Answered: Two types of smudge pots were tested…

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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Question

Two types of smudge pots were tested for use to protect orchards from frost. A grapefruit grower wants to compare them in terms of how long they burn before dying out. Two samples of burning times for 10 smudge pots each are recorded below. It is desired to test whether or not there is a difference between mean burning times for the two types of smudge pot. The burning times (in minutes) were: Type 1: 612 583 629 595 653 596 624 564 576 593 Type 2: 592 607 696 686 680 669 697 729 694 662 (i) Assume that the data behave as if they were two independent random samples from two different normal populations with the same variance. State the appropriate null and alternative hypothesis, and test the null hypothesis at alpha=0.05. What is the resulting P-value? (Hint:: The first sample has mean 602.50 and sample standard deviation 26.99. The second sample has mean 671.20 and sample standard deviation 42.06. ) (ii) What test statistic did you use? What is its distribution under the null hypothesis? (iii) Find a 95% confidence interval for the difference in mean burning time between the two types of pot.

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