A scientist investigated the effect of cross-fertilization on the heights of plants. In one study, the scientist planted 15 pairs of a species of plant. Each pair consisted of one cross-fertilized plant and one self-fertilized plant grown in the same pot. The accompanying table gives the height differences, in eighths of an inch, for the 15 pairs. Each difference is obtained by subtracting the height of the self-fertilized plant from that of the cross-fertilized plant. Complete parts (a) through (e) below. Click here to view the data. Click here to view a table of critical values of t. a. Identify the variable under consideration. What is the variable? * Height b. Identify the two populations What are the populations? VA. The self-fertilized plants and the cross-fertilized plants c. Identify the paired-difference variable. What is the paired-difference variable? *C. Height of the cross-fertilized plant - height of the self-fertilized plant d. Are the numbers in the table paired differences? Why or why not? Since one cross-fertilized plant and one self-fertilized plant are in each pot, the numbers are paired differences. e. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean heights of cross-fertilized and self-fertilized plants differ? (Note: d= 21.33 and s, = 37.14.) Preliminary data analyses indicate that use of a paired t-test is reasonable. Perform the hypothesis test by using the critical-value approach. What are the hypotheses for the t-test? O A. Hg Hi =H2 Height Differences B. Họ H =P2 OC. Hgi H: H2 16 6 49 22 54 - 63 29 23 48 78 20 20 - 46 OD. Ho: H, = 2 H, H > H2 58 Find the test statistic. Print Done t= (Round to two decimal places as needed.) Find the critical value(s). The critical valuets) is/are (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion for the hypothesis test? Họ: the dala sufficient evidence al the 1% significarice level that the
A scientist investigated the effect of cross-fertilization on the heights of plants. In one study, the scientist planted 15 pairs of a species of plant. Each pair consisted of one cross-fertilized plant and one self-fertilized plant grown in the same pot. The accompanying table gives the height differences, in eighths of an inch, for the 15 pairs. Each difference is obtained by subtracting the height of the self-fertilized plant from that of the cross-fertilized plant. Complete parts (a) through (e) below. Click here to view the data. Click here to view a table of critical values of t. a. Identify the variable under consideration. What is the variable? * Height b. Identify the two populations What are the populations? VA. The self-fertilized plants and the cross-fertilized plants c. Identify the paired-difference variable. What is the paired-difference variable? *C. Height of the cross-fertilized plant - height of the self-fertilized plant d. Are the numbers in the table paired differences? Why or why not? Since one cross-fertilized plant and one self-fertilized plant are in each pot, the numbers are paired differences. e. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean heights of cross-fertilized and self-fertilized plants differ? (Note: d= 21.33 and s, = 37.14.) Preliminary data analyses indicate that use of a paired t-test is reasonable. Perform the hypothesis test by using the critical-value approach. What are the hypotheses for the t-test? O A. Hg Hi =H2 Height Differences B. Họ H =P2 OC. Hgi H: H2 16 6 49 22 54 - 63 29 23 48 78 20 20 - 46 OD. Ho: H, = 2 H, H > H2 58 Find the test statistic. Print Done t= (Round to two decimal places as needed.) Find the critical value(s). The critical valuets) is/are (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion for the hypothesis test? Họ: the dala sufficient evidence al the 1% significarice level that the
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.1: Ratios
Problem 25WE
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