A local fast food company sells a 16-oz soft drink. To determine if the soft drinks served contain less than the advertised 16 oz, a random sample of 20 drinks is chosen and the amount of drink in each cup is measured (without ice). The mean amount of soft drink was found to be 15.5 oz with a standard deviation of 0.4 oz. Based on the sample results we cannot claim that the soft drink contains less than 16 oz. Which form of statistical inference does this conclusion represent? Point estimation Hypothesis testing Interval estimation
Question
A local fast food company sells a 16-oz soft drink. To determine if the soft drinks served contain less than the advertised 16 oz, a random sample of 20 drinks is chosen and the amount of drink in each cup is measured (without ice). The mean amount of soft drink was found to be 15.5 oz with a standard deviation of 0.4 oz. Based on the sample results we cannot claim that the soft drink contains less than 16 oz. Which form of statistical inference does this conclusion represent? Point estimation Hypothesis testing Interval estimation
Solution
The conclusion represents Hypothesis Testing. In this case, the null hypothesis would be that the mean amount of soft drink is equal to 16 oz. The alternative hypothesis would be that the mean amount of soft drink is less than 16 oz. The sample data was used to test these hypotheses. Since the conclusion is that we cannot claim that the soft drink contains less than 16 oz, it means that there is not enough evidence to reject the null hypothesis. Therefore, this is a case of hypothesis testing.
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A local fast food company sells a 16-oz soft drink. To determine if the soft drinks served contain less than the advertised 16 oz, a random sample of 20 drinks is chosen and the amount of drink in each cup is measured (without ice). The mean amount of soft drink was found to be 15.5 oz with a standard deviation of 0.4 oz. Based on the sample results we cannot claim that the soft drink contains less than 16 oz. Which form of statistical inference does this conclusion represent?
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An automatic coffee machine dispenses cups of coffee whose volume per cup varies normally with the mean μ = 10 oz. A quality-control researcher randomly selects 8 cups of coffee from the machine and finds that in this sample the mean volume is 9.92 oz. and the standard deviation is 0.23 oz.We want to determine if these data provide enough evidence to conclude that the mean volume per cup is below the target level.
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