A manufacturer fills soda bottles. Periodically the company tests to see if there is a difference between the mean amounts of soda put in bottles of regular cola and dietcola. A random sample of 18 bottles of regular cola has a mean of 499.5 mL of soda with a standard deviation of 4.7 mL. A random sample of 16 bottles of diet cola hasa mean of 501.7 mL of soda with a standard deviation of 3.5 mL. Test the claim that there is a difference between the mean fill levels for the two types of soda using a0.10 level of significance. Assume that both populations are approximately normal and that the population variances are not equal since different machines are used tofill bottles of regular cola and diet cola. Let bottles of regular cola be Population 1 and let bottles of diet cola be Population 2.Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.

The objective of this question is to test the claim that there is a difference between the mean fill…

Answered: A manufacturer fills soda bottles.…

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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Steve believes that his wife's cell phone battery does not last as long as his cell phone battery. On eleven different occasions, he measured the length of time his cell phone battery lasted and calculated that the mean was 16.4 hours with a standard deviation of 6.4 hours. He measured the length of time his wife's cell phone battery lasted on seven different occasions and calculated a mean of 23.3 hours with a standard deviation of 4.2 hours. Assume that the population variances are the same. Let Population 1 be the battery life of Steve's cell phone and Population 2 be the battery life of his wife's cell phone. Step 1 of 2: Construct a 90 % confidence interval for the true difference in mean battery life between Steve's cell phone and his wife's. Round the endpoints of the interval to one decimal place, if necessary.
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 260 mg and a standard deviation of 48 mg. In a random sample of 600 adults, how many consume at least 320 mg of caffeine daily?
Maple trees in a large forest have heights that are normally distributed with a mean of 95 feet and a standard deviation of 4.7 feet. One tree has a height of 92 feet. What is the Z-score of this height?
Condé Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a 100-point scale, with higher values indicating better service. A sample of 37 ships that carry fewer than 500 passengers resulted in an average rating of 85.35, and a sample of 43 ships that carry 500 or more passengers provided an average rating of 81.60. Assume that the population standard deviation is 4.54 for ships that carry fewer than 500 passengers and 3.99 for ships that carry 500 or more passengers. Round your all answers to two decimal places. a. What is the point estimate of the difference between the population mean rating for ships that carry fewer than 500 passengers and the population mean rating for ships that carry 500 or more passengers? b. At 95% confidence, what is the margin of error? c. What is a 95% confidence interval estimate of the difference between the population mean ratings for the two sizes of ships? to
The America Automobile Association reported that the mean price of a gallon of regular grade gasoline in the United States in October 2020 was $2.82. An economist is interested in determining whether the mean price of regular grade gasoline is cheaper (less than) in New York State. To test this, the economist sample 50 gas stations in NY and find the mean price of regular grade gasoline to be $2.77. Assume the standard deviation for the price of regular grade gasoline is $0.15. Use the critical value method to perform a hypothesis test at the 0.05 level of significance. a. Define the parameter we are testing and setup a hypothesis test to see if the mean price of gas is cheaper in NY compared to the national mean: b. Calculate the test statistics for this hypothesis test. c.What is the critical value for this hypothesis test?
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For earthquakes with a magnitude 7.5 or greater on the Richter scale, the time between successive earthquakes has a mean of 456 days and a standard deviation of 356 days. Suppose that you observe a sample of four times between successive earthquakes that have a magnitude of 7.5 or greater on the Richter scale. a. On average, what would you expect to be the mean of the four times? b. How much variation would you expect from your answer in part (a)? (Hint: Use the three-standard-deviations rule.)
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A college in the northeastern United States used SAT scores to help decide which applicants to admit. To determine whether the SAT was useful in predicting success, the college examined the relationship between the SAT scores and first-year GPAs of admitted students. The average math SAT score of a sample of 200 randomly selected students was 649.5 with a standard deviation of 66.2. The average GPA of the same students was 2.63 with a standard deviation of 0.58. The correlation between GPA and math SAT score was 0.19. (a) What does the correlation of 0.19 tell us about SAT scores and GPA scores? (You need to provide two answers.)(b) Find the equation of the least squares regression line.(c) Using the equation, predict the GPA score of a person with a math SAT score of 650.(d) Using the equation, predict the GPA score for a person with a math score of 800.
A study is done to determine which of two soft drinks has more sugar. There are 25 cans of Beverage A in the researchers' sample and 15 cans of Beverage B. The mean amount of sugar in Beverage A is 34.7 grams per can with a sample standard deviation of 0.7 grams. The mean amount of sugar in Beverage B is 33.9 grams with a standard deviation of 0.6 grams. The researchers believe that Beverage A has less sugar than Beverage B, on average. Both populations are normally distributed. Conduct a hypothesis test using a 2% level of significance. Step 1: State the null and alternative hypotheses. Ho:µA – µB 2V Ho:HA - HB V test.) (So we will be performing a left-tailed forum

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