Question

A company that makes cola drinks states that the mean caffeine content per​ 12-ounce bottle of cola is 40 milligrams. You want to test this claim. During your​ tests, you find that a random sample of thirty​ 12-ounce bottles of cola has a mean caffeine content of 40.6 milligrams. Assume the population is normally distributed and the population standard deviation is 7.5 milligrams. At alphaequals0.09​, can you reject the​ company's claim? Complete parts​ (a) through​ (e).
​(a) Identify Upper H 0 and Upper H Subscript a. Choose the correct answer below.
A.
Upper H 0​: muequals40.6
Upper H Subscript a​: munot equals40.6
B.
Upper H 0​: munot equals40.6
Upper H Subscript a​: muequals40.6
C.
Upper H 0​: mugreater than or equals40.6
Upper H Subscript a​: muless than40.6
D.
Upper H 0​: munot equals40
Upper H Subscript a​: muequals40
E.
Upper H 0​: muequals40
Upper H Subscript a​: munot equals40
F.
Upper H 0​: mugreater than or equals40
Upper H Subscript a​: muless than40
​(b) Find the critical​ value(s). Select the correct choice below and fill in the answer box within your choice.
​(Round to two decimal places as​ needed.)
A.
The critical values are plus or minus
nothing.
B.
The critical value is
nothing.
Identify the rejection​ region(s). Choose the correct answer below.
A.
-4
0
4
z
Reject Upper H 0 .Reject Upper H 0 .Fail to reject Upper H 0 .

A normal curve is over a horizontal axis labeled z from negative 4 to 4 in increments of 1 and is centered on 0. Vertical line segments extend to the left of and to the right 0 from the horizontal axis to the curve. The area under the curve the left of the left line segment and to the right of the right lines segment is shaded and labeled Reject H@Sub{0}. The area between the vertical line segments is labeled Fail to reject H@Sub{0}.
B.
-4
0
4
z
Reject Upper H 0 .Fail to reject Upper H 0 .

A normal curve is over a horizontal axis labeled z from negative 4 to 4 in increments of 1 and is centered on 0. Vertical line segment extends to the right of 0 from the horizontal axis to the curve. The area under the curve to the right of the line segment is shaded and labeled Reject H@Sub{0}. The area under the curve to the left of the line segment is labeled Fail to reject H@Sub{0}.
C.
-4
0
4
z
Reject Upper H 0 .Fail to reject Upper H 0 .

A normal curve is over a horizontal axis labeled z from negative 4 to 4 in increments of 1 and is centered on 0. Vertical line segment extends to the left of 0 from the horizontal axis to the curve. The area under the curve to the left of the line segment is shaded and labeled Reject H@Sub{0}. The area under the curve to the right of the line segment is labeled Fail to reject H@Sub{0}.
​(c) Find the standardized test statistic.
zequals
nothing ​(Round to two decimal places as​ needed.)
​(d) Decide whether to reject or fail to reject the null hypothesis.
A.
Since z is in the rejection​ region, fail to reject the null hypothesis.
B.
Since z is in the rejection​ region, reject the null hypothesis.
C.
Since z is not in the rejection​ region, reject the null hypothesis.
D.
Since z is not in the rejection​ region, fail to reject the null hypothesis.
​(e) Interpret the decision in the context of the original claim.
At the 9​% significance​ level, there
▼
is not
is
enough evidence to
▼
reject
support
the​ company's claim that the mean caffeine content per​ 12-ounce bottle of cola
▼
is less than
is greater than
is different from
is equal to

nothing milligrams.

Answer 1

I don't understand what you have written, however I showed here 5 steps of hypothesis. follow it up.