The 95% confidence interval for a one group, continuousoutcome scenario is calculated. The mean is 4 with a 95%confidence interval of 2 to 6. These findings are interpreted inthe following manner: "We are 95% confident that the truestandard deviation is between 2 and 6." Is this a correctinterpretation?Yes, it is correctNo, it is not correct

From the provided information it is given that the desired confidence limit is 95%.The determined…

Answered: The 95% confidence interval for a one…

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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True or False Q: If a 95% confidence interval for the difference in two independent means is (-4.5 to 2.1), then the point estimate is -2.1.
A researcher is interested in studying the use of hypnosis to relieve pain. She took a random sample of 16 subjects and measured their sensory ratings. The mean of the sensory ratings was found to be 7.5 and standard deviation to be 2.3. It is known that the sensory ratings are normally distributed. Construct a 99% confidence interval for the mean sensory ratings of the population. a) (5.81, 9.19) b) (6.27, 8.73) c) (6.36, 8.64) d) (6.02, 8.98)
A medication is undergoing a clinical trial. They have taken the blood pressure of the participants on n=25 occasions. The mean blood pressure was 132 systolic for the participants with a standard deviation of 3 points. Construct a 90% and 95% confidence interval for the true mean systolic pressure. Interpret the confidence interval in your own words. Do you think this drug is effective based on the confidence interval? Why or why not?
Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 78 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 18.1 and a standard deviation of 2.6. What is the 99% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? Enter your answers accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
Step 2 (b) Which of the two intervals conveys more precise information about the value of the population proportion? Recall that a smaller standard error of results in a narrower confidence interval. A narrower confidence interval is then more precise. The width of Interval 1, (0.27, 0.35), is 0.35 0.27 = and the width of Interval 2, (0.30, 0.34), is 0.34 -0.30 = Submit Skip (you cannot come back) Therefore, --Select--- is the narrower and more precise interval.
In a study of the use of hypnosis to relieve pain, sensory ratings were measured for 8 subjects and the mean sensory ratings was found to be 2.8 and standard deviation to be 0.3. The sensory ratings are normally distributed. The 80% confidence interval for the mean sensory ratings of the population is (9.35,11.65) b. (3.58, 4.64) (2.65, 2.95) d. (3.09, 3.91) (6.27, 8.73) a. C. e.
A random sample of 21 lunch orders at Noodles & Company showed a mean bill of $13.54 with a standard deviation of $6.45. Find the 98 percent confidence interval for the mean bill of all lunch orders. (Round your answers to 4 decimal places.) The 98% confidence interval is from _____to______
The com reported the medical doctors’ salary level. The mean salary for the doctor is $250,000 and standard deviation of $100,000. Find the following probabilities assuming that doctor’s salary has a normal distribution. Suppose we don’t have any information about population, and from a sample of 100 doctors, we find the sample mean salary was $255,000 with the standard deviation of $99,500. What is the 95% confidence interval? Based on the standard deviation of $100,000 and allow the margin of errors to $20,000, what is your sample size should be at 95% confidence 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.
A consumer advocate analyses the nicotine content in some brand of cigarettes. A sample of 20 cigarettes of that Brand was analyzed which resulted in mean of 1.68mg. It is known that population standard deviation is 18. Nicotine content is assumed to be normally distributed. Find the 90% confidence interval for the true average nicotine content in that brand of cigarettes. (clearly write down the formula first and then calculate)Also, Interpret the meaning of confidence interval.

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