An experiment was conducted to compare broadleaf seedling growth by treating the seedling soil weeds with one of two fertilizers. Thirty of 75 seedlings were randomly chosen to receive Fertilizer X. The rest received Fertilizer Y. The heights were recorded for each seedling, in centimeters, at the end of the study. The results obtained are shown. Fertilizer X: X₁ = 72.4 cm, s₁ = 9 cm Fertilizer Y: X2=86.1 cm, s₂ = 8 cm We wish to determine whether there is a difference in height for the seedlings treated with the different herbicides. To answer this question, we decide to test the hypotheses Ho: H2 - H₁ = 0 and Ha: H2 - μ1 # 0. Find the 95% confidence interval for μ2 - μ₁ and make a conclusion based on that confidence interval. O The 95% confidence interval is 13.7 ± 4.065. I would not reject the null hypothesis of no difference at the 0.05 level. O The 95% confidence interval is 13.7 ± 9.63. I would not reject the null hypothesis of no difference at the 0.05 level. ○ The 95% confidence interval is 13.7 ± 4.065. I would reject the null hypothesis of no difference at the 0.05 level. O The 95% confidence interval is 13.7 ± 9.63. I would reject the null hypothesis of no difference at the 0.05 level. O The 95% confidence interval is 13.7 ± 17.75. The p-value is less than 0.05.
An experiment was conducted to compare broadleaf seedling growth by treating the seedling soil weeds with one of two fertilizers. Thirty of 75 seedlings were randomly chosen to receive Fertilizer X. The rest received Fertilizer Y. The heights were recorded for each seedling, in centimeters, at the end of the study. The results obtained are shown. Fertilizer X: X₁ = 72.4 cm, s₁ = 9 cm Fertilizer Y: X2=86.1 cm, s₂ = 8 cm We wish to determine whether there is a difference in height for the seedlings treated with the different herbicides. To answer this question, we decide to test the hypotheses Ho: H2 - H₁ = 0 and Ha: H2 - μ1 # 0. Find the 95% confidence interval for μ2 - μ₁ and make a conclusion based on that confidence interval. O The 95% confidence interval is 13.7 ± 4.065. I would not reject the null hypothesis of no difference at the 0.05 level. O The 95% confidence interval is 13.7 ± 9.63. I would not reject the null hypothesis of no difference at the 0.05 level. ○ The 95% confidence interval is 13.7 ± 4.065. I would reject the null hypothesis of no difference at the 0.05 level. O The 95% confidence interval is 13.7 ± 9.63. I would reject the null hypothesis of no difference at the 0.05 level. O The 95% confidence interval is 13.7 ± 17.75. The p-value is less than 0.05.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 32PPS
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Transcribed Image Text:An experiment was conducted to compare broadleaf seedling growth by treating the seedling soil weeds with one of two fertilizers. Thirty of 75 seedlings were randomly chosen to receive Fertilizer X. The rest received
Fertilizer Y. The heights were recorded for each seedling, in centimeters, at the end of the study. The results obtained are shown.
Fertilizer X: X₁ = 72.4 cm, s₁ = 9 cm
Fertilizer Y: X2=86.1 cm, s₂ = 8 cm
We wish to determine whether there is a difference in height for the seedlings treated with the different herbicides. To answer this question, we decide to test the hypotheses Ho: H2 - H₁ = 0 and Ha: H2 - μ1 # 0. Find
the 95% confidence interval for μ2 - μ₁ and make a conclusion based on that confidence interval.
O The 95% confidence interval is 13.7 ± 4.065. I would not reject the null hypothesis of no difference at the 0.05 level.
O The 95% confidence interval is 13.7 ± 9.63. I would not reject the null hypothesis of no difference at the 0.05 level.
○ The 95% confidence interval is 13.7 ± 4.065. I would reject the null hypothesis of no difference at the 0.05 level.
O The 95% confidence interval is 13.7 ± 9.63. I would reject the null hypothesis of no difference at the 0.05 level.
O The 95% confidence interval is 13.7 ± 17.75. The p-value is less than 0.05.
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