Is 0.65 repeating greater than or less than 13/20?
2 answers:
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Answer:
a) 0.3571
b) The p-value is 0.362007.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 1.35
Sample mean, = 1.4
Sample size, n = 26
Alpha, α = 0.01
Sample standard deviation, s = 0.7
First, we design the null and the alternate hypothesis
We use One-tailed t test to perform this hypothesis.
a) Formula:
Putting all the values, we have
b) The p-value at t-statistic 0.3571 and degree of freedom 25 is 0.362007.
a) The first integral corresponds to the area under y = f(x) on the interval [0, 3], which is a right triangle with base 3 and height 5, hence the integral is
b) The integral is zero since the areas under the curve over [3, 4] and [4, 5] are equal but opposite in sign. In other words, on the interval [3, 5], f(x) is symmetric and odd about x = 4, so
c) The integral over [5, 9] is the negative of the area of a rectangle with length 9 - 5 = 4 and height 5, so
Then by linearity, we have