6 ÷ 2 · 6 + 1 = 3/7 1.5 19
2 answers:
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Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the true mean is different from 7.1 ppm, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
Answer:
two number not included in domain are x=0 and x=-5/2
Step-by-step explanation:
Let f(x)= 5/x and g(x)=2x^2+5x
WE need to find out the excluded value in the domain of f o g
f o g is the composition of functions
f o g= f(g(x))
lets plug in g(x) in f(x)
replace 2x^2+5x in f(x)
here we have 2x^2+5x in the denominator
to find the numbers that are in domain we set the denominator =0 and solve for x
Because when denominator becomes 0 the function is undefined
x=0 and 2x+5=0 (subtract 5 on both sides)
2x= -5 (divide by 2 on both sides)
x=-5/2