Question

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.72 millimeters and a standard deviation of 0.07 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 #1

Solution :

Given that,

mean = = 5.72

standard deviation = = 0.07

i

Using standard normal table ,

P(Z > z) = 5%

1 - P(Z < z) = 0.05

P(Z < z) = 1 - 0.05

P(Z < 1.65) = 0.95

z = 1.65

Using z-score formula,

x = z * +

x = 1.65 * 0.07 + 5.72 = 5.84

ii

Using standard normal table ,

P(Z < z) = 5%

P(Z < -1.65) = 0.05

z = -1.65

Using z-score formula,

x = z * +

x = -1.65 * 0.07 + 5.72 = 5.60

The two diameters that separate 5.84 , 5.60

The diameters of bolts produced in a machine shop are normally
distributed with a mean of 6.26 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.
If you would like to look up the value in a table, select the
table you want to view,...

The lengths of nails produced in a
factory are normally distributed with a mean of 6.13 centimeters
and a standard deviation of 0.06 centimeters. Find the two lengths
that separate the top 7% and the bottom 7%. These lengths could
serve as limits used to identify which nails should be rejected.
Round your answer to the nearest hundredth, if necessary.

The lengths of nails produced in a factory are normally
distributed with a mean of 4.77 centimeters and a standard
deviation of 0.06 centimeters. Find the two lengths that separate
the top 9% and the bottom 9%. These lengths could serve as limits
used to identify which nails should be rejected. Round your answer
to the nearest hundredth, if necessary.

The lengths of nails produced in a factory are normally
distributed with a mean of 5.09 centimeters and a standard
deviation of 0.04 centimeters. Find the two lengths that separate
the top 7% and the bottom 7%
. These lengths could serve as limits used to identify which
nails should be rejected. Round your answer to the nearest
hundredth, if necessary.

The lengths of nails produced in a factory are normally
distributed with a mean of 5.13 centimeters and a standard
deviation of 0.04 0.04 centimeters. Find the two lengths that
separate the top 8% 8 % and the bottom 8% 8 % . These lengths could
serve as limits used to identify which nails should be rejected.
Round your answer to the nearest hundredth, if necessary.

The weights of certain machine components are normally
distributed with a mean of 8.45g and a standard deviation of 0.06g.
Find the two weights that separate the top 3% and the bottom 3%.
These weights could serve as limits used to identify which
components should be rejected. Round to the nearest hundredth of a
gram.

The weights of certain machine components are normally
distributed with a mean of 8.81g and a standard deviation of 0.1g.
Find the two weights that separate the top 3% and the bottom 3%.
These weights could serve as limits used to identify which
components should be rejected. Round to the nearest hundredth of a
gram.

The weights of certain machine components are normally
distributed with a mean of 8.81 g and a standard deviation of 0.1g.
Find the two weights that separate the top 3% and the bottom 3%.
These weights could serve as limits used to identify which
components should be rejected. Round to the nearest hundredth of a
gram.
A.8.59g and 9.08g
B.8.62g and 9.00g
C. 8.79 g and 8.83 g
D. 8.76g and 8.86g

The weights of certain machine components are normally
distributed with a mean of 8.46 grams and a standard deviation of
0.06 g. Find the two weights that separate the top 4% and the
bottom 4%. These weights could serveas as limits used to identify
which components should be rejected. Round to the nearest hundredth
of a gram. Draw a picture. Use table A-2.
y

The weights of certain machine components are normally
distributed with a mean of 5.195.19 ounces and a standard deviation
of 0.050.05 ounces. Find the two weights that separate the top 8%8%
and the bottom 8%8%. These weights could serve as limits used to
identify which components should be rejected.
________ ounces and ________ ounces

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 16 minutes ago

asked 26 minutes ago

asked 31 minutes ago

asked 31 minutes ago

asked 33 minutes ago

asked 37 minutes ago

asked 43 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago