the sum of two numbers is 158.if we add 25 to each one of them,then the first becomes the triple of the other.what are these num
1 answer:
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Answer:
(a) Explained below.
(b) The 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).
Step-by-step explanation:
The information provided is:
n (Men who finished the marathon) = 25,221
n (Women who finished the marathon) = 12,883
Compute the proportion of men and women who finished the marathon as follows:
The combined proportion is:
(a)
The hypothesis is:
<em>H</em>₀: The rate of those who finish the marathon is the same for men and women, i.e. <em>p</em>₁ - <em>p</em>₂ = 0.
<em>Hₐ</em>: The rate of those who finish the marathon is not same for men and women, i.e. <em>p</em>₁ - <em>p</em>₂ ≠ 0.
Compute the test statistic as follows:
Compute the <em>p</em>-value as follows:
The <em>p</em>-value of the test is more than the significance level. The null hypothesis was failed to be rejected.
Thus, concluding that the rate of those who finish is the same for men and women.
(b)
Compute the 99% confidence interval for the difference between proportions as follows:
The critical value of <em>z</em> for 99% confidence level is 2.58.
Thu, the 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).
Answer:
The calculation of Mrs. Hernanadez will affect by 1.375 inches lesser.
Step-by-step explanation:
Given:
Length of the Kitchen shelf = 26 3/8 inches
Width of the Kitchen Shelf = 15 1/2 inches
Incorrect measurement of the length of the kitchen shelf = 25 inches
Solution:
The Actual length of the kitchen shelf is
But she measured as 25 inches
So the error in the measurement will be
=>Correct length of the shelf - Incorrect length of the shelf
=> - 25
Coverting the mixed fraction to fraction,
=> - 25
=> - 25
=>1.375