R1.16: The average weight and the variance of 100 packaged products is 41 and 4 kg. The distribution of weights is unknown. What is the Hypothesis statistic testing H0: μ = 40 vs. H1: μ ≠ 40?
A. Since the distribution is unknown, we can’t calculate the statistic.
B. It is not possible because the significant level is not known.
C. Z=2.5
D. Z=5
n= 100, = 41, s2= 4, s=2
H0: μ = 40
H1: μ ≠ 40
since sample size is large the distribution of weight of product is
approximately normal according to central limit theorem.
hence sample standard deviation (s) is concederd as population standard deviation ()
formula to calculate z test statistics is
Z = 5
Test statistics ( Z ) = 5
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