A manufacturer of chocolate candies uses machines to package candies as they move along a filling line.Although the packages are labeled as 8 ounces,the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces.A sample of 50 packages is selected periodically,and the packaging process is stopped if there is deviation of 0.059 ounce.Complete parts (a)and(b) State the null and alternative hypotheses. H0μ= 8.17 H1:μ≠8.17 Determine the test statistic. The test statistic is
Question
A manufacturer of chocolate candies uses machines to package candies as they move along a filling line.Although the packages are labeled as 8 ounces,the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces.A sample of 50 packages is selected periodically,and the packaging process is stopped if there is deviation of 0.059 ounce.Complete parts (a)and(b) State the null and alternative hypotheses. H0μ= 8.17 H1:μ≠8.17 Determine the test statistic. The test statistic is
Solution
To answer this question, we first need to understand the null and alternative hypotheses.
The null hypothesis (H0) is a statement of no effect or no difference. In this case, the null hypothesis is that the mean weight of the chocolate candies is 8.17 ounces. So, H0: μ = 8.17.
The alternative hypothesis (H1) is a statement that contradicts the null hypothesis. Here, the alternative hypothesis is that the mean weight of the chocolate candies is not 8.17 ounces. So, H1: μ ≠ 8.17.
To determine the test statistic, we need more information such as the standard deviation of the sample and the actual mean weight of the candies in the sample. The test statistic is usually calculated as the difference between the sample mean and the hypothesized mean, divided by the standard error of the sample mean.
However, without the standard deviation or the actual mean weight of the candies in the sample, we cannot calculate the test statistic.
Similar Questions
A manufacturer of chocolate candies uses machines to package candies as they move along a filling line.Although the packages are labeled as 8 ounces,the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces.A sample of 50 packages is selected periodically,and the packaging process is stopped if there is deviation of 0.059 ounce.Complete parts (a)and(b) Determine the test statistic. The test statistic is
A manufacturer of chocolate candies uses machines to package candies as they move along a filling line.Although the packages are labeled as 8 ounces,the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces.A sample of 50 packages is selected periodically,and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces.Suppose that in a particular sample of 50 packages,the mean amount dispensed is 8.168 ounces,with a sample standard deviation of 0.059 ounce.Complete parts(a)and(b). Click here to view page 1 of the critical values for the t Distribution. Click here to view page 2 of the critical values for the t Distribution. 。○ State the null and alternative hypotheses H0μ=8.17 H1μ≠8.17 (Type integers or decimals.) Identify the critical value(s). The critical value(s)is(are)-2.6800,2.6800 (Round to four decimal places as needed.Use a comma to separate answers as needed.) Determine the test statistic.
contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces.A sample of 50 packages is selected periodically,and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces.Suppose that in a particular sample of 50 packages,the mean amount dispensed is 8.171 ounces,with a sample standard deviation of 0.053 ounce.Complete parts (a)and(b) Click here to view page 1 of the critical values for the t Distribution. Click here to view page 2 of the critical values for the t Distribution. 回 a.Is there evidence that the population mean amount is different from 8.17 ounces?(Use a 0.10 level of significance. State the null and alternative hypotheses.
The makers of Mini-Oats cereal have an automated packaging machine that is set to fill boxes with 24 ounces of cereal. At various times in the packaging process, we select a random sample of 100 boxes to see whether or not the machine is filling the boxes with an average of 24 ounces of cereal.Which of the following is a statement of the null hypothesis? The machine is not filling the boxes with the proper amount of cereal. The average is not 24 ounces. The machine is not putting enough cereal in the boxes. The average is less than 24 ounces. The machine fills the boxes with the proper amount of cereal. The average is 24 ounces.
The makers of Mini-Oats cereal have an automated packaging machine that is set to fill boxes with 24 ounces of cereal.At various times in the packaging process, we select a random sample of 100 boxes to see whether or not the machine is filling the boxes with an average of 24 ounces of cereal.Which of the following is a statement of the alternative hypothesis? The machine fills the boxes with the proper amount of cereal. The average is less than 24 ounces. The machine fills the boxes with the proper amount of cereal. The average is 24 ounces. The machine is not filling the boxes with the proper amount of cereal. The average is not 24 ounces.Question 4
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