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- 34 X shows a normal distribution with mean µ=50 and variance σ^2=100. What standard z value does the value x=55 convert to? a) one B) 0.05 NS) 2,5 D) 0.5 TO) 2nd21 - The average weekly income of 50 students randomly selected from a class is 250 TL with a variance of 16, a weekly average working time of 15 hours and a variance of 16. The average weight of the students was 60 kg and the variance was 9, and the average of their height was 160 cm and the variance was 25. Based on this information, which of the following is true of the variable with the greatest variation between observations? a) Income variable B) Income and working time variable NS) Height variable D) Working time variable TO) Weight variableThe standard error of the estimate in regression is: a) similar to the standard deviation, but that it takes deviations from the regression line instead of the horizontal one b) the sum of squared deviations from the mean of the data c) the sum of absolute deviations from predicted values d) none of the above
- Previous studies have suggested that human body temperature is normally distributed with a mean of 98.6∘ F and a standard deviation of 0.7∘ F. You sample 35 random humans and find ¯x=99∘ F. To estimate the typical human's body temperature,we should use: TInterval 2-PropZInt 2-SampTInt 2-SampZInt ZInterval 1-PropZIntplease state the approximate distribution of the sample mean5 c.)
- Derive the PDF MGF mean and variance of Non Central Chi SquareThe built-in data set, rock, is a data frame recording the measurements of rock sample from a petroleum reservoir. We are interested in the area column of rock. Using R we can convert this column into the vector x by the assignment x30 we can create a confidence interval for μ using a normal critical value. If we want the confidence interval to be at the 94% level and we use a normal critical value, then what critical value should we use? i) Calculate a 94% confidence interval(using a normal critical value) for μ.Q\ For the next data: Class limit 13-19 20-26 27-33 34-40 41-47 48-54 55-61 62-68 Frequency 8 13 23 35 42 36 20 7 Calculate: 1- Arithmetic mean (X), Mode (X). 2- Standard Deviation (S), Coefficient of Variation (C,).
- Can you help with part b without using Chebyshev's theoremThe total expenses of a hospital (dependent variable) are related to many factors. One of these factors is the number of admissions to the hospital (independent variable). Using the summary output below to answer, what is the meaning (analysis) of the coefficient of determination? SUMMARY OUTPUT Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Statistics Regression Residual Total df 0.98706 0.974288 0.972145 8.106794 Coefficients 14 1 12 13 SS 29883.07 788.6412 30671.71 Standard Error Intercept 1.518053 Admissions 0.668591 OA) is the value of Expenses with one unit increase in Admissions 3.248929 0.031354 MS 29883.07 65.7201 t Stat 0.467247 21.32375 F 454.7022 P-value 0.648693 6.59E-11 Significance F 6.59E-11 Lower 95% -5.56075 0.600276 Upper 95% 8.59686 0.736907