Question

a-For over 25 years Fishy company has been selling canned sardines, mainly with a net weight of 425 grams. To your surprise, management has not tested the actual weight of the can in the last three years, and you wonder if the net weight of 425 grams is still appropriate. What would be the null and alternative hypothesis to test this?

b- Say that Ho : µ ? 25.5 Ha : µ < 25.5
If n = 50, ? = 5 and ? = 0.01 and X is normally distributed, compute the
p-value and state if you reject the null or not when,
(b) x= 24.7

c-An engineer was proud to have installed a new solar system at his house.
The system was economically feasible because surplus power generated was
sold to the power company. To the engineers dismay though, right after
installation the system stopped selling back to the power company from
around 11am to about 3pm every single day. After some observations, he
noticed that the voltage on the power grid seemed to be higher than the
expected value, 120 volts. If the voltage in the power grid is too high, then
due to federal regulations he will not be able to sell power back to the grid.
He took 30 random voltage measurements during the time of the day in
question and got an average of 130 volts. The engineer was able to ?nd
out that the power grid voltage for the area is normally distributed with a
standard deviation of 1 volt. Conduct the ?ve steps of hypothesis testing to
determine if mean voltage in his neighborhood is higher than 120 volts at
5% signi?cance.

a)state null and alternative

b)What kind of test statistic should be used

c)Find the value of the test statistic

d): Find the p-value

Answer 1

Date Cei sten the infosm ato -Standaad deviation- 1 yht | K- s %-o.os-level ofsignificance. o test the btPothesis that mean voldage in his ー -- t neighboal ood is highes than tan not 乙二 130-120 50mぐ

Date Decisio usins pvalne Resect the to IF P-valve sderelo is less than on eanal 4o level of DecisIoW the pull hd pothesis at % levtel ofsignificanee cenduion So Efrient evi deo ceto support-the --