Answer:
a) Mean = 0.75
b) Standard error = 0.051
c) Yes
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 50
Sample proportion , p = 0.15
a) Mean

b) Standard error

c) Application of central limit theorem
Since the sample size is larger than 30, we cam apply central limit theorem for normal approximation.
ANSWER: The expression that represents the volume of the cone written in terms of π is: 18π in^3
1. In this problem, the variable x represents how many pounds of hamburger meat you're buying. So, to solve the expression, just replace x with how much you're buying, in this case, 7.
2.50x Plug in 7 pounds for x
2.50(7) Multiply
17.50
You will pay $17.50 for 7 pounds of hamburger meat.
2. 8 times (8 x) the product (multiplication) of g and h.
The product of g and h means you multiply them, so it will be gh. Then, you'll multiply that by 8 and get 8gh. So, the correct answer is choice B.
Answer:
19.2
Step-by-step explanation:
To find 6 percent of 320, just multiply 6 by 320 and divide it by a hundred. We would end up with the equation:

If we do the math, we will end up with 19.2
Answer:
It is not reasonable that the state education department claims the percentage for the entire state is 73%.
Step-by-step explanation:
We are given that 191 of the 288 high school students surveyed at a local school said they went outside more during school hours as elementary school students than they do now as high school students.
Firstly, the pivotal quantity for finding the confidence interval for the population proportion is given by;
P.Q. =
~ N(0,1)
where,
= sample proportion of high school students who went outside more during school hours as elementary school students than they do now as high school students =
= 0.66
n = sample of high school students = 288
p = population percentage for the entire state
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Here for constructing a 90% confidence interval we have used a One-sample z-test for proportions.
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The margin of error is given by;
M.E. = 
= 
M.E. = 0.056 or 5.6%
So, the confidence interval so formed = 
= [
]
= [0.604, 0.716]
Since the above interval does not include 0.73 or the population proportion of 73% falls outside the above interval. So, it is not reasonable that the state education department claims the percentage for the entire state is 73%.