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The lifetime of a randomly chosen battery in a certain application is modeled by a normal distribution with mean µ = 16 hours and standard deviation ? = 2 hours.
(a) Give one reason why the normal distribution may not be appropriate for this problem.
(But let's assume it anyway in the calculations below.)
(b) What is the probability that a battery will last more than 18 hours?
(c) What is the probability that the lifetime of a battery is between 12 and 17 hours?
(d) Find the number t such that the probability that a battery lasts less than t hours is 0.10.
question the bank customer waiting time caserecall that a bank manager has developed a new system to reduce the time
Create risk profiles for medium and large alternatives. Given mayors concern over possibility of losing money and result of part (a), which alternative would you suggest?
To test H0: against the alternative H1: in Q 1.5 above, the degrees of freedom of a suitable t-statistic is: In a study of the effect of oral contraceptives (OCs) on blood pressure, measurements were made on 10 OC users (x) and 14 non-users (y).
Observations was x ¯ = 119.8 (actually 119.7692), and the 14th observation, somewhat of an outlier, was 158. What is the value of x ¯ for the entire sample?
Find the probability that he will answer all 10 questions correctly.
Assume that the weights of coconuts are normally distributed with a mean weight of 17.6 pounds and a standard deviation of 1.2 pounds.
thirty percent of the people called agree to participate in a brief telephone survey. in a random sample of four people
The data follow. Males Females 27 25 25 29 19 18 10 23 16 20 22 15 14 19 (a) What statistical test should be used to analyze these data?
suppose the problem statement is as follows. roll two 6 sided dice and add the numbers on the faces. what is the total
An investigator wants to estimate caffeine consumption in high school students. How many students would be required to ensure that 95% confidence interval estimate for the mean caffeine intake (measured in mg) is within 15 units of the true mean? ..
A researcher determines that 42.7% of all downtown office buildings have ventilation problems. Is this a statistic or a parameter; explain your answer.
If we fit the least-squares line to the 12 data points (one for each month) we obtain the following results from a software package. Notice that temperature is taken as the explanatory variable and crawling age as the response.
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