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Two types of plastic are suitable for use by an electronic calculator manufacturer. The breaking strength...
Two types of plastic are suitable for use by an electronic calculator manufacturer. The breaking strength of the plastic is important. From random samples of n1 = 10 and n2 = 12 batches the respective means were obtained as ¯y1. = 152.5 and ¯y2. = 153.7. The total sum of square for the data was SSTotal = 31.865.
(a) Complete the following ANOVA table.
Source SS df MS F
Treatment
Error -
Total 31.865
(b) Calculate the t statistic for the appropriate two sample t test for checking the difference between the true mean of the two treatment levels.
(c) Use R to calculate exact p-values of the F-test from ANOVA and the t-test above. (d) What do you conclude? Is there a significant advantage to one plastic formulation or other at the level of α = 0.05?
Solutions
milcah answered 1 year agoRelated Solutions
Two types of plastics are suitable for use by an electronics component manufacturer. The breaking strength...
Two types of plastics are suitable for use by an electronics
component manufacturer. The breaking strength of these plastics is
very important. From a random sample size of n1=18, and
n2=16, we obtained that X1-bar=151.2,
S1=1.4 and X2-bar=152.3,
S2=1.65.
Calculate a 95% confidence interval on the ratio of
variances.
With 95% confidence, what is the right-value of the two-sided
confidence interval on the ratio of variances?
Your Answer:
Two types of plastics are suitable for use by an electronics
component...
) The breaking strength of plastic bags used for packaging produce is normally distributed, with a...
) The breaking strength of plastic bags used for packaging
produce is normally distributed, with a mean of 17 pounds per
square inch and a standard deviation of 9.5 pounds per square inch.
What proportion of the bags have a breaking strength of a. less
than 14.17 pounds per square inch? _______ b. at least 13.6 pounds
per square inch? _______ c. 95% of the breaking strengths will be
between what two values symmetrically distributed around the mean?
_______ _______...
The breaking strength of yarn supplied by two manufacturers is being investigated. We know from experience...
The breaking strength of yarn supplied by two manufacturers is
being investigated. We know from experience with the manufacturers’
processes that σ1 = 5 psi and σ2 = 4 psi. A random sample of 20
test specimens from each manufacturer results in x¯1 = 88 psi and
x¯2 = 91 psi.
(a) Show all steps (including how to find cutoff value) and
construct a two-sided 90% Confidence Interval for the true
difference in means. Draw a conclusion on whether yarn...
Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these...
Two suppliers manufacture a plastic gear used in a laser
printer. The impact strength of these gears measured in foot-pounds
is an important characteristic. A random sample of 10 gears from
supplier 1 results in x1 = 290 and s1 = 12, and another random
sample of 16 gears from the second supplier results in x2 = 292 and
s2 = 22. Do the data support the claim that the mean impact
strength of gears from supplier 2 is at...
Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these...
Two suppliers manufacture a plastic gear used in a laser
printer. The impact strength of these gears measured in foot-pounds
is an important characteristic. A random sample of 10 gears from
supplier 1 results in and s1=14 while another random
sample of 16 gears from the second supplier results
in and s2=23. Is there sufficient evidence to
conclude that the variance of impact strength is different for the
two suppliers? Use
Which one?
The variances of impact strength significantly differ at the...
Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these...
Two suppliers manufacture a plastic gear used in a laser
printer. The impact strength of these gears measured in foot-pounds
is an important characteristic. A random sample of 10 gears from
supplier 1 results in =289.30 and s1=22.5, and another random
sample of 16 gears from the second supplier results in =322.10 and
s2=21. Use only Table II of Appendix A. (a) Is there evidence to
support the claim that supplier 2 provides gears with higher mean
impact strength? Use...
The breaking strength of hockey stick shafts made of two different graphite-kevlar composites yields the following...
The breaking strength of hockey stick shafts made of two
different graphite-kevlar composites yields the following results
(in Newtons):
Composite 1:
479
505.3
471.1
488.6
467.2
483.4
491.1
481.2
480.7
484.5
470.9
480
472.6
485.4
469.1
482.2
478.2
490.7
468.1
(Note: The average and the standard deviation of the data are
respectively 480.5 Newtons and 9.6 Newtons.)
Composite 2:
506
521
474.4
496.6
517.5
506.3
511.3
486.9
499.3
466.4
507.3
527
(Note: The average and the standard deviation of the...
The breaking strength of hockey stick shafts made of two different graphite-kevlar composites yields the following...
The breaking strength of hockey stick shafts made of two
different graphite-kevlar composites yields the following results
(in Newtons):
Composite 1:
482.8
469.6
441.6
460.6
478.2
456.1
480.4
496.5
493.7
473.2
467.6
453.3
453.2
(Note: The average and the standard deviation of the data are
respectively 469.8 Newtons and 16.5 Newtons.)
Composite 2:
495.4
489.2
513
498.6
482
484
504.6
492
491.6
495
509.5
475.8
484.2
523.5
483.8
474.1
493
510.7
(Note: The average and the standard deviation of the...
Describe in maximum two sentences the plastic strain, Yield Strength, Indeterminate Structure, and Necking?
Describe in maximum two sentences the plastic strain, Yield
Strength, Indeterminate Structure, and Necking?
Wildhorse, Inc., sells two types of water pitchers, plastic and glass. Plastic pitchers cost the company...
Wildhorse, Inc., sells two types of water pitchers, plastic and
glass. Plastic pitchers cost the company $35 and are sold for $50.
Glass pitchers cost $44 and are sold for $65. All other costs are
fixed at $3,095,820 per year. Current sales plans call for 44,100
plastic pitchers and 132,300 glass pitchers to be sold in the
coming year.
Wildhorse, Inc., has just received a sales catalog from a new
supplier that is offering plastic pitchers for $33. What would...
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