Question

Sweet corn of a certain variety is known to produce individual ears of corn with a mean weight of 8 ounces. A
farmer is testing a new fertilizer designed to produce larger ears of corn, as measure by their weight. He finds
that 28 randomly-selected ears of corn grown with this fertilizer have a mean weight of 8.25 ounces and a
standard deviation of 0.8 ounces. There are no outliers in the data. Do these samples provide convincing
evidence at the .05 level that the fertilizer had a positive impact on the weight of the corn ears?

Answer 1

figure out null/alternative hypotheses first

Answer 2

yeaah I have no idea how to do this

Answer 3

\(H_0 : \mu = 8\)

\(H_A : \mu \gt 8\)

Answer 4

find the p value

Answer 5

\(\large P(8.25~ |~ H_0~is~true)\)

Answer 6

to find p value,
u need "standard error"

u knw how to find it ha ?

Answer 7

I know that Ha is the alternative hypothesis is always written as an inequality but that is all

Answer 8

and is *

Answer 9

standard error = \(\large \frac{s}{\sqrt{n}} = \frac{0.8}{\sqrt{28}} = 0.1512\)

Answer 10

sketch the normal curve with below parameters :
\(\mu = 8\)
\(SE = 0.1512\)