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 sum standard deviation =5.25 variable       N           Mean          StDev       Se Mean grade           40          87                5.25          * Calculate the value of *? State the null and alternative hypotheses for the test What is the value of test statistic for this test Calculate the p-value for the test State the conclusion the test. Give a reason  for your answer

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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 sum standard deviation =5.25

variable       N           Mean          StDev       Se Mean

grade           40          87                5.25          *

  1. Calculate the value of *?
  2. State the null and alternative hypotheses for the test
  3. What is the value of test statistic for this test
  4. Calculate the p-value for the test
  5. State the conclusion the test. Give a reason  for your answer

 

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Given information

Sample mean = 87

Population mean µ = 85

Sample size n = 40

Standard deviation σ = 5.25

Since population standard deviation is known therefore using z-test statistics.

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