In an experimental treatment, a random individual scores 51 on a measurement. People in general are normally distributed with a mean of 37 and a standard deviation of 7. The researcher predicts that the treatment will create an effect on the subject, but does not specify if the measurement will increase or decrease. Using a 5% significance level (p < .05), what conclusions should this researcher make about the treatment. Utilize the five-step hypothesis testing process and show all of your work.

There is significant evidence that treatment will create effect on the subject. Hence We reject H0

Step-by-step explanation:

H0 : μ = 37

H1 : μ ≠ 37

μ = 37 ; σ = 7 ; sample size, x = 51 ; sample size, n = 1

Decision region :

If P value < α ;

Reject H0

Using the Z test statistic :

Zstatistic = (x - μ) ÷ (σ / √n)

Zstatistic = (51 - 37) ÷ (7 / 1)

Zstatistic = 14 ÷ 7

Zstatistic = 2

Obtaining p value from Zstatistic using the p value calculator ;

Zscore = 2 ; 2-tailed test, significance level = 0.05

P value = 0.0455

Zcritical at α = 0.05 for a 2 - tailed test = 1.96

0.0455 < 0.05

There is significant evidence that treatment will create effect on the subject. Hence We reject H0

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.