Find the critical value for n1 = 20, n2 = 25, α = 0.2% and HA: µ ≠
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Find the critical value for n1 = 20, n2 = 25, α = 0.2% and HA: µ ≠
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- Persons having Raynaud's syndrome are apt to suffer a sudden impairment of blood circulation in fingers and toes. In an experiment to study the extent of this impairment, each subject immersed a forefinger in water and the resulting heat output (cal/cm²/min) was measured. For m = 8 subjects with the syndrome, the average heat output was x = 0.63, and for n = 8 nonsufferers, the average output was 2.08. Let μ₁ and μ₂ denote the true average heat outputs for the sufferers and nonsufferers, respectively. Assume that the two distributions of heat output are normal with = 0.1 and ⁰1 = 0.5. %2 - (a) Consider testing Ho: M₁ M₂ = -1.0 versus Ha: M₁ M₂ < -1.0 at level 0.01. Describe in words what H₂ says, and then carry out the test. OH₂ says that the average heat output for sufferers is less than 1 cal/cm2/min below that of non-sufferers. Ha says that the average heat output for sufferers is the same as that of non-sufferers. OH says that the average heat output for sufferers is more than 1…Sal knows that parties of people on average spend 75 minutes at their restaurant. They wonder if this average is significantly different on the weekends. They found the average time spent by the 30 parties which dined there this weekend was 82 minutes with a SD of 17 minutes. Assume an alpha of .05. What is the critical value?Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 135 to190 cm and weights of 39to150kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x̄ =167.89 cm, ȳ = 81.55kg, r=0.414, P- value=0.000, and ŷ =−103+1.04x. Find the best predicted value of ŷ (weight) given an adult male who is184 cm tall. Use a 0.05 significance level. The best predicted value of ŷ for an adult male who is 184 cm tall is ___kg.
- A product is synthesized in a chemical plant that is subsequently used as a preservative for canned products. The yield of the process is temperature dependent. The following data are available. Consider an optimum yield of 38.5 to 45, whereby the plant operates at 175°C. If the working temperature drops to 162°C due to a breakdown, what will be the best yield until it is repaired?Consider the following simple relationship between aggregate savings St and aggregate income Yt: St= a + BYt + εt, t = 1, ..., T. For some country this relationship is estimated by OLS over the years 1956-2005 (T = 50). The results are given below: = Variable Coefficients Constant 38.90 Y 0.098 22.57, R² = 0.93, DW = 0.70 Standard error 4.57 0.009 where ô is the standard error of regression, R² is the multiple correla- tion coefficient, and DW is the Durbin-Watson statistic. (a) Explain why the result indicate that there may be a problem of positive autocorrelation. Can you give arguments why in eco- nomic models positive autocorrelation is more likely than nega- tive one?Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 138 to 187 cm and weights of 40 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x=167.94 cm, y=81.54 kg, r=0.261, P value=0.009, and y=−102+1.03x. Find the best predicted value of y (weight) given an adult male who is 181 cm tall. Use a 0.10 significance level.
- Persons having Raynaud's syndrome are apt to suffer a sudden impairment of blood circulation in fingers and toes. In an experiment to study the extent of this impairment, each subject immersed a forefinger in water and the resulting heat output (cal/cm2/min) was measured. For m = 9 subjects with the syndrome, the average heat output was x = 0.65, and for n = 9 nonsufferers, the average output was 2.03. Let μ1 and μ2 denote the true average heat outputs for the sufferers and nonsufferers, respectively. Assume that the two distributions of heat output are normal witA random sample of 160 car purchases are selected and categorized by age. The results are listed below. The age distribution of drivers for the given categories is 18% for the under 26 group, 39% for the 26-45 group, 31% for the 45-65 group, and 12% for the group over 65. Find the critical value xa to test the claim that all ages have purchase rates proportional to their driving rates. Use α = 0.05. Round to three decimal places. Age Under 26 26-45 46-65 Over 65 66 39 30 Purchases O A. 11.143 OB. 7.815 O C. 6.251 OD. 9.348 25You run a regression analysis on a bivariate set of data (n=82n=82). You obtain the regression equationy=4.373x+9.596y=4.373x+9.596with a correlation coefficient of r=0.987r=0.987 (which is significant at α=0.01α=0.01). You want to predict what value (on average) for the explanatory variable will give you a value of 60 on the response variable.What is the predicted explanatory value?x = (Report answer accurate to one decimal place.)
- Using the chart below, Given 6 degrees of freedom and an ?=0.05, what is the critical value of X2 for 1-(?/2)?Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 135 to 188 cm and weights of 39 to 150 kg. Let the variable x be the height. The 100 paired measurements yield x=167.08 cm, y=81.32 kg, r=0.254, and y=−109+1.07x. Find the best predicted value of y (weight) given an adult male who is 163 cm tall. Use a 0.05 significance level. The best predicted value of y for an adult male who is 163 cm tall is kg. (Round to two decimal places as needed.)Do one of the following, as appropriate: (a) Find the critical value zα/2, (b) find the critical value tα/2, (c) state that neither the normal nor the t distribution applies.96%; n = 18; σ is known; population appears to be normally distributed.
