determine if there is a significant difference between the average height of two different species of plants. The null hypothesis states that the population means are equal. The sample size for each species is 25 and the sample means are 15 and 16 cm, with sample standard deviations of 2 and 3 cm respectively. What is the test statistic for this hypothesis test?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A hypothesis test is being conducted to determine if there is a significant difference between the average height of two different species of plants. The null hypothesis states that the population means are equal. The sample size for each species is 25 and the sample means are 15 and 16 cm, with sample standard deviations of 2 and 3 cm respectively. What is the test statistic for this hypothesis test?
Expert Solution
Step 1

We have given that, 

n= n= 25 

s= 2 and s= 3

= 15 and x̄= 16

Then, 

We will find t- statistic? 

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