A researcher compares two compounds (1 and 2) used in the manufacture of car tires that are designed to reduce braking distances for SUVs equipped with the tires.The mean braking distance for SUVs equipped with tires made with compound 1 is 68 feet, with a population standard deviation of 13.9. The mean braking distance forSUVS equipped with tires made with compound 2 is 73 feet, with a population standard deviation of 13.7. Suppose that a sample of 72 braking tests are performed foreach compound. Using these results, test the claim that the braking distance for SUVs equipped with tires using compound 1 is shorter than the braking distance whencompound 2 is used. Let ₁ be the true mean braking distance corresponding to compound 1 and ₂ be the true mean braking distance corresponding to compound 2.Use the 0.05 level of significance.Step 2 of 5: Compute the value of the test statistic. Round your answer to two decimal places.

Step 1: State the given: sample mean for compound 1, x̄1 = 68 feetpopulation standard deviation for…

Answered: A researcher compares two compounds (1…

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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A scientist wants to establish if the Mississippi’s river height has increased using data from 1970 and 2020. Historically, it’s known that the variance of the height within any given year is 4.5ft. The sample from 1970 has 80 measurements with ?1μ1 = 30ft and the sample from 2020 has 260 measurements with ?2μ2 = 31.5ft. Find a 95% confidence interval for the average increase of height.
Suppose there are two different vaccines for Covid, Vaccine X and Vaccine Y. An interesting question is which vaccine has a higher 6-month antibody effectiveness quotient (6AEQ). To examine this we randomly select 75 recipients of vaccine X and 83 recipients of vaccine Y. The vaccine X recipients had a mean 6AEQ of x = 129. The vaccine Y recipients had a mean 6AEQ of y = 133. It is recognized that the true standard deviation of 6AEQ for vaccine X recipients is a = 9.7 while it is recognized that the true standard deviation of 6AEQ for vaccine Y recipients is σy = 10.7. The true (unknown) mean 6AEQ for vaccine X recipients is x, while the true (unknown) mean 6AEQ for vaccine Y recipients is My. 6AEQ measurements are known to be a normally distributed. In summary: Type Sample Size Sample Mean Standard Deviation Vaccine X 75 129 Vaccine Y 83 133 9.7 10.7 a)Calculate the variance of the random variable X which is the mean of the 6AEQ measurements of the 75 vaccine X recipients. b)Calculate…
An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 71 type K batteries and a sample of 50 type Q batteries. The mean voltage is measured as 9.33 for the type K batteries with a standard deviation of 0.153, and the mean voltage is 9.68 for type Q batteries with a standard deviation of 0.366. Conduct a hypothesis test for the conjecture that the mean voltage for these two types of batteries is different. Let u be the true mean voltage for type K batteries and Hz be the true mean voltage for type Q batteries. Use a 0.05 level of significance. Step 3 of 4: Determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion of your answer to two decimal places. 囲 Tables E Keypad Answer Keyboard Shortcuts Previous Step Answers Reject Ho if Submit Answer O 2020 Hawkes Learning 7:08 AM P Search for anything A 11/25/2020
The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16 cost reports for each of the two departments shows cost variances of 2.4 and 5.6, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? Use a = 0.10. You may need to use the appropriate technology to answer this question. State the null and alternative hypotheses. 2. Ho: a H: 01 Ho 2 2 +02. = 2 02, Ha: 01 >『っ 2 Ho: 01 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places. Remember: When using WebAssign technology to find p-values, use the entire test statistic (not the rounded answer from the previous question.)) p-value = State your conclusion. Do not reject Ho. We can conclude that there is a difference between the population variances. Do not reject Hg. We cannot conclude that there is a difference…
Research has shown that, for baseball players, good hip range of motion results in improved performance and decreased body stress. A research article reported on a study of independent samples of 40 professional pitchers and 40 professional position players. For the pitchers, the sample mean hip range of motion was 75.8 degrees and the sample standard deviation was 5.6 degrees, whereas the sample mean and sample standard deviation for position players were 79.9 degrees and 7.2 degrees, respectively. Assuming that the two samples are representative of professional baseball pitchers and position players, test hypotheses appropriate for determining if there is convincing evidence that the mean range of motion for pitchers is less than the mean for position players. (Use ? = 0.05. Use ?1 for pitchers and ?2 for position players.)
