Chapter 12, Problem 12.60AC

Q.1 An Electronic equipment used for the analysis and storage of the data in an industry has three identical input devices/ports. Different components of the electronic equipment are connected to each other as shown in Figure Q.1. Assume the following estimated reliability values of the components as shown in Table Q.1. Calculate the reliability of the electronic equipment operating successfully with at least one input device/port for 1000 hours? Also, estimate Mean Time to Failure (MTTF) for the electronic equipment for 1000 hrs. Table Q.1 Component Failure rate (2) x 10°, per hr Input device/Port Storage drive Central Processing Unit (CPU) Manual Key Pad Monitor/screen to display results 45 35 7 5 10 Input device 1 Monitor/ Storage device Manual Input device 2 CPU Кeурad screen Input Figure Q.1 device 3

b) A paint company has developed a new paint formula which should have a faster drying time compared to the old formula. Paint drying time is known to be normally distributed, and from previous tests it is known that the original paint formula has a mean drying time of M₁ = 45 min. The company's R&D scientists believe the new formula will have a mean drying time of μ₂ = 35 min (that is, they expect the new formula to dry an average of 10 min faster than the old formula, or that μ₁ −μ₂ = 10). They are early in the development process and are not sure what the population variances are. A scientist takes 15 samples of each paint formula and determines the mean drying time for each batch to be X₁ = 43 min and X₂ = 36 min with sample standard deviations equal to S₁ = 5.4 and s₂ = 3.7, respectively. Find a 99% confidence interval on the difference in average lifetime between the two populations (μ₁-M₂). <μ<

Four different formulations of an industrial glue are being tested. Each of the different formulations were randomly applied to joint parts of five test specimen and the tensile strength of the glue when it is applied to each test specimen is recorded. However, the tensile strength is also related to the application thickness. The data on the strength (in lbs) and thickness (in 0.01 inches) are shown in the following table. Assuming all assumptions for ANOVA/ANACOVA to be valid are satisfied, perform the NECESSARY tests of hypotheses to determine if there are differences on the different formulations of an industrial glue at 5% level of significance.

Purchases made at small "corner stores" were studied by the authors of a certain paper. Corner stores were defined as stores that are less than 200 square feet in size, have only one cash register, and primarily sell food. After observing a large number of corner store purchases in Philadelphia, the authors reported that the average number of grams of fat in a corner store purchase was 21.5. Suppose that the variable x = number of grams of fat in a corner store purchase has a distribution that is approximately normal with a mean of 21.5 grams and a standard deviation of 8 grams. (Round your answers to four decimal places.) n USE SALT (a) What is the probability that a randomly selected corner store purchase has more than 31 grams of fat? (b) What is the probability that a randomly selected corner store purchase has between 14 and 26 grams of fat? (c) If two corner store purchases are randomly selected, what it the probability that both of these purchases will have more than 26 grams of…