Question 1145197
sample mean is 706.4 grams and sample standard deviation is 17.76 grams
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company mandates 700 grams for the mean
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Ho: x = 700
H1: x not = 700
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This is a two-tailed hypothesis test
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alpha(a) = 0.10
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critical probability(p*) = 1 - (a/2) = 0.95
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sample size is 40 > 30, we can use the normal distribution
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standard error(SE) = 17.76/square root(40) = 2.8
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test statistic is (706.4 - 700)/2.8 = 2.29
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At the 10% significance level, the critical value for a two-tailed test is found from the table of z-scores to be 1.645 or -1.645
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Since the test statistic(2.29) does fall within the critical region(2.29 > 1.645), we reject the null hypothesis(Ho)
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Recommendation to management:  Determine source of over-weight - maybe the scales used or need for employee education
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