In a test of the hypothesis
upper h 0 : mu = 10 versus upper h subscript a baseline : mu not = 10 a sample of n= 50 observations possessed mean x overbar = 10.8 and standard deviation s =3.3.
find and interpret the? p-value for this test.
the? p-value for this test is =.? (round to four decimal places as? needed.) interpret the result.
choose the correct answer below.
a. there is sufficient evidence to reject upper h 0 for alphagreater than0.09.
b. there is sufficient evidence to reject upper h 0 for alphaless than0.09.
c. there is insufficient evidence to reject upper h 0 for alphaequals0.15.

Step-by-step explanation:

Given that

sample size =n= 50

x bar = sample mean = 10.8

s = sample std deviation = 3.3

Mean difference = 50-10 = 40

Std error of sample = std dev / sqrt n=

Since population std dev is not known, we have to use t test

Test statistic t = Mean diff/std error =

df = 39

p value = 0.0000

Since p < 0.09 our significance level, we reject our null hypothesis.

A. There is sufficient evidence to reject Upper H 0 for alpha greater than 0.09

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1