8. The net weight in pounds of a packaged chemical herbicide is uniform for49.75 < x < 50.25 pounds.a. Determine the mean and variance of the weight of packages.b. Determine the cumulative distribution function of the weight of packages.Determine P(X < 50.1)C.

Answered: The net weight in pounds of a packaged…

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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The average retirement age in America is 62 years old. Gerardo thinks that yoga teachers owners retire at age that is younger than average. The data below shows the results of a survey of yoga teachers about the age where they retired. Assume that the distribution of the population is normal. 49, 65, 66, 65, 51, 65, 51, 47, 57, 60, 66 Download CSV or cut and paste into Desmos E. We want to test Gerardo's claim at the 0.09 level of significance. i) For this study, which type of test should we use? t-test for a population mean ii) The null and alternative hypotheses would be: Но: 62 На: 62 ii) The test statistic is 1.59 (Please round your answer to 2 decimal places.) iii) The p-value = 0.072 (Please round your answer to 3 decimal places.) iv) What is our conclusion regarding the null hypothesis? Explain. The data suggest the population mean number of retire teachers that own a yoga store is not significantly less than 62 years old at 0.09 level, so there is insufficient evidence to…
4. Which proportion of a normal distribution is located between the mean and z = +1.40? 5. A vertical line drawn through a normal distribution at z = +2.11 separates the distribution into two sections, the body and the tail. Which proportion of the distribution is in the tail?
Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about ? = 28 ml/kg.† Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 32 25 42 34 32 39 31 I need help with sketching the distribution (d) and (e)
A psychologist believes that youths identified as lesbian, gay, or bisexual already know their sexual orientation before they turned 18. To verify this, she took a random sample of 654 young adults that identified as lesbian, gay, or bisexual and asked them the age when they first realized their sexual orientation. It is known that the mean age when a young adult first realized they might be lesbian, gay, or bisexual is normally distributed. R COMMANDER OUTPUT sd se (mean) mean n 14.72199 14.9814 0.57568 654 95 percent confidence interval: 13.572 15.872
Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…
For the residents in 2014, use R to calculate the interval with 99% certainty that the interval contains the actual population mean of the residents by census tracts. Type in the interval with keyboard. We also know that in each year, the number of residents by census tract in the State of Maryland follows a normal distribution, and the variance in the number of residents within the State of Maryland is the same for different years. POP2014: 3072, 1989, 3794, 2689, 3211, 3722, 4385, 4009, 7598, 3862, 3097, 2726, 4881, 4157, 2570, 2512, 2518, 4863, 4147, 7139, 6067, 6819, 3705, 3239, 3824, 4977, 2576, 2940, 9791, 5231, 5634, 5337, 4205, 3888, 5562, 3335, 3770, 1808, 2045, 1532, 5420, 4993, 6109, 4377, 5424, 4976, 4507, 3738, 2827, 3485, 1559, 5199, 4702, 3971, 3803, 3356, 4670, 3816, 5477, 4760, 3126, 3630, 3755, 3795, 2578, 3382, 4005, 2442, 6096, 3799, 3843, 3836, 6046, 6431, 3561, 3142, 4829, 5058, 2471, 6119, 3523, 3094, 3146, 3356, 2618, 2366, 4266, 4016, 6080, 1554, 6878, 3645,…
The average number of cavities that thirty-year-old Americans have had in their lifetimes is 5. Do twenty year-olds have fewer cavities? The data show the results of a survey of 15 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 3, 4, 4, 4, 5, 5, 6, 4, 5, 4, 3, 5, 6, 5, 3 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v|| Select an answer H: ?v Select an answer v c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly less than 5 at o =- 0.05, so there is sufficient evidence to conclude that the population mean number of cavities for…
Researchers wanted to determine if carpeted rooms contained more bacteria than uncarpeted rooms. To determine the amount of bacteria in a room, researchers pumped the air from the room over a Petri dish at the rate of 1 cubic foot per minute for eight carpeted rooms and eight uncarpeted rooms. Colonies of bacteria were allowed to form in the 16 Petri dishes. The results are given in the table below. Assume the distribution to be approximately normal. Do carpeted rooms have more bacteria than uncarpeted rooms? Carpeted Rooms Uncarpeted Rooms 11.7 12.0 8.2 8.3 7.1 3.8 13.1 7.3 10.6 12.0 10.1 11.1 14.8 10.3 14.0 13.7 What is the critical value(s) for this hypothesis test if group 1 is the carpeted rooms and group 2 is the uncarpeted rooms. 1.895 2.306 2.365 1.833 1.860
The average number of cavities that thirty-year-old Americans have had in their lifetimes is 7. Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 13 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 9, 8, 8, 10, 10, 9, 9, 10, 6, 6, 9, 8, 8 What can be concluded at the α = 0.01 level of significance? The p-value = _______ (Please show your answer to 4 decimal places.) The p-value is _______ α Based on this, we should _________ the null hypothesis.

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The net weight in pounds of a packaged chemical herbicide is uniform for 49.75 < x < 50.25 pounds. a. Determine the mean and variance of the weight of packages. b. Determine the cumulative distribution function of the weight of packages. Determine P(X < 50.1) 8. C.