I am seeking clarification on my workings: if the test statistics for Z is greater than the critical value for Z would that that mean you would reject that the average weight of the chicken being the required 2.00kg?

A takeaway chicken business sells chickens.

The weight of each chicken should be as close as possible to 2.00 kg.

A random sample of 26 chickens prepared over the past few weeks had a mean weight of 1.60 kg with a standard deviation of 0.50 kg.

Required:Using a two tailed test and a significance level of 0.05 would you accept or reject that the average weight of the chicken is the required 2.00 kg?

Show your calculation workings and specify which test statistic (Z or t-test) you have used.

STEP 1:

NULL HYPOTHESIS = WEIGHT IS CLOSE TO 2.00 KG

ALTERNATE HYPOTHESIS = WEIGHT NOT CLOSE TO 2.00KG

TWO TAILED TEST

STEP 2:

LEVEL OF SIGNIFICANCE = 0.05

STEP 3:

Z TEST IS USED FOR RANDOM SAMPLE SIZE OF 26 CHICKENS

STEP 4:

REJECTION = 0.50/2 = 0.025

REGION OF REJECTION = 0.50 - 0.025 = 0.475

CRITICAL VALUE = 1.96

STEP 5:

1.60 - 2.00/0.50/26 =

z =-4.0792156108742