**Question 2:***A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a new prescription painkiller. A random sample of 16 patients had a sample mean of 10 minutes with a sample standard deviation of 2 minutes. Find the 98% confidence interval for the time until headache relief. Enter the lower endpoint of the interval in the first blank and the upper endpoint in the second blank. Do not round your answer or intermediate steps. You must use critical values from the tables.*

Given Data : Sample Size, n = 16.0 Sample Mean, x̄ = 10.0 standard…

Answered: estion 2 a) A medical researcher wants…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a recent year, a sample of the South American Redeye Piranha was collected by fishermen on a particular river. Wildlife biologists regard this sample as a random sample of all Redeye Piranha in that river. The mean length of the 60 fish in the sample was 12.88 cm, and a 99% confidence level for the true mean length of all Redeye Piranha in that river is 12.09 cm to 13.67 cm. Explain what would happen to the length of the interval if the confidence level were decreased to 95%.
Paint used to paint lines on roads must reflect enough light to be clearly visible at night. Researchers have 2 new types of paints they want to test paint type A and paint type B. For each paint type, they tested if there was statistical evidence the average reflectometer reading is greater than 35. To test each type of paint, they used 15 paint samples. Further, suppose the standard deviation is the same for both types of paints. The sample mean for paint type A was 39 and the sample mean for paint type B was 41.5. For both statistical tests, the significance level is set to .05.Which of the following is true? If they fail to reject the null hypothesis for paint type A we can conclude there is statistical evidence the average reflectometer for type A paint is 35. The p-value for the type B paint test is smaller. They rejected the null hypothesis for both paint types. Exactly two of the statements above are true. None are true.
You want to estimate the mean weight of quarters in circulation. A sample of 60 quarters has a mean weight of 5.682 grams and a standard deviation of 0.061 gram. Use a single value to estimate the mean weight of all quarters. Also, find the 95% confidence interval for the average weight of all quarters. The estimate for the mean weight of all quarters is (Round to three decimal places as needed.) grams. Find the 95% confidence interval for the mean weight of all quarters. grams < p< grams (Round to three decimal places as needed.)
A sleeping pill company have a pill that they claim will help you fall asleep in less than 30 minutes. A researcher is very skeptical of this claim and believe that it is more than 30 minutes. The researcher randomly collect 38 people and track how long it take them to fall asleep after they take the sleepy pill. The average mean time it took the 38 people to fall asleep is 31.5 minute with a standard deviation of 10.6 minutes. Test the researcher claim at a 10% significant level.
Do AP Statistics students have higher GPA's than non AP Statistics students? Random samples of 20 AP Statistics students and 20 non AP Statistic students were taken. AP Statistics students had a mean GPA of 3.335 with a standard deviation of 0.557. Non AP Statistics students had a mean GPA of 3.04 with a standard deviation of 0.685. Assume the distribution of all AP Statistics scores are normally distributed. Use a 95% confidence interval for the true difference in average GPAS for AP Statistics and non AP Statistics students to determine if one group has a higher GPA than the other.
Kendra, the Human Resources manager for Moore Manufacturing wants to determine whether the employee retention rate is higher for the company's Eastern Division than it is for the Western Division. A random sample of 25 employees from Moore Manufacturing's Eastern Division (group 1) has an average time with the company of 4.8 years and a standard deviation of 1.1 years. A random sample of 23 employees from Moore Manufacturing's Western Division (group 2) has an average time with the company of 4.1 years and a standard deviation of 0.9 years. Conduct a hypothesis test at 0.02 significance. Round answers to 4 decimal places where appropriate. The Null and Alternative Hypothesis are: Ho: mew1 = mew2 and H1: mew1 > mew2. The appropriate distribution is Student's t. What is the test statistic? What is the p-value? State the appropriate conclusion based on the information.
Pulse rates (in bpm) were collected from a random sample of females who are non-smokers but do drink alcohol. The pulse rates before they exercised had a mean of 75.08 and a standard deviation of 10.75. The pulse rates after they ran in place for one minute had a mean of 125.43 and a standard deviation of 25.92.The pulse rates before they exercised were than the pulse rates after they ran in place for one minute.

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