There are 20 students in Lolana's homeroom. Two bring their lunch to school. The rest eat lunch in the cafeteria. In simplest fo
1 answer:
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Answer:
a)
The degrees of freedom are given by:
The critical value for this case is since the calculated value is higher than the critical we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 18.4
b)
Step-by-step explanation:
Information given
represent the sample mean
represent the sample standard deviation
sample size
represent the value to verify
represent the significance level
t would represent the statistic
represent the p value
Part a
We want to test if the true mean is higher than 17.5, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
And replacing we got:
The degrees of freedom are given by:
The critical value for this case is since the calculated value is higher than the critical we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 18.4
Part b
The p value would be given by:
Answer:
A transformed function of f(x) is defined as,
g(x) = k f(x+a) + b,
Where k shows the stretch or compression ( When |k| > 1 or 0 < |k| < 1 ),
a shows the horizontal shifting, ( When a > 0 then it is shifted left when a < 0 then it is shifted right)
b shows the vertical shifting. ( b > 0 then it is shifted up b < 0 then it is shifted down)
Here, the parent function is,
And, transformed function is,
Thus, by the above explanation,
g(x) is obtained after shifting of f(x) horizontally left by 4 unit and after stretched by 2 unit.
