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In: Statistics and Probability

it has been hypothesized that the average germination time for a certain seed is 4 days....

it has been hypothesized that the average germination time for a certain seed is 4 days. an experiment involving 32 seeds revealed an average germination time of 6 days. at the level of significance 0.05. is there evidence that average germination times has increased? (standard deviation=0.80 days). P-value method

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Expert Solution

Solution :

Given that,

Population mean = = 4

Sample mean = = 6

Sample standard deviation = s = 0.80

Sample size = n = 32

Level of significance = = 0.05

This a right (One) tailed test.

The null and alternative hypothesis is,  

Ho: 4

Ha: 4

The test statistics,

t = ( - )/ (s/)

= ( 6 - 4 ) / ( 0.80 / 32 )

= 14.142

P-value = 0

The p-value is p = 0 < 0.05, it is concluded that the null hypothesis is rejected.

Conclusion :

It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence tthat average germination times has increased, at the 0.05 significance level.

orchestra answered 3 years ago
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