Question
In: Statistics and Probability
A certain stainless steel powder is supposed to have a mean particle diameter of 19 µm....
A certain stainless steel powder is supposed to have a mean particle diameter of 19 µm. A random sample of 87 particles had a mean diameter of 19.4 µm. It is known that the population has a standard deviation of 1.8 µm. Is there evidence that the mean particle diameter is not 19?
(a) State the appropriate null and alternative hypotheses.
(b) Compute the test statistic.
(c) Compute the p-value.
(e) Does the 90% confidence interval contain 19? Explain without computing.
(f) Does the 95% confidence interval contain 19? Explain without computing.
(g) Does the 99% confidence interval contain 19? Explain without computing.
Solutions
orchestra answered 2 years agoRelated Solutions
The diameters of steel shafts produced by a certain manufacturing process should have a mean diameter...
The diameters of steel shafts produced by a certain
manufacturing process should have a mean diameter of 0.255 inches.
The diameter is known to have a standard deviation of 0.0001 inch.
A random sample of 10 shafts was performed and the average diameter
was 0.2545 inch.
a. Set up appropriate hypotheses on the mean
b. Test these hypotheses using α = 0.05 and α = 0.1. What are
your conclusions?
c. Find the P-value for this test.
d. Construct a...
The diameters of steel shafts produced by a certain manufacturing process should have a mean diameter...
The diameters of steel shafts produced by a certain
manufacturing process should have a mean diameter of 5.5 inches.
The diameter is known to have a standard deviation of 0.9 inches. A
random sample of 30 shafts.
(a) Find a 90% confidence interval for the mean diameter to
process.
(b) Find a 99% confidence interval for the mean diameter to
process.
(c) How does the increasing and decreasing of the significance
level affect the confidence interval? Why?
Please explain and...
The diameters of steel shafts produced by a certain manufacturing process should have a mean diameter...
The diameters of steel shafts produced by a certain
manufacturing process should have a mean diameter of 0.218 inches.
The diameter is known to have a standard deviation of = 0.0003
inch. A random sample of 40 shafts has an average diameter of
0.2455 inches.
a/ Test these hypotheses using α= 0.02, α= 0.05, and α= 0.09
b/ Comparing the data above. Does the results of your hypothesis
testing change when you changed α? Explain.
Please show your work and...
The following are the load and gage lengths from a stainless steel. The diameter of the...
The following are the load and gage lengths from a stainless
steel. The diameter of the bar is 0.506 inch. Plot engineering
stress versus engineering strain for the data shown. Find the 0.2%
offset yield strength for this steel.
Gage length (mm)
Load (N)
50.8
0
50.8102
4.590x103
50.8203
9.779x103
50.8305
14.670x103
50.8406
19.560x103
50.8508
24.450x103
50.861
27.620x103
50.8711
29.300x103
50.9016
32.680x103
50.927
33.950x103
50.9524
34.580x103
50.9778
35.220x103
51.0032
35.720x103
51.816
40.540x103
53.34
48.390x103
55.88
59.030x103
58.42
65.870x103
60.96
69.420x103...
A manufacturer makes steel rods that are supposed to have a mean length of 50 cm....
A manufacturer makes steel rods that are supposed to have a mean
length of 50 cm. A retailer suspects that the bars are running
short. A sample of 40 bars is taken and their mean length is
determined to be 49.4 cm with a standard deviation of 3.6 cm. Test
the retailer’s claim that the mean length is less than 50 cm. Use a
one percent level of significance.
1. What test should be used for this problem?
2. What...
3. A stainless steel sphere of thermal conductivity 16 W/m · K with a diameter of...
3. A stainless steel sphere of thermal conductivity 16 W/m · K
with a diameter of 4 cm is exposed to a convective environment of
15 W/m2 · K, 20?C. Heat is generated uniformly in the sphere at a
rate of 1.0 MW/m3 . Determine the steady-state temperature of the
sphere at its center and its surface. Also determine the heat flux
at a radius of 1.5 cm.
9. A stainless steel tube having an outside diameter of 0.6 cm and a wall thickness...
9. A stainless steel tube having an outside diameter of 0.6 cm
and a wall thickness of 0.05 cm is to be insulated with a material
having a thermal conductivity of 0.065 W/mK. If the inner and outer
convective heat transfer coefficients are 5.9 W/m2K.
what will be the heat loss per meter of length for insulation
thicknesses of 0, 0.25, 0.5, 0.75, 1.00, and 1.25 cm if the inside
temperature is 95 C and the outside temperature is 10...
As part of a heat treatment process, cylindrical, 304 stainless steel rods of 100-mm diameter are...
As part of a heat treatment process, cylindrical, 304 stainless
steel rods of 100-mm diameter are cooled from an initial
temperature of 500ºC by suspending them in an oil bath at 25ºC. If
a convection coefficient of 500 W/m2·K is maintained by
circulation of the oil, how long does it take for the centerline of
a rod to reach a temperature of 52ºC, at which point it is
withdrawn from the bath? If 9 rods of length 1 m are...
As part of a heat treatment process, cylindrical, 304 stainless steel rods of 100 mm diameter...
As part of a heat treatment process, cylindrical, 304 stainless
steel rods of 100 mm diameter are cooled from an initial
temperature of 500°C by suspending them in an oil bath at 30°C. If
a convection coefficient of 500 W/m2K is maintained by circulation
of the oil, how long does it take for the centerline of a rod to
reach a temperature of 50°C, at which point it is withdrawn from
the bath? If 10 rods of length L =...
6. Water steadily enters an extremely thin 100 m stainless steel pipe with a diameter of...
6. Water steadily enters an extremely thin 100 m stainless steel
pipe with a diameter of 10 cm at a mass flow rate of 31.4 kg/s at
80 °C at 100 kPa. The convection heat transfer coefficient between
the ambient air (20 °C) and water pipe is ℎ = 120 ?/(?^2)?. You can
ignore the heat loss by radiation and assume the temperature of the
water and pipe surface are almost same but the temperature
Difference is very small but...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Case 7 of the textbook examines the rise of Wal-Mart as a corporate bohemoth. One of...
- The type of listening that involves trying to understand a situation from the speaker’s perspective is...
- Based on the loanable funds theory, explain how each of the following changes should impact interest...
- research paper: each student will be responsible for writing an argumentative research paper discussion a topic...
- In java based on the classes provided finish the program per the requirements: ----------------------------------------------Class1 package cardgame;...
- Identify two cultures and analyze the nurturing process within each culture and discuss the impact the...
- Digital security is an increasing concern is the Internet age. In order to protect sensitive information...
ADVERTISEMENT