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- For each of the following questions, indicate whether it is best assessed by using a confidence interval or a hypothesis test or whether statistical inference is not relevant to answer it. (answer all please!!) Do a majority of adults riding a bicycle wear a helmet? On average, how many more minutes do ladies spend in the restroom than men? Is the median Exam 1 score for STA 270 students in section 10 any different from that of STA 270 students in section 11? What is the average daily calorie intake of 20-year-old males? In 2010, what percent of the US Senate voted to confirm Elena Kagan as a member of the Supreme Court?For each of the following problems, (a) Write the important information, (b) Verify the CLT conditions, (c) Calculate the margin of error and confidence interval (d) Interpret the confidence interval. According to a 2017 Gallup Poll, 617 out of 1028 randomly selected adults living in the United States felt the laws covering the sale of firearms should be more strict. Find a 95% confidence interval for the population proportion who favor stricter gun laws.For each of the following problems, (a) Write the important information, (b) Verify the CLT conditions, (c) Calculate the margin of error and confidence interval (d) Interpret the confidence interval. A random sample of 35 two-year colleges in 2014-2015 had a mean tuition (for in-state students) of $4173, with a standard deviation of $2590. FInd a 92% confidence interval for the mean in-state tuition of all two-year colleges in 2014-2015.
- In each of Problems, we have provided a scenario for a confidence interval. Decide, in each case, whether the appropriate method for obtaining the confidence interval is the z-interval procedure, the t-interval procedure, or neither. A random sample of size 50 is taken from a population. A boxplot of the sample data reveals no outliers. The population standard deviation is known.11. a. The manufacturers are interested in estimating the percentage of defective light bulbscoming from a certain process. They want a 90% confidence interval with a margin of error of 2%. How many light bulbs must they test?Choices:(a) 50 (b) 500 (c) 800 (d) 2000 (e) 300011. b. Same question as in the previous problem, but assume they had a reason to believe the proportion is fairly close to 6%. How large a sample must they test?Choices:(a) 50 (b) 500 (c) 800 (d) 2000 (e) 3000For each of the following problems, (a) Write the important information, (b) Verify the CLT conditions, (c) Calculate the margin of error and confidence interval (d) Interpret the confidence interval. 3. A bottle filling machine is operating with a standard deviation of 0.12 ounces. Suppose that in a simple random sample of 36 bottles the machine inserted an average of 16.1 ounces into each bottle. FInd a 90% confidence interval to estimate the mean number of ounces in all the bottles this machine fills.
- In each of Problems, we have provided a scenario for a confidence interval. Decide, in each case, whether the appropriate method for obtaining the confidence interval is the z-interval procedure, the t-interval procedure, or neither. A random sample of size 13 is taken from a population. A normal probability plot of the sample data shows no outliers but has significant curvature. The population standard deviation is unknown.In each of Problems, we have provided a scenario for a confidence interval. Decide, in each case, whether the appropriate method for obtaining the confidence interval is the z-interval procedure, the t-interval procedure, or neither. A random sample of size 128 is taken from a population. A normal probability plot of the sample data shows no outliers but has significant curvature. The population standard deviation is known.In each of Problems, we have provided a scenario for a confidence interval. Decide, in each case, whether the appropriate method for obtaining the confidence interval is the z-interval procedure, the t-interval procedure, or neither. A random sample of size 20 is taken from a population. A normal probability plot of the sample data shows three outliers but is otherwise roughly linear. Removal of the outliers is questionable. The population standard deviation is unknown.
- If we want both intervals to hold at the 90% level of confidence, then the individual intervals must hold at a higher level of confidence. Write a brief but detailed explanation of how this could be of importance in a large, complex engineering design such as a rocket booster or a spacecraft.In each of Problems, we have provided a scenario for a confidence interval. Decide, in each case, whether the appropriate method for obtaining the confidence interval is the z-interval procedure, the t-interval procedure, or neither. A random sample of size 25 is taken from a population. A normal probability plot of the sample data shows three outliers but is otherwise roughly linear. Checking reveals that the outliers are due to recording errors and are really not outliers. The population standard deviation is known.Which of the following statements is true regarding the width of a confidence interval for a population proportion ? A. It is narrower when the sample proportion is 0.20 than when the sample proportion is 0.50 . B. It is wider for a sample of size 80 than for a sample of size 40. C. It is wider for 95 % confidence than for 99 % confidence . D.It is narrower for 95 % confidence than for 90 % confidence .