Math Week 4 Case Study

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Week 4 Practice Problems 1. Two sets of data both have a mean of 17. Set A has a standard deviation of 3.5. Set B has a standard deviation of 6.8. Explain specifically what the different standard deviation measurements tell you as a researcher about the two data sets? A= mean: 17 SD: 3.5 B= mean: 17 SD: 6.8 2. Which of the two sets of basketball players were more consistent in their foul shots? Explain how you know. Team A: Mean number of foul shots made = 20, standard deviation = 4. Team B: Mean number of foul shots made = 21, standard deviation = 2.1. Team B is more consistent because there is less difference 3. You are interested in how many Scioto County 3rd – grade students can improve their reading proficiency using a…show more content…
Alternate Hypothesis: The new lightbulb claims that it has average life of more than 1000 hours. Ho = p=1000 hours HA : p > 1000 hours. 7. Write the null and alternate hypotheses for this situation: A cereal manufacturer uses a filling process designed to add exactly 18 ounces of cereal to each box. State the null and alternative hypotheses that would be used to verify this claim. Null Hypothesis: It may be the cereal manufacturer filled by adding less than 18 ounces of cereal. Alternate Hypothesis: manufacturer claims that designed to add exactly 18 ounces of cereal to each box. Ho = p < 18 HA = p=18 8. Write the null and alternate hypotheses for this situation: In the last census, taken five years ago, it was determined that 6% of school-aged children in a certain state lived with their grandparent(s). To support a bill on tax breaks for seniors, a congressional member plans to take a random sample of school-aged children to determine if that percent has increased. Null Hypothesis: 6% or even less than that in a certain state lived with their grandparents. Alternative Hypothesis: The percent of children in the state who live with their grandparents has increased greater than 6%. Ho: p= 0.6 HA: p > 0.6 9. Let’s suppose you have completed a statistical analysis. The null/research hypotheses are listed below, along with the p-value that you obtained from your testing. Explain whether you have significant evidence to “reject the null” or
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