A kitchen sink has a volume of 1800 cubic inches.What is the volume of a similar sink that is larger by a scale factor of 2
1 answer:
Answer:
14400 cubic inches.
Step-by-step explanation:
Let l, b and h are length, breadth and height of a cuboid respectively, then
If another cuboid is larger by a scale factor of k, then kl, kb and kh are length, breadth and height of new cuboid respectively.
...(i)
It is given that a kitchen sink has a volume of 1800 cubic inches and a similar sink is larger by a scale factor of 2.
Substitute k=2 and V=1800 in equation (i).
Therefore, the volume of required sink is 14400 cubic inches.
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Answer:
The sample does not contradicts the manufacturer's claim.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 200 mg
Sample mean, = 211.5 mg
Sample size, n = 20
Alpha, α = 0.05
Sample standard deviation, s = 18.5 mg
a) First, we design the null and the alternate hypothesis for a two tailed test
We use Two-tailed t test to perform this hypothesis.
b) Formula:
Putting all the values, we have
c) Now,
Since, the calculated t-statistic does not lie in the range of the acceptance region(-2.0930,2.0930), we reject the null hypothesis.
Thus, the sample does not contradicts the manufacturer's claim.
d) P-value = 0.011934
Since the p-value is less than the significance level, we reject the null hypothesis and accept the alternate hypothesis.
Yes, both approach the critical value and the p-value approach gave the same results.