A company claims that its packages of beads contain, on average, 50 beads with a standard deviation of 5.4 beads. In a hypothesis test of this claim, H0 is µ = 50 and Ha is µ ≠ 50, where µ is the average number of beads per package. Based on a sample of 20 packages, Celia calculates a mean of 52.5 beads per package
What is the z-statistic for the sample? Round the answer to the nearest hundredth

Respuesta :

Answer:

first answer is 2.07

second answer is A) the answer should be rejected

The z-statistic for the sample to the nearest hundredth is 2.07 and the answer should be rejected.

Calculations and Parameters:

To find the z-statistic:

Where:

μ= mean

x= raw score

σ= standard deviation

z = (x – μ) / σ

52.5-20/5.4

= 2.07

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