Ignore my work already on the page please. Please answer questions A,B,C, and D.
ID: 3310559 • Letter: I
Question
Ignore my work already on the page please. Please answer questions A,B,C, and D. Please show all work and BOX the four answers. The random sample size is n=25.
3. Suppose that we are interested in the mean yield per acre for a new variety of soybeans. Suppose that the yields are known to be normally distributed with 100 We are interested in determining if the yield for this variety exceeds the standard of 520 bushels per acre. We take a random sample of n and obtain the following. Use -0.01 and provide the following steps. 2 5 yield Summary Statistica a) Identify the parameter of interest and write down the null and alternative hypotheses to be tested. Parameter of interest: Hypotheses VS- b) Calculate the value of the test statistic and the p-value. 3.51317 c) Construct the appropriate confidence limit(s). 58o 94242 d) What is your conclusion?Explanation / Answer
SolutionA:
parameter is mean yield per acre
Hypothesis are:
H0:=520
Ha >520
right tail z test
since population standard deviation is given.
Solutionb:
z crit for 99%=2.576
z=samplemean-popmean/population std deviation/sqrt(samplesize)
=586.94242-520/100/sqrt(25)
=3.347
z=3.347
p value=0.00408
Solutionc:
99% confidence interval for population mean is
samplemean-zcri(pop sd/sqrt(n),samplemean+zcri(pop sd/sqrt(n)
586.94242-2.576(100/sqrt(25),586.94242+2.576(100/sqrt(25)
535.422,638.462
lower limit=535.422
upper limit=638.462
535.422<mu<638.462
SOlutiond:
for hypothesis test
p<0.01
Reject Null hypothesis
Accept alternative hypothesis.
There is sufficient statistical evidence at 1% level of significance to conclude that mean yield exceeds 520 bushels per acre.
Basing on confidence interval
the population mean of 520
is not in the confidence interval range.
535.422 and 638.462
Reject null hypothesis.
accept alternative hypothesis.
There is sufficient statistical evidence at 1% level of significance to conclude that mean yield exceeds 520 bushels per acre basing on 99% confidence interval for the mean.