The number of hours of reserve capacity of 10 randomly selected automotive batteries is shown to the1.721.811.551.661.75right.1.931.361.561.472.03Assume the sample is taken from a normally distributed population. Construct 95% confidence intervals for (a) the population variance o² and (b) the population standard deviation σ.(a) The confidence interval for the population variance is (☐☐).(Round to three decimal places as needed.)

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Answered: The number of hours of reserve capacity…

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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Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) to (c) below. Reduction in Pain Level After Magnet Treatment (μ₁): n = 15, x=0.45, s=1.02 Reduction in Pain Level After Sham Treatment (2): n = 15, x=0.38, s=1.55 a. Use a 0.01 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment (similar to a placebo). What are the null and alternative hypotheses? OA. Ho H1 H2 oc Hoi HH2 H₁: H1 H2 B. Ho: H1 H2 H₁₁₂ OD. Ho H1 H2 The test statistic, t, is (Round to two decimal places as needed.)
Use technology to construct the confidence intervals for the population variance o² and the population standard deviation a. Assume the sample is taken from a normally distributed population. c=0.99, s= 33, n= 16 The confidence interval for the population variance is ( ). (Round to two decimal places as needed.) The confidence interval for the population standard deviation is ( ). (Round to two decimal places as needed.)
Construct a confidence interval for the A) population variance and the b) population standard deviation
Use technology to construct the confidence intervals for the population variance sigmaσsquared2 and the population standard deviation sigmaσ. Assume the sample is taken from a normally distributed population. c=0.98, s=39, n=18
The distribution of study times for first year students follows a Normal distribution with standard deviation σσ = 54 minutes. Suppose a sample of 487 students found that the mean study time for these students was x¯x¯= 173 minutes per week. Use this to find a 88.28% confidence interval to estimate the mean study time for all students. We are 88.28% confident that the mean study time for first year students is between minutes_____ and ____ minutes. What is the margin of error for your confidence interval?
A random sample of 10 subjects have weights with a standard deviation of 12.7436 kg. What is the variance of their weights? Be sure to include the appropriate units with the result. The variance of the sample data is (Round to four decimal places as needed.)
Use technology to construct the confidence intervals for the population variance o and the population standard deviation o. Assume the sample is taken from a normally distributed population. c= 0.90, s = 5.76, n = 26 The confidence interval for the population variance is ( ). (Round to two decimal places as needed.) The confidence interval for the population standard deviation is ( ). (Round to two decimal places as needed.)
Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) to (c) below. Reduction in Pain Level After Magnet Treatment (μ1): n=27, x=0.46, s=0.89 Reduction in Pain Level After Sham Treatment (μ2): n=27, x=0.42, s= 1.43 * Find the t stat * Find the p value * state the conclusion * Does the confidence interval support the conclusion of the test * Does it appear that magnets are effective in treating back pain? Is it valid to argue that magnets might appear to be effective if the sample sizes are larger? * Is it valid to argue that magnets might appear to be…
The waiting times (in minutes) of a random sample of 20 people at a bank have a sample standard deviation of 3.5 minutes. Construct a confidence interval for the population variance o and the population standard deviation a. Use a 90% level of confidence. Assume the sample is from a normally distributed population. What is the confidence interval for the population variance o2? (O) (Round to one decimal place as needed.) Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to one decimal place as needed.) O A. With 10% confidence, you can say that the population variance is greater than O B. With 10% confidence, you can say that the population variance is between and O C. With 90% confidence, you can say that the population variance is less than O D. With 90% confidence, you can say that the population variance is between and What is the confidence interval for the population standard deviation o? () (Round to one decimal…
esc A chain of restaurants has historically had a mean wait time of 9 minutes for its customers. Recently, the restaurant added several very popular dishes back to their menu. Due to this, the manager suspects the wait time, μ, has increased. He takes a random sample of 44 customers. The mean wait time for the sample is 9.6 minutes. Assume the population standard deviation for the wait times is known to be 3.3 minutes. Can the manager conclude that the mean wait time is now greater than 9 minutes? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: D H₁: 0 (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by Standard Normal Distribution Step 1: Select one-tailed or two-tailed.. O One-tailed O Two-tailed Explanation H Check OO MacBook Pro Español ? CÙ D 19 As Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of…
The z confidence interval for the mean of a Normal population will have a specified margin of error m when the sample size is: a. n = (=*o/m). b. n = (z/m)². O c. n = (*o/m)². d. n ==*o/m.

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