A horticulturist is studying the relationship between tomato plant height and fertilizer amount. Thirty tomato plants grown in similarconditions were subjected to various amounts of fertilizer (in ounces) over a four-month period, and then their heights (in inches) weremeasured. (You may find it useful to reference the t table.)Click here for the Excel Data Filea. Estimate the regression model: Height = 69 + 61Fertilizer + E. (Round your answers to 2 decimal places.)Height =Fertilizerb-1. At the 1% significance level, determine if an ounce of fertilizer increases height by more than 3 inches. First, specify the competinghypotheses.Hg: 61 = 3; HẠ: 61 + 3%3DO He: 61 s 3; HA: 81 > 3Hg: 61 2 3; HA: 81 < 3b-2. Calculate the value of the test statistic. (Do not round intermediate calculations. Round final answer to 3 decimal places.)Test statisticb-3. Find the p-value.0.025 s p-value < 0.05O 0.01 s p-value < 0.025O pvalue < 0.01p-value 2 0.10O 0.05 s p-value < 0.10b-4. At the 1% level of significance, what is the conclusion to the test?|Но, weconclude an ounce of fertilizer increases height by more than three inches. FertilizerHeight1.920.24.049.14.156.81.224.34.929.45.260.73.324.80.025.42.6262.625.60.826.11.028.44.362.83.330.45.3432.333.54.035.41.622.53.440.33.044.83.929.40.721.31.825.62.429.64.327.83.532.14.033.60.022.22.427.63.346.4

Solution: The output from excel data analysis tab is a) The estimated regression equation is Height^= 18.89+5.15 Fertilizer b-1) To test the hypothesis Ho:β1≤3 VS Ha:β1>3 Option B is Correct b-2) Test statistic t= β1^-β1S.E(β1)^t= 5.152496-31.142542t=2.1524961.142542=1.883954t= 1.884 Test statistic t = 1.884. b-3) To find p value p value = P( t > 1.884) p value = 0.0350 From excel The range of p value is 0.025≤ p value ≤0.05 Option A is Correct b-4) Decision: p value > α=0.01 Do not reject Ho Conclusion: Do not reject Ho we can not conclude that an ounce of fertilizer increases height by more than 3 inches.