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MTH233/statistics UOP

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. Hypothesis Testing
o Please complete the following 5-step hypothesis testing procedure in your Learning Teams: A simple random sample of forty 20-oz bottles of Coke® from a normal distribution is obtained and each bottle is measured for number of ounces of Coke® in the bottle. The sample mean is 19.4 oz with standard deviation of 1.8 oz. Test the claim at an alpha significance level of 5% that on average there is exactly 19.8 oz of Coke® in each bottle.

2. Hypothesis Testing
o Please complete the following 5-step hypothesis testing procedure in your Learning Teams: A simple random sample of ten 20-oz bottles of Coke® from a normal distribution is obtained and each bottle is measured for number of ounces of Coke® in the bottle. The sample mean is 19.4 oz with standard deviation of 1.8 oz. Test the claim at an alpha significance level of 5% that on average there is more than 19.8 oz of Coke® in each bottle.

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    Find an example of application of Normal Distribution (or approximately Normal Distribution) in your workplace or business (or any other business that you are familiar with). Prove that the variable has the characteristics of a Normal Distribution. Recall that the variable must be continuous and the distribution must be symmetrical (or approximately symmetrical). For a distribution to be approximately Normal, the values of Mean, Median, and Mode must be fairly close.

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    1. The Myers Summer Casual Store tells its customers that a special order will take six weeks (42 days). During the recent months, the owner has received several complaints that the special orders are taking longer than 42 days. A sample of 12 special orders delivered in the last month showed that the mean waiting time was 51 days, with a standard deviation of eight days. At the .01 level of significance, are customers waiting an average of more than 42 days?

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