The final grades of forty students were randomly selected, recorded and inputted into MINITAB. The results are summarized in Exhibit 1 below. One-Sample Z: Grade Test of mu = 85 vs ≠ 85 The assumed standard deviation = 5.25 Variable N Mean StDev SE Mean Grade 40 87 5.25 * i. Calculate the value of *? ii. State the null and alternative hypotheses for the test. iii. What is the value of test statistic for this test.?
a) The final grades of forty students were randomly selected, recorded and inputted into
MINITAB. The results are summarized in Exhibit 1 below.
One-Sample Z: Grade
Test of mu = 85 vs ≠ 85
The assumed standard deviation = 5.25
Variable N Mean StDev SE Mean
Grade 40 87 5.25 *
i. Calculate the value of *?
ii. State the null and alternative hypotheses for the test.
iii. What is the value of test statistic for this test.?
iv. Calculate the p-value for this test.
v. State the conclusion of this test at the 1 % level of significance. Give a reason for your
answer.
b) A machine fills cans with soft drinks so that their contents have a volume of 330ml. Over
a period of time, it has been established that the volume of liquid in the cans follow a
normal distribution with mean of 335 ml and standard deviation of 3 ml.
A setting on the machine is altered, following which the operator suspects that themean
volume of liquid discharged by the machine into the cans has decreased. He takes a
random sample of 50 cans and finds that the mean volume of liquid in these cans is 334.6
ml. Does this confirm his suspicion? Test at the 5% level of significance.
As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted....
Given that
Population mean (µ)=85
Sample size (n)=40
Sample mean =87
Standard deviation =5.25
We have to find
a..SE mean
b..Null and Alternative hypothesis
c..test statistic
Step by step
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