A biologist is testing to see whether applying organic fertilizer to a corn plant results in more ears of corn per stalk. An experiment is conducted and data are collected from 33 treated stalks and 48 treated stalks. The treated stalks (sample A) produce an average of 2.28 ears of corn with a standard deviation of 0.37. The un-treated stalks (sample B) produced an average of 1.83 ears of corn with a standard deviation of 0.86. Assume that the population variances are equal. a. State the null and alternative hypothesis for the claim that the average number of ears per stalk is higher for the treated stalks. b. Calculate the standardized test statistic for the hypothesis test, rounded to 2 decimal places. Keep in mind that the formula for the denominator depends on whether the test is pooled or unpooled. You can view the two formulas in a new tab here. c. Calculate the p-value of the hypothesis test, rounded to 4 decimal places. d. Come to a conclusion at the 0.05 significance level. Reject or fail to reject the null hypothesis
A biologist is testing to see whether applying organic fertilizer to a corn plant results in more ears of corn per stalk. An experiment is conducted and data are collected from 33 treated stalks and 48 treated stalks. The treated stalks (sample A) produce an average of 2.28 ears of corn with a standard deviation of 0.37. The un-treated stalks (sample B) produced an average of 1.83 ears of corn with a standard deviation of 0.86. Assume that the population variances are equal.
a. State the null and alternative hypothesis for the claim that the average number of ears per stalk is higher for the treated stalks.
b. Calculate the standardized test statistic for the hypothesis test, rounded to 2 decimal places. Keep in mind that the formula for the denominator depends on whether the test is pooled or unpooled. You can view the two formulas in a new tab here.
c. Calculate the p-value of the hypothesis test, rounded to 4 decimal places.
d. Come to a conclusion at the 0.05 significance level. Reject or fail to reject the null hypothesis
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