Answered: 1. The sample mean weights for two…

Name: 1. The sample mean weights for two varieties of lettuce grown for 16 d
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Description: 1. The sample mean weights for two varieties of lettuce grown for 16 days in a controlled environment are 3.259 and 1.413 and the corresponding sample standard deviations are .400 and .220. If the sample sizes for the two varieties are 9 and 6 respec

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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1. The sample mean weights for two varieties of lettuce grown for 16 days in a controlled environment are 3.259 and 1.413 and the corresponding sample standard deviations are .400 and .220. If the sample sizes for the two varieties are 9 and 6 respectively, what would be the pair of hypotheses to test if the two varieties of lettuce have the same average weight? (Given: weight of each variety of lettuce is normally distributed).

A. H0: μ1 ≠ μ2 vs H1: μ1 = μ2

B. H0: μ1 = μ2 vs H1: μ1 ≠ μ2

C.H0: μ1 > μ2 vs H1: μ1 ≤ μ2

D. H0: μ1 ≤ μ2 vs H1: μ1 > μ2

2. What is the best decision using critical value approach in problem 1?

A. The computed test statistic falls in the critical region and we do not reject the null hypothesis.

B. The computed test statistic does not fall in the critical region and we do not reject the null hypothesis.

C. The computed test statistic falls in the critical region and we reject the null hypothesis.

D. The computed test statistic does not fall in the critical region and we reject the null hypothesis.

3. How do you conclude here based on problem 2 above?

A. At 5% level, the two varieties of lettuce have exactly the same average weight.

B. At 5% level, the two varieties of lettuce do not have significantly different average weight.

C. At 5% level, the two varieties of lettuce have significantly different average weight.

D. At 5% level, one variety of lettuce has significantly higher average weight.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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