We wish to estimate the mean price of gasoline(per gallon) at gas stations across Saskatchewan,assuming that these prices are normallydistributed with a population standard deviation of16.7 cents.We want to determine the minimum sample sizethat is required, if we want our 99% intervalestimate to have a maximum error of 2.5 cents.Note: For the calculation below, choose theappropriate z-score value from the following list:1.05, 1.28, 1.44, 1.645, 1.88, 1.96, 2.1, 2.33, 2.575The minimum sampleisWhat are we actually sampling? In other words,what does the sample size refer to?We are sampling 'n' ..:Dorgallons of gasolinegas stationscentsdollarspeople

Given information- Population standard deviation, σ = 16.7 cents Confidence interval = 0.99…

Answered: We wish to estimate the mean price of…

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 bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.03 gallon. You select a random sample of 45 bottles, and the mean amount of water per 1-gallon bottle is 0.996 gallon. Complete parts (a) through (d) below. a. Is there evidence that the mean amount is different from 1.0 gallon? (Use a = 0.01.) Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H, . Ho: H What is the test statistic? ZSTAT = (Round to two decimal places as needed.) What is/are the critical value(s)? (Use a = 0.01.) (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? O A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean…
Some studies show that the mean normal body temperature is actually somewhat lower than the commonly given value of 98.6°F. This is reflected in the following data set of vody temperatures. 98.7 100.8 97.6 98.1 97.6 99.5 98.6 97.4 97.8 98.2 96.3 98.2 99.0. 98.5 98.8 a. Find the mean and sample standard of deviation of the body temperatures. Round each result to the nearest hundredth.
A variable is normally distributed with mean 32 and standard deviation 12. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 16.4. b) Find the area under the normal curve to the left of the data value 52.4. c) Find the area under the normal curve to the right of the data value 27.2. d) Find the area under the normal curve to the right of the date value 37.4, e) Find the area under the normal curve between the data values 37.4 and 52.4.
A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 21.2 pounds and a standard deviation of 4.6 pounds. Step 1 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 85 people on this diet, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.
Use Figure 9.5 to determine the achieved upper deviation rate and the above table to determine the assessed level of control risk under the following circumstances. Assume that the sample size was 75 items. (Round your answers to 1 decimal place.) Answer is not 13.6% for the last one
A variable is normally distributed with mean 34 and standard deviation 11. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 63.7. b) Find the area under the normal curve to the left of the data value 2.1. c) Find the area under the normal curve to the right of the data value 30.7. d) Find the area under the normal curve to the right of the date value 29.05. e) Find the area under the normal curve between the data values 2.1 and 29.05.
The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.65 inches and a standard deviation of 0.06 inch. A random sample of 12 tennis balls is selected. Complete parts (a) through (d) below. a. What is the sampling distribution of the mean? O A. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 will also be approximately normal. B. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 will not be approximately normal. C. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 will be the uniform distribution. D. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 cannot be found. b. What is the probability that the sample…
A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.03 gallon. You select a random sample of 45 bottles, and the mean amount of water per 1-gallon bottle is 0.994 gallon. Complete parts (a) through (d) below. 1.96,-1.96 (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? A. Fail to reject Ho. There is not sufficient evidence that the mean amount is different from 1.0 gallon. OB. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon. OC. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean amount is different from 1.0 gallon. D. Fail to reject Ho. There is sufficient…
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A boat capsized and sank in a lake. Based on an assumption of a mean weight of 142 lb, the boat was rated to carry 60 passengers (so the load limit was 8,520 lb). After the boat sank, the assumed mean weight for similar boats was changed from 142 lb to 171 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 60 passengers, and assume that the weights of people are normally distributed with a mean of 178.5 lb and a standard deviation of 36.9 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 142 lb. The probability is 1.000. (Round to four decimal places as needed.) C.. b. The boat was later rated to carry only 13 passengers, and the load limit was changed to 2,223 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 171 (so that their total weight is greater than the maximum capacity of 2,223 lb). The probability is. (Round to four decimal…
A medical researcher wishes to estimate the mean systolic blood pressure of heart surgery patients the day following surgery. She desires a margin of error of 2.2 mmHg. Past studies suggest that a population standard deviation of 41 mmHg is reasonable. Estimate the minimum sample size needed to estimate the population mean with the stated accuracy. OA. 1,389 OB. 37 OC. 695 OD. 3,056 $ 10 % 9: 17 [7] hp C 8 BICCE 9 ho ) fi num Ik + insert Next 5:04 PM 10/13/2022 prt scr backspace delete

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