A study compared the long-term results of two treatments: a modified Burch procedure, and a sling procedure for stress incontinence with a low-pressure urethra. Thirty-six women took part in the study with 19 in the Burch treatment group and 17 in the sling procedure treatment group. One of the outcome measures at three months post-surgery was maximum urethral closure pressure (cm H2O). In the Burch group the mean and standard deviation were 16.4 and 8.2 cm, respectively. In the sling group, the mean and standard deviation were 39.8 and 23.0, respectively. Construct the 99% confidence interval for the difference in mean maximum urethral closure pressure for the two populations represented by these subjects. What is the critical value of the confidence interval for difference in means? what is the lower bound of a 99% confidence interval for the difference in means? (Burch-Sling) what is the upper bound of a 99% confidence interval for the difference in means? (Birch-Sling)
A company that makes basketballs has the motto, "Our basketballs are ready to play." Therefore, it is important to the company that the basketballs are inflated with the proper amount of air when shipped. Most basketballs are inflated to 7 to 9 pounds per square inch. From a set of calibration data, X = 8.03 and R=0.57. Recently the company selected a random basketball from its production line at four different time periods over its normal production day. The results were listed in the accompanying table. Complete parts a through c. Click the icon to view the data table. Click the icon to view the factors for calculating control limits. a) Create an x-bar chart based on the calibration data statistics for these 6 samples. Choose the correct graph below. OA. O B. 2 3 4 5 6 Group 1.6-1 1.2- 0.8- 0.4- 1 2 3 4 5 Group 6 Q UCL CL LCL Q Ucha CL 8.6 8.4- b) Create an R chart based on the calibration data statistics for these 6 samples. Choose the correct graph below. O A. O B. LCL 8.24 8 7.8…
Research has shown that, for baseball players, good hip range of motion results in improved performance and decreased body stress. A research article reported on a study of independent samples of 40 professional pitchers and 40 professional position players. For the pitchers, the sample mean hip range of motion was 75.5 degrees and the sample standard deviation was 5.8 degrees, whereas the sample mean and sample standard deviation for position players were 79.1 degrees and 7.1 degrees, respectively. Assuming that the two samples are representative of professional baseball pitchers and position players, test hypotheses appropriate for determining if there is convincing evidence that the mean range of motion for pitchers is less than the mean for position players. (Use ? = 0.05. Use ?1 for pitchers and ?2 for position players.) State the appropriate null and alternative hypotheses. Find the test statistic and P-value. (Use SALT. Round your test statistic to one decimal place and…
An agricultural company is trying to decide which type of fertilizer to use on its crops. The company concerned with the average yield on its crops as well as the variance of their yields. In a sample of 41 different fields with using fertilizer A, the average crop yield per acre is 185 tons with a standard deviation of 35 tons. In a separate sample of 61 different fields using fertilizer B, the average crop yield is 175 tons with a standard deviation of 28 tons. When testing the hypothesis (at the 1% level of significance) that there is no difference between the average yields using the different fertilizers, what is the null and alternative hypotheses?
Suppose a researcher is interested in a new treatment plan for CD4 cell count in immune-compromised patients with HIV. In order to investigate the new drug, the researcher gathers a group of 25 individuals with a mean CD4 count of 335 cells/mm3 after treatment with a standard deviation of 12.1. Test the hypothesis that the mean CD4 count goal is not 329.28 cells/mm3. Perform a two-way directional test, complete the 5 step process and calculate the appropriate confidence interval. (Use an alpha level of 0.01
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Find the critical value for a test for correlation with α = 0.01 for a sample size of 18.

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