The length of the 2 black rods is equal to that of the 3 grey rods. The length of the white rod is equal to the total length of
the 2 black and 3 grey rods as shown in the figure.
Therefore the length of the grey rod is ______ the length of the white rod.
Which of these can come in the blank above?
a)/
b) /
c) /
d) /3
Help❤️^^
Therefore the length of the grey rod is ______ the length of the white rod.
Which of these can come in the blank above?
a)/
b) /
c) /
d) /3
Help❤️^^
1 answer:
Answer:
Length of grey rod is th of the white rod.
Step-by-step explanation:
Let the length of each black rod = b units
Length of 2 black rods = 2b
Length of each grey rod will be = g units
Length of 3 grey rods = 3g
Since, length of 2 black rods = length of 3 grey rods
2b = 3g ----- (1)
Length white rod = Length of 2 black rods + Length of 3 grey rods
w = 2b + 3g
From the equation (1),
w = 2b + 2b
= 4b
b =
Therefore, length of grey rod is th of the white rod .
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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.