In the figure below, m
2 answers:
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Answer:
40
Step-by-step explanation:
The figure is a rectangular prism, so the formula would be Volume = length x width x height.
length = 6 cm
width = 2 cm
height = 2 cm
If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 cm x 2
cm x 2
cm.
Without a calculator, I would first turn the mixed numbers into improper fractions.
- 6
=
- 2
Volume = x
x
When you multiply everything together you should get .
As a mixed number, that would be 40
.
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.