Question

George measured the weight of a random sample of 49 cartons of apples. The mean weight was 45.5 pounds, with a standard deviation of 3. z equals fraction numerator x with bar on top minus mu over denominator begin display style bevelled fraction numerator sigma over denominator square root of n end fraction end style end fraction To see if the cartons have a significantly different mean weight from 46 pounds, what would the value of the z-test statistic be

Answer 1

1.17

Explanation:

Answer 2

1.16667

Explanation:

When told in the question that random number of sample is tested

z test statistic formula = x - x bar(x with bar above it) /Standard error

From the question

x = raw score = 46 pounds

x bar (x with bar above it)= sample mean = 45.5 pounds

Standard Error = σ/√n

Standard deviation = σ = 3

n = random number of samples = 49

z = 46 - 45.5/3/√49

z = 0.5/ 3/7

z =0.5/ 0.4285714286

z = 1.16667

Therefore , the value of the z test statistic = 1.16667