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In 2013, the average Girl Scout in New York City sold 96 boxes of cookies. The leader of Troop 5078 in New York City wants to know if the scouts in her troop sold more cookies than the average in New York City. She randomly samples 50 girls in Troop 5078 and records the number of boxes of cookies sold for each girl in the sample.Here are the null and alternative hypotheses for her study: H0: µ = 96, Ha: µ > 96.What does µ represent in these hypotheses? Mean number of boxes of cookies sold for the Girl Scouts in her sample from Troop 5078 Mean number of boxes of cookies sold for the average Girl Scout in New York City Mean number of boxes of cookies sold for the Girl Scouts in Troop 5078

Question

In 2013, the average Girl Scout in New York City sold 96 boxes of cookies. The leader of Troop 5078 in New York City wants to know if the scouts in her troop sold more cookies than the average in New York City. She randomly samples 50 girls in Troop 5078 and records the number of boxes of cookies sold for each girl in the sample.Here are the null and alternative hypotheses for her study: H0: µ = 96, Ha: µ > 96.What does µ represent in these hypotheses? Mean number of boxes of cookies sold for the Girl Scouts in her sample from Troop 5078 Mean number of boxes of cookies sold for the average Girl Scout in New York City Mean number of boxes of cookies sold for the Girl Scouts in Troop 5078

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Solution

In these hypotheses, µ represents the mean number of boxes of cookies sold for the Girl Scouts in Troop 5078.

Similar Questions

In 2013, the average Girl Scout in New York City sold 96 boxes of cookies. The leader of Troop 5078 in New York City wants to know if the scouts in her troop sold more cookies than the average in New York City. She randomly samples 50 girls in Troop 5078 and records the number of boxes of cookies sold for each girl in the sample.The troop leader finds that her Girl Scouts each sold an average of 101.1 boxes of cookies with a standard deviation of 29.3. She analyzed her data using a t-test and obtained a p-value of 0.11.What conclusion can she draw from her data? The sample value of 101.1 is significantly larger than 96. In other words, the data provide enough evidence to conclude that the mean number of boxes of cookies sold by Girl Scouts in Troop 5078 was higher than 96. Even though 101.1 is larger than 96, it is not significantly larger than 96. In other words, the data do not provide enough evidence to conclude that the mean number of boxes of cookies sold by Girl Scouts in Troop 5078 was higher than 96. Nothing. The conditions for use of a t-test were not met. She cannot trust that the p-value is accurate for this reason.

A student believes that the average grade on the quiz in Math is greater than 85. She plans on taking a sample to test her belief. The correct null hypothesis is Group of answer choicesPopulation mean is greater than or equal to 85Population mean is less than or equal to 85Population mean is less than 85Population mean is greater than 85

For the following scenarios, give the null and alternative hypotheses and state in words what µ represents in your hypotheses.Question 3: An analytical chemistry lab is conducting quality control tests on a drug. A single dosage of the drug should contain 8 mg of active ingredient. Of course, there will be a small amount of variability due to imperfections in the production process, but the mean of all dosages produced should be 8 mg. In 20 random samples, the mean amount of active ingredient is 7.7 mg. Do the data suggest that the mean amount of active ingredient in all dosages produced is different from 8 mg?

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

Hypothesis Testing

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