Answer:
No, the standard deviation for number of pages in a romance novel is six only.
Step-by-step explanation:
First we state our Null Hypothesis,
:
= 6
and Alternate Hypothesis,
:
> 6
We have taken these hypothesis because we have to check whether our population standard deviation is higher than what editor hypothesized of 6 pages in a romance novel.
Now given sample standard deviation, s = 9 and sample size, n = 25
To test this we use Test Statistics =
follows chi-square with (n-1) degree of freedom [
]
Test Statistics =
follows
= 54
and since the level of significance is not stated in question so we assume it to be 5%.
Now Using chi-square table we observe at 5% level of significance the
will give value of 36.42 which means if our test statistics will fall below 36.42 we will reject null hypothesis.
Since our Test statistics is more than the critical value i.e.(54>36.42) so we have sufficient evidence to accept null hypothesis and conclude that our population standard deviation is not more than 6 pages which the editor hypothesized.
For this problem, you can use the proportion 1696/x = 32/100 since 1696 is 32% (or 32/100) of an unknown number of students .
You can cross-multiply to get 32x = 169600
Then divide on both sides by 32 and get to 5300.
Answer: 5300 student applied last year.
Hope that helps!
Answer:
c. 112 ft
Step-by-step explanation:
the diagonal of a rectangle creates a right-angled triangle with a length and a width of the rectangle (the diagonal is the Hypotenuse or baseline).
and this means we can use Pythagoras :
c² = a² + b²
with c being the Hypotenuse (the baseline opposite of the 90° angle).
diagonal² = 100² + 50² = 10000 + 2500 = 12500
diagonal = sqrt(12500) = 111.8033989... ft ≈ 112 ft
B) since 1950 is between 1281 and 2796 add the two valves together and then divide them by two
Not sure of A so ..