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 $$\overline{\mbox{x}}_1=290$$ and $$s_1 = 12$$, and another random sample of 16 gears from the second supplier results in $$\overline{\mbox{x}}_2=321$$ and $$s_2 = 22$$.
a. Is there evidence to support the claim that supplier 2 provides gears with higher mean impact strength? Use α = 0.05, and assume that both populations are normally distributed but the variances are not equal.
What is the P-value for this test?
b. Do the data support the claim that the mean impact strength of gears from supplier 2 is at least 25 foot-pounds higher than that of supplier 1? Make the same assumptions as in part (a).
c. Construct a confidence interval estimate for the difference in mean impact strength, and explain how this interval could be used to answer the question posed regarding supplier-to-supplier differences.
a. Is there evidence to support the claim that supplier 2 provides gears with higher mean impact strength? Use α = 0.05, and assume that both populations are normally distributed but the variances are not equal.
What is the P-value for this test?
b. Do the data support the claim that the mean impact strength of gears from supplier 2 is at least 25 foot-pounds higher than that of supplier 1? Make the same assumptions as in part (a).
c. Construct a confidence interval estimate for the difference in mean impact strength, and explain how this interval could be used to answer the question posed regarding supplier-to-supplier differences.
1 answer:
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Answer: The answer is: " 240 milliliters (mL) " .
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Step-by-step explanation:
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Given 16 Tablespoons ; Convert to "mL" .
Note: "milliliters" can be abbreviated as "mL" .
Note: 15 mL = 1 Tablespoon .
16 Tablespoons * () ;
= (16 * 15) mL
= 240 mL .
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The answer is: " 240 milliliters (mL) " .
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Answer:
On combining the beads they can make 20 bracelets.
Step-by-step explanation:
The number of beads Samantha has = 54 beads
Number of beads Amanda has = 2 x( Number of beads Samantha has)
= 2 x 54 = 108 beads
The total number of beads Amanda and Samantha has
= 54 beads + 108 beads
= 162 beads
Number of beads required to make 1 bracelet = 8 beads
Now,
=≈ 20
or, the total number of bracelets they can make is 20.
Hence, on combining the beads they can make 20 bracelets .