QUESTION 7 The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The mean is thought to be 100, and the standard deviation is 2. You wish to test Ho: μ-100 versus H₁: μ#100 with a sample of n=9 specimens. If the acceptance region is defined as 98.5 ≤x≤ 101.5, f Find ß for the case in which the true mean heat evolved is 103 a. 0.5 O b. 0.0244 Oc. 0.9878 O d. 0.0122

A thermocouple was used to measure the temperature. Over the range of temperatures expected in the experiment, a linear regression analysis was performed for the temperature as a function of voltage. The best-fit equation was T = (-0.008563 + 220*V), where V is the thermocouple voltage. The voltage was fed into a 11-bit A/D converter with a voltage range of -8 V to 8 V. Determine the measurement resolution (in °C) due to the ADC? O 0.851 None O 3.113 1.710 0.393 4.960 1.144 O 3.797

An electrical firm manufactures light bulbs that have a lifetime that is approximately normally distributed with a standard deviation of 36 hours. A lifetime test of n=36 samples resulted in the sample average of 1510 hours. Assume the significance level of 0.05. (a) Test the hypothesis HO:µ=1500 versus H1:µ#1500using ap-value. (10pts) (b) Calculate the power of the test if the true mean lifetime is 1510. (10pts)

Life tests performed on a sample of 13 batteries of a new model indicated: (1) an average life of 75 months, and (2) a standard deviation of 5 months. Other battery models, produced by similar processes, have normally distributed life spans. The 98% confidence interval for the population mean life of the new model is A. 71.28 to 78.72 B) 71.77 to 78.72 61.60 to 88.41 D. 63.37 to 86.63