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 average Girl Scout in New York City 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 Girl Scouts in Troop 5078

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?

The manager of a mall conducted a survey among two groups (n1 = 100, n2 = 100) of visitors to the mall on different days. She found that the first group spent an average of 60 minutes in the mall, while the second group spent an average of 90 minutes in the mall.If the manager wishes to see the difference in the average times spent by the two groups in the mall, which of the following sets shows the null hypothesis and alternative hypothesis?Null Hypothesis: There is at least some difference in the average times spent by the two groups in the mall.Alternative Hypothesis: The difference in the average times spent by the two groups in the mall is 30 minutes.Null Hypothesis: There is no difference in the average times spent by the two groups in the mall.Alternative Hypothesis: There is at least some difference in the average times spent by the two groups in the mall.Null Hypothesis: There is at least some difference in the average times spent by the two groups in the mall.Alternative Hypothesis: There is no difference in the average times spent by the two groups in the mall.Null Hypothesis: There is no difference in the average times spent by the two groups in the mall.Alternative Hypothesis: There is a difference in the average times spent by the two groups in the mall, with a standard deviation of 30 minutes.

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.