. Machine C produces on average three times more defective
parts than machine B. Here are 8 bags of parts from A, 2 bags of
parts from B and 1 bag of coins from C. We randomly take a coin
from one of the bags itself also taken at random. She is
defective.
1. What is the...
Exercises for Probability Exercise 2-17 Evertight, a leading manufacturer of quality nails, produces 1-, 2-, 3-,...
Exercises for Probability
Exercise 2-17
Evertight, a leading manufacturer of quality nails, produces 1-,
2-, 3-, 4-, and 5-inch nails for various uses. In the production
process, if there is an over- run or the nails are slightly
defective, they are placed in a common bin. Yesterday, 651 of the
1-inch nails, 243 of the 2-inch nails, 41 of the 3-inch nails, 451
of the 4-inch nails, and 333 of the 5-inch nails were placed in the
bin.
What is...
A tool-and-die machine shop produces extremely high-tolerance spindles. The spindles are 18-inch slender rods used in...
A tool-and-die machine shop produces extremely high-tolerance
spindles. The spindles are 18-inch slender rods used in a variety
of military equipment. A piece of equipment used in the manufacture
of the spindles malfunctions on occasion and places a single gouge
somewhere on the spindle. However, if a defective spindle can be
cut so that it has 14 consecutive inches without a gouge, then it
can be salvaged for other purposes. Assume that the location of the
gouge along a defective...
A machine produces metal pieces that are cylindrical in shape. A sample of these pieces is...
A machine produces metal pieces that are cylindrical in shape. A
sample of these pieces is taken and the diameters are found to be
1.02, 0.95, 1.03, 1.07, 0.98, 0.98, 0.99, 1.01, and 1.06
centimeters. Compute the sample mean x, the sample standard
deviation s and the median of the sample. Determine the 95%
confidence interval for the mean. Assume an approximately normal
distribution for the diameter random variable. (Hint: Use the
t–distribution.)
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