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A battery manufacturer was considering changing suppliers for a particular part. The purchasing manager required that the average cost of the part be less than or equal to $32 in order to stay within budget. A sample of the 32 initial deliveries had a Mean of the new product upgrade price of $28 with an estimated Standard Deviation of $3. Based on the data provided, the Z value for the data assuming a Normal Distribution is?
A) 0.67
B) 1.33
C) 2.67
D) 4.33

Respuesta :

Answer:

1.33

Step-by-step explanation:

Given that a battery manufacturer was considering changing suppliers for a particular part. The purchasing manager required that the average cost of the part be less than or equal to $32 in order to stay within budget.

Sample size n =32

Mean of sample = 28

Std deviation of sample s= 3

Std error of the mean = [tex]\frac{s}{\sqrt{n} } \\=0.53033[/tex]

Mean difference = 28-32 = -4

Test statistic Z = mean difference/std deviation

=[tex]|\frac{-4}{3}| \\=1.33[/tex]

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