We conclude that we cannot reject the null hypothesis H 0H 0 since the p-value is greater than or equal to 0.01, which is 0.019814. Therefore, we can conclude that there is insufficient evidence in the sample data to draw the conclusion that feeding plants increases their height more than not feeding them.
When the population standard deviations are known, the test statistic required to conduct the hypothesis test for the distinction between two population means is provided by
Z c=\dfrac{(\bar{x} 1-\bar{x} 2)-(\mu 1-\mu 2)}
Z c = n 1 = sqrt dfrac sigma 12 n 1 + dfrac sigma 2 n 2
n 1n 1 and n 2n 2 are the sample means, mu 1-mu 2(1 2) is the difference between the population means discovered from the null hypothesis, sigma 1 1 and sigma 2 2 are the population standard deviations, and sigma 1 1 and sigma 2 2 are the population standard deviations.
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