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The mean life of a battery used in a digital clock is 305 days. The lives of the batteries follow the normal distribution. The battery was recently modified with the objective of making it last longer. A sample of 20 of the modified batteries had a mean life of 311 days with a standard deviation of 12 days. Did the modification increase the mean life of the battery?
a. State the null hypothesis and the alternate hypothesis.
b. Show the decision rule graphically. Use the .05 significance level.
c. Compute the value of t. What is your decision regarding the null hypothesis? Briefly summarize your results.
Find the probability that he will answer all 10 questions correctly.
What is the standard deviation of expected returns for Stock X? For Stock Y?
Define the Linear programming problem (LPP)
Prepare a mixed integer programming model for this problem.
Estimate with 90% confidence the difference in the level of satisfaction with service between the two branches.
Conclude whether the given conditions justify using the methods of this section when testing a claim about a population mean µ.
Consider the continuous random variable X, which has a uniform distribution over the interval from 20 to 28. The probability that X will take on a value between 21 and 25 is.
What is the population mean? What is the best estimate of that value?
If the basket ball player is a 74% free throw shooter, then, on average, how many free throws will he or she make in a game with eight free throw attempts?
For each problem, compute a Welch F-statistic and determine whether or not significant differences exist among the treatment conditions.
Findout the value of X using normal distribution which gives standard deviation also mean. A math teacher gives two different tests to measure students' aptitude for math.
If the probability distribution of X is: Determine the expected value of X? Find out the variance of X?
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