A can of corn is shaped like a cylinder. The radius of the can is 5 inches and the height of the can is 8 inches. Which measurem
2 answers:
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Answer:
a) ii. This is a left-tailed test.
b) -1.59
c) -1.301
d) i. reject null hypothesis
e) Option i) The data supports the claim that college students get less sleep than the general population.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 7 hours
Sample mean, = 6.87 hours
Sample size, n = 45
Alpha, α = 0.10
Sample standard deviation, s = 0.55 hours
First, we design the null and the alternate hypothesis
a) We use one-tailed(left) t test to perform this hypothesis.
b) Formula:
Putting all the values, we have
c) Now,
Since,
d) We fail to accept the null hypothesis and reject it.
We accept the alternate hypothesis and conclude that mean number of hours of sleep for all college students is less than 7 hours.
e) Option i) The data supports the claim that college students get less sleep than the general population.
Answer: The answer is 300 gallons.
Step-by-step explanation: Riemann sum is a method of calculating the total area under a curve on a graph, which is also known as Integral.
To calculate that area, we divide it into a number of rectangles with one point touching the curve. The curve has a closed interval [a,b] that can be subdivided into n subintervals, each having a width of Δ =
If a function is defined on the closed interval [a,b] and is any point in [
,
], then a Riemann Sum is defined as ∑f(
)Δ
.
For this question:
Δ =
= 1.4
Now, we have to find s(t) for each valor on the interval:
s(t) = 0.29 - t +25
s(0) = 25
s(1) = 24.29
s(2) = 24.16
s(3) = 24.61
s(4) = 25.64
s(5) = 27.25
s(6) = 29.44
s(7) = 32.21
Now, using the formula:
∑f()Δ
= 1.4(25+24.29+24.16+24.61+25.64+29.44+32.21)
∑f()Δ
= 1.4(212.6)
∑f()Δ
≅ 300
With Riemann Sum, it is estimated the total country's per capita sales of bottled water is 300 gallons.