Question

In: Statistics and Probability

Coconut palm is a multiple use tree, and is consider as one of the ten most...

Coconut palm is a multiple use tree, and is consider as one of the ten most useful trees in the world. The heights of a sample of 15 full-grown coconut trees are given below in meters:

20.5, 30.1, 26.7, 22.7, 27.9, 30, 32.4, 20.7, 28.4, 25.9, 28.5, 23.8, 28, 29.4, 26.9

If the heights of all coconut trees are normally distributed, test that the mean height is greater than 25 meters.

1- What is the null hypothesis?

2- What is the alternative hypothesis?

3- What is the inference method?

4- What is the value of the test statistic?

5- What is the number of degrees of freedom of the test?

6- What is the p-value of the test?

7- What is your decision?

Question 7 options:

	Reject the null hypothesis at level 0.05.
	Reject the alternative hypothesis at level 0.05.
	Fail to reject the null hypothesis at level 0.05.
	Reject the alternative hypothesis at level 0.05.

Expert Solution

Solution:

1) Null hypothesis is:- Ho: μ = 25

2) Alternative hypothesis is:- Ha: μ > 25

3) T-test for one sample mean (right tail)

4) Test statistic t= 1.987

5) degrees of freedom= n-1= 15-1= 14

6) p-value= 0.0334

7) Reject the null hypothesis at level 0.05

Calculations:

orchestra answered 1 year ago

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