A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallonbottles purchased from a nationally known water bottling company is actually 1 gallon. You know fromwater bottling company specifications that the standard deviation of the amount of water is 0.006 gallorYou select a random sample of 45 bottles, and the mean amount of water per 1-gallon bottle is 0.995gallon. Complete parts (a) through (e) below.a. Is there evidence that the mean amount is different from 1.0 gallon? (Use α = 0.05.)Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H₁. Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H₁.HouH₁: H1.01.0

Solution-: Given: μ0=1,σ=0.006,x¯=0.995,n=45,α=0.05 We want to find (a) Is there evidence that the…

Answered: A bottled water distributor wants to…

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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For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 37 beats perminute, the mean of the listed pulse rates is x=77.0 beats per minute, and their standard deviation is s=24.8 beats per minute. a. What is the difference between the pulse rate of 37 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 37 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 37 beats per minute significant?
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 71.9 Mbps. The complete list of 50 data speeds has a mean of x 17.38 Mbps and a standard deviation of s = 19.81 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a))? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?
3) The lengths of a certain type of North Atlantic croaker fish are normally distributed. A sample of 1400 fish were collected and x = 10 inches and s= 2 inches. About how many fish will be between 8 and 14 inches in length? Home/ AX 28 10 en below 11 20 n 22 12 17 25 1, deviation Sx. 2) Sample ACT scores for a particular iation of 2.75 inches. What percentage of women
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 72.6 Mbps. The complete list of 50 data speeds has a mean of x=18.29 Mbps and a standard deviation of s=19.75 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant? Question content area bottom Part 1 a. The difference is 54.3154.31 Mbps. (Type an integer or a decimal. Do not round.) Part 2 b. The difference is enter your response here standard deviations. (Round to two decimal places as needed.)
Consider the data from the Anthropology 105 class. The mean for women is 64.33 in and the standard deviation is 2.64 in. The average height of men in the US is approximately 5ft 10in. What proportion of women represented here are shorter than the average man?
Assume that the Leaf Area Index over a management area is normally distributed with a mean of 3 and a standard deviation of 0.2. One sample area shows a LAI of 2.76. How many standard deviations is this measurement from the mean?
Consider Ho: μ = 31 versus H₁: μ#31. A random sample of 36 observations taken from this population produced a sample mean of 27.70. The population is normally distributed with σ = 9. Note: Use Table IV in Appendix C to compute the probabilities. (a) Calculate the p-value. Round the answer to four decimal places. p-value = 0.0278 (b) Considering the p-value of part (a), would you reject the null hypothesis if the test were made at the significance level of 0.05? the null hypothesis. Reject (c) Considering the p-value of part (a), would you reject the null hypothesis if the test were made at the significance level of 0.01? the null hypothesis. Do not reject
7.
Suppose the measurement of 800 items are normally distributed with mean 66 cm and standard deviation 5 cm, the number of items with measures 72 cm or more is A. 702 B. 708 C. 92 D. 98

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