Tim has read 10% of a book. He has 45 more pages to finish. How many pages are there in the book?
1 answer:
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Answer:
B. 2106 pi mm³
Step-by-step explanation:
the solution is attached,
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Answer:
a-1) Reject H0 if zcalc > 1.645
a-2)
a-3) ii. False
b) ii. No
c) iii. n π > 10 and n(1 − π ) > 10
Step-by-step explanation:
1) Data given and notation
n=114 represent the random sample taken
X=36 represent the people that were issued to a single-earner family or individual
estimated proportion of people that were issued to a single-earner family or individual
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
(a-1) H0: π ≤ .28 versus H1: π > .28. Choose the right option. Reject H0 if zcalc > 1.645 Reject H0 if zcalc < 1.645 a b
We need to conduct a hypothesis in order to test the claim that the true proportion is less than 0.28.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value
.
The rejection zone would be on this case :
Reject H0 if zcalc > 1.645
Since is a right tailed test
(a-2) Calculate the test statistic. (Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.) Test statistic
Since we have all the info requires we can replace in formula (1) like this:
(a-3) The null hypothesis should be rejected.
False, since our calculated value is less than our critical value we Fails to reject the null hypothesis
(b) Is this a close decision?
False the calculated value is significantly less than the critical value so we FAIL to reject the null hypothesis with enough confidence.
(c) State any assumptions that are required.
In order to satisfy the conditions we need the following two requirements:
iii. n π > 10 and n(1 − π ) > 10
And are satisfied:
114*0.28=31.92>10
114(1-0.28)=82,08>10
Answer:
False
Step-by-step explanation:
In this case, i woudnt reccomend to use integration by parts, becuase you are not simplifying the expression by doing an integration and a derivation. It is not easy to integrate 1/x³+1, and if you derivate it, then a natural logarithm would appear, and the integral wont be easier after this parts step.
It is a better idea to use integration by substitution. Note that if you replace x³+1 by a variable y, we have that dy = 3x² dx. We can easily make a 3xdx appear in the integral by multiplying and dividing by 3, solving the integral easily:
(Note that, if x ranges from 0 to 1, then u = x³+1 ranges from 0³+1 = 1 to 1³+1 = 2)