The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 29 adolescent girls
who are developmentally delayed, and who have an average age at which they reached their adult height of 17.8 years and a sample variance of 77.4 years. You want to test the hypothesis that adolescent girls who are developmentally delayed have a different age at which they reached their adult height than all adolescent girls. In order to calculate the t statistic, you first need to calculate the estimated standard error. The estimated standard error is what?
1 answer:
Answer:
standard error = 1.63
Step-by-step explanation:
To calculate the standard error we need to know the standard deviation (σ) and the sample size (n) (see the attached formula).
To obtain the standard deviation we use the given sample variance of 77.4 years:
σ²= variance
Therefore:
σ = √77.4 = 8.8
Now we can calcuate the estimated standard error:
standard error = σ /√n = 8.8/√29 = 1.63
The standard error gives us an estimation about how far the mean of the sample is from the mean of the entire population, and in this case is 1.63.
You might be interested in
Answer:
Null Hypothesis, :
= 136 mm Hg
Alternate Hypothesis, :
136 mm Hg
In this context type I error is rejecting that the μ is equal to 136 mm Hg when in fact μ is equal to 136 mm Hg.
Step-by-step explanation:
We are given that the mean systolic blood pressure, μ, of CEOs of major corporations is different from 136 mm Hg, which is the value reported in a possibly outdated journal article.
He measures the systolic blood pressures of a random sample of CEOs of major corporations and finds the mean of the sample to be 126 mm Hg and the standard deviation of the sample to be 18 mm Hg.
So, Null Hypothesis, :
= 136 mm Hg {means that the mean systolic blood pressure, μ, of CEOs of major corporations is 136 mm Hg}
Alternate Hypothesis, :
136 mm Hg {means that the mean systolic blood pressure, μ, of CEOs of major corporations is 136 mm Hg}
Type I error states that the null hypothesis is rejected when in fact the null hypothesis was true. So, in this context type I error is rejecting that the μ is equal to 136 mm Hg when in fact μ is equal to 136 mm Hg.
Suppose the researcher decides not to reject the null hypothesis. It means the researcher is making a type I error.
Answer:
The graph of f(x) is discontinuous at x= -3. The x and y-intercepts or he function f(x) are (4,0) and (0,-4) respectively. The graph of the function is a straight line.
Step-by-step explanation:
The given function is
Cancel out the common factor (x+3).
It is a linear equation and it will give a straight line.
Put x=0, to find the y-intercept.
Therefore the y-intercept is (0,-4).
Put x=0, to find the x-intercept.
Therefore the x-intercept is (4,0).
At x= -3 the value of denominator is 0, therefore the function is undefined for x= -3.
As x approaches toward x=-3 from left and right, the value of function approaches towards y=-7.
The function is discontinuous at x= -3.
