Answer:
a: z = -1.936
b: 0.0265
d: z < -1.645
Reject H0 if z < -1.645
Step-by-step explanation:
We are given:
H0: µ = 20
HA: µ < 20
n = 60, sample mean: 19.6, σ = 1.6
Since the alternate hypothesis has a < sign in it, it is a left tailed test. The < or > sign in the alternate hypothesis points towards the rejection region.
For a: We need to calculate the test statistic for our situation. This is done with a z-score formula for samples.
For b: we need to use the z-score table to look up the p-value for the score we calculate in part a. The p-value is 0.0265. This means that there is only about a 2.65% chance that the sample values were a result of random chance.
For d: Since the significance level is 0.05, and this is a one tailed test, we have a critical value of z < - 1.645. This means that if the z-score we calculate in part a is less than -1.645, we will reject the null hypothesis
See attached photo for all the calculations!
Answer:
The axis of symmetry
The x-value of the vertex
Hello,
Looking at the data, you should go with the second and fourth results.
On the second one, Dr. Appiah's M.A.D. is only 9.7 which is less than Dr. Singh's M.A.D. of 14.1
On the fourth one, Dr. Cantwell and Dr. Singh both have a M.A.D. that is only 0.1 from 14, so their ages vary by about the same amount.
Best of luck,
MrEQ
Exact Form: 1991/2
Decimal Form: 995.5
Mixed Number Form: 995 1/2