perform this exercise in minitab a) 99% two sided CI on the mean temperatureZ.2 = Z0.00s = 2.57, and = 13.77, o = 0.5, n=11|susi+Z0,009Vnvn0.513.77 - 2.57<μ= 13.77+ 2.57 |0.5J1113.383μ< 14.157b) 95% lower-confidence bound on the mean temperatureFor a = 0.05, z. = zaos =1.65 and I= 13.77, o = 0.5, n =110.513.77-1.6513.521 s uc) 95% confidence that the error of estimating the mean temperature for wheat grown isless than 2 degrees Celsius.For a = 0.05, z2 = z0.02s = 1.96, and o = 0.5, E = 22(1.96(0.5))n =E= 0.2401Always round up to the next number, therefore n = 1.d) Set the width to 1.5 degrees Celsius with o = 0.5, za.025 = 1.96 solve for n.1/2 width = (1.96)(0.5)/n = 0.750.98 = 0.75 n0.98=1.7070.75Therefore, n = 2. 8-21. O Go Tutorial An article in the Journal of Agricul-tural Science ["The Use of Residual Maximum Likelihood toModel Grain Quality Characteristics of Wheat with Variety,Climatic and Nitrogen Fertilizer Effects" (1997, Vol. 128, pp.135–142)] investigated means of wheat grain crude proteincontent (CP) and Hagberg falling number (HFN) surveyed inthe United Kingdom. The analysis used a variety of nitrogenfertilizer applications (kg N/ha), temperature (°C), and totalmonthly rainfall (mm). The following data below describetemperatures for wheat grown at Harper Adams AgriculturalCollege between 1982 and 1993. The temperatures measuredin June were obtained as follows:15.214.214.012.214.412.514.314.213.511.815.2Assume that the standard deviation is known to be o = 0.5.(a) Construct a 99% two-sided confidence interval on the meantemperature.(b) Construct a 95% lower-confidence bound on the meantemperature.(c) Suppose that you wanted to be 95% confident that the errorin estimating the mean temperature is less than 2 degreesCelsius. What sample size should be used?(d) Suppose that you wanted the total width of the two-sidedconfidence interval on mean temperature to be 1.5 degreesCelsius at 95% confidence. What sample size should be used?

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A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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