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There is a new fertilizer that is supposed to increase plant growth. To test this, 16 soy bean plants were treated with the fertilizer and grown for 3 weeks in a controlled environment. The mean height was determine to be 24 in. with a standard deviation of 8 in. When grown under the same conc ns, typical soy bean plant= are expected to grow an average height of 20 inches after 3 weeks. Was there an effect of the fertilizer on plant height? (3 points) A) Which test would you choose to answer this question? Be specific. (0.5) B) State null and alternative hypotheses as both verbal and mathematical statements. (1)

There is a new fertilizer that is supposed to increase plant growth. To test this, 16 soy bean plants were treated with the fertilizer and grown for 3 weeks in a controlled environment. The mean height was determine to be 24 in. with a standard deviation of 8 in. When grown under the same conc ns, typical soy bean plant= are expected to grow an average height of 20 inches after 3 weeks. Was there an effect of the fertilizer on plant height? (3 points) A) Which test would you choose to answer this question? Be specific. (0.5) B) State null and alternative hypotheses as both verbal and mathematical statements. (1)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Please explain and write the mathematical statement
There is a new fertilizer that is supposed to increase plant growth. To test this, 16 soy bean plants were treated with the fertilizer and grown for 3 weeks in a controlled environment. The mean height was determine to be 24 in. with a standard deviation of 8 in. When grown under the same cond ns, typical soy bean plants are expected to grow an average height of 20 inches after 3 weeks. Was there an effect of the fertilizer on plant height? (3 points) A) Which test would you choose to answer this question? Be specific. (0.5) B) State null and alternative hypotheses as both verbal and mathematical statements. (1) C) For a Type I error rate = 0.05, what is the critical value for this test? (0.5) D) In order to reject the null hypothesis, should your computed test statistic be greater than or less than the critical value? (0.5) E) What if the computed test statistic was 2.0, what conclusion would you make? (0.5) Ff BIU X2 x2 OiLearn Video A) Use the t-test, because the sample size is more limited, or smaller and the variance is unknown. B) H0: The fertilizer has no effect on plant height. II !!!
Transcribed Image Text:There is a new fertilizer that is supposed to increase plant growth. To test this, 16 soy bean plants were treated with the fertilizer and grown for 3 weeks in a controlled environment. The mean height was determine to be 24 in. with a standard deviation of 8 in. When grown under the same cond ns, typical soy bean plants are expected to grow an average height of 20 inches after 3 weeks. Was there an effect of the fertilizer on plant height? (3 points) A) Which test would you choose to answer this question? Be specific. (0.5) B) State null and alternative hypotheses as both verbal and mathematical statements. (1) C) For a Type I error rate = 0.05, what is the critical value for this test? (0.5) D) In order to reject the null hypothesis, should your computed test statistic be greater than or less than the critical value? (0.5) E) What if the computed test statistic was 2.0, what conclusion would you make? (0.5) Ff BIU X2 x2 OiLearn Video A) Use the t-test, because the sample size is more limited, or smaller and the variance is unknown. B) H0: The fertilizer has no effect on plant height. II !!!
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