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Answer :
Answer:
The critical value of the appropriate statistic for testing the null hypothesis is -0.322
Step-by-step explanation:
First we must define the Null Hypothesis
H0: Miu >= 115
Ha: Miu < 115
The null hypothesis is that the population mean Miu of weights of women is greater or equal than the one of previous years, 115 lbs. We define the hypothesis so that, if we reject the Null Hypothesis H0, we will prove what we want, that weights of women are less.
As our sample is greater than 30 observations, we can use the Central Limit Theorem and uses a Z statistic to prove the hypothesis ( in contrary we must use a t - test). The z statistic is
Z = sample mean - H0 / Std Deviation sample
Z= 111-115 / 12.4 = -4/12.4 = -0.322
That's the answer of your problem
The Z to test against your critical Z is the Z value that accumulates a 0.01 of probability or -2.32
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