The average weight of a bar of soap should be 6.4 ounces with a standard deviation of 0.2 ounces. A sample of 20 bars of soap found the average to be 6.3 ounces with a standard deviation of 0.3 ounces. What is the test statistic for testing whether or not the mean exceeds 6.4 ounces

The testing statistic is -2.237

Step-by-step explanation:

Test statistic (z) = (sample mean - population mean) ÷ (population standard deviation/√n)

sample mean = 6.3 ounces

population mean = 6.4 ounces

population standard deviation = 0.2 ounces

n (sample size) = 20

z = (6.3 - 6.4) ÷ (0.2/√20) = -0.1 ÷ 0.0447 = -2.237

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

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