ifetime of electronics: In a simple random sample of 100 electronic components produced by a certain method, the mean20fetime was 125 hours. Assume that component lifetimes are normally distributed with population standard deviation o =ours, Round the critical value to no less than three decimal places.Part 1 of 2(a) Construct an 80% confidence interval for the mean battery life. Round the answer to the nearest whole number.An 80% confidence interval for the mean battery life is 122 < µ < 128Part: 1 / 2Part 2 of 2(b) Find the sample size needed so that a 90% confidence interval will have a margin of error of 3.A sample size ofis needed so that a 90% confidence interval will have a margin of errorof 3. Round the sample size up to the nearest integer.Save For LaterSubmit AssignmeCheck Answer2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Ce

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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 weight loss program claims that program participants have a mean weight loss of at least 12 pounds after 1 month. You work for a medical association and are asked to test this claim. A random sample of 30 program participants and their weight losses (in pounds) after 1 month is listed in the table below. Assume the population standard deviation 4. At α = 0.03, do you have enough evidence to reject the program's claim? Complete parts (a) through (e). 5.1 5.2 6.5 6.9 7.2 8.7 9.2 9.4 9.5 9.7 11.1 11.2 11.6 11.6 11.9 (a) Identify Ho and H₂. Choose the correct answer below. O A. Ho: μ ≥ 12 H₂: 12 7.3 7.4 9.7 10.1 12.4 12.5 O E. Ho: μ 12 H₂:μ≤ 12 O D. Ho: μ#12 H₂:μ = 12 OF. Ho: H=12 H₂:μ#12 8.5 10.6 15.2
Traffic Highway planners investigated the relationshipbetween traffic Density (number of automobiles per mile)and the average Speed of the traffic on a moderately largecity thoroughfare. The data were collected at the samelocation at 10 different times over a span of 3 months.They found a mean traffic Density of 68.6 cars per mile(cpm) with standard deviation of 27.07 cpm. Overall, the cars’ average Speed was 26.38 mph, with standard devia-tion of 9.68 mph. These researchers found the regression line for these data to be Speed = 50.55 - 0.352 Density.a) What is the value of the correlation coefficientbetween Speed and Density?b) What percent of the variation in average Speed isexplained by traffic Density? c) Predict the average Speed of traffic on the thorough-fare when the traffic Density is 50 cpm. d) What is the value of the residual for a traffic Densityof 56 cpm with an observed Speed of 32.5 mph?e) The data set initially included the point Density =125 cpm, Speed = 55 mph. This…
Estimate population mean (σ is unknown): A sample of 25 novels has a mean of 12 and standard deviation of 9 pages. Find the 89% confidence interval of the population mean (Round to 2 decimal places):
If a Type I error is made, what conclusion will be drawn regarding the mean breaking strength?
Drill lifetime: A sample of 50 drills had a mean lifetime of 12.01 holes drilled when drilling a low-carbon steel. Assume the population standard deviation is 6.49. Part: 0/ 3 Part 1 of 3 (a) Construct a 95% confidence interval for the mean lifetime of this type of drill. Use tables or technology. Round your answers to at least two decimal places. The confidence interval is ( D. NOV G W MacBook Air 80 888 DII F9 F10 F2 F3 F4 F5 F6 F7 F8
Question 2 A population has parameters u = 36.1 and o = 49.7. You intend to draw a random sample of size n = 163. What is the mean of the distribution of sample means? What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) Question Help: DVideo MMessage instructor DPost to forum Submit Question e Type here to search f2 esc ? 米 f6 144 IOI f8 $ 4. 1 3. 9. tab E R Y caps lock AL D 7. LL %24 CO
* Question Completion Status: OC. 0.0099 d. 0.0918 QUESTION 3 EPA fuel economy estimates for automobile models tested recently predicts a mean of 24 mpg and a standard deviation of 6 mpg. Assume that a Normal model applies, N(24, 6 ). What mpg for the automobiles would be the cutoff value for the lowest 10% of the mpg's (the 10th percentile of gas mileage)? O a. 12.80 mpg O b. 10.00 mpg O c. 31.38 mpg O d. 16.32 mpg QUESTION 4
U.0 of 15 pts 2.5.49 Question Help A certain brand of automobile tire has a mean life span of 36,000 miles and a standard deviation of 2,100 miles (Assume the life spans of the tires have a bell-shaped distributon) (a) The life spans of three randomly selected tires are 35,000 miles, 38,000 milos, and 31,000 miles. Find the z-score that corresponds to each life span For the lfe span of 35,000 mies, 2-score is (Round to the nearest hundredth as needed)
II Sh) with Zcrit of Therefore, (a = .01). %66 Level of Confidence Fail to Reject Reject Reject 0.5% 0.5% Zcrit = -2.576 bubiy Z crit = +2.576 3.33 %3D Let's Practice Two-Tailed Z Test Blood glucose levels for obese patients have a mean of 100 with a standard deviation of 15. A researcher thinks that a diet high in raw corn starch will have a negative or positive effect on blood glucose levels. A sample of 30 patients who have tried the raw corn starch diet have a mean glucose level of 140. Test the hypothesis that the raw cornstarch had an effect at a significant level of 0.05 Step 1: Determine the null hypothesis %3D = 11 : °H +ri : "H Step 2: Two-tailed test Step 3: Select significance level a = Step 4: Do we do a Z test of T test? Step 5: Find the critical value Zerii from the t Table. Level of Confidence Draw and label the graph. Fail to Reject From the t Table. Zerit for a= 0.05, + 1.96 Reject Reject Note that a= 0.05 (5%) means 2.5% in each tail. This alpha level indicates the…
Energy drinks: A survey of college students reported that in a sample of 402 male college students, the average number of energy drinks consumed per month was 2.41 with a standard deviation of 3.18, and in a sample of 390 female college students, the average was 1.50 with a standard deviation of 4.77. Part: 0/2 Part 1 of 2 Construct a 80% confidence interval for the difference between men and women in the mean number of energy drinks consumed. Let μ, denote the mean number of energy drinks consumed by men. Use tables to find the critical value and round the answers to at least two decimal places. A 80% confidence interval for the difference between men and women in the mean number of energy drinks consumed is 0<44-₂2 <0. X S Part: 1/2 Part 2 of 2 Based on the confidence interval, is it reasonable to believe that the mean number of energy drinks consumed may be the same for both male and female college students? It (Choose one) reasonable to believe that the mean number of energy drinks…
A random sample of n1 = 49 measurements from a population with population standard deviation ?1 = 3 had a sample mean of x1 = 10. An independent random sample of n2 = 64 measurements from a second population with population standard deviation ?2 = 4 had a sample mean of x2 = 12. Test the claim that the population means are different. Use level of significance 0.01. (a) Check Requirements: What distribution does the sample test statistic follow? Explain. The Student's t. We assume that both population distributions are approximately normal with known standard deviations.The standard normal. We assume that both population distributions are approximately normal with known standard deviations. The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. (b) State the hypotheses. H0: ?1 = ?2;…
We want to conduct a hypothesis test of the claim that the population mean reading speed of second graders is different from 29 words per minute. So, we choose a random sample of students' reading speeds. The sample has a mean of 28.4 words per minute and a standard deviation of 2.5 words per minute. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 18, and it is from a normally distributed population with an unknown standard deviation. O z = O It is unclear which test statistic to use.

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