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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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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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 would be the degree of freedom for the test statistic in problem 1?

A. 6

B. 9

C. 12.7

D. 14

3. What would be the computed test statistic in problem 1?

A. 2.93

B. 3.57

C. 8.44

D. 11.48

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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