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The U.S. Energy Information Agency reported that the mean monthly household electric bill in the United States in 2007 was $99.70. Assume the amounts are normally distributed with standard deviation
In a recent study, researchers followed 104,000 U.S. veterans who had served in the armed forces and a comparison group of 216,000 nonveterans. Over a period of 12 years, they found that 197 veteran
(a) The duration of phone calls to a Calling Centre is normally distributed with a mean of seven minutes and a standard deviation of two minutes. Calculate the probability that a phone call to the C
A teenager receives an average of 5 calls each day on their mobile phone. What is the probability that a teenager will receive exactly 8 calls on his/her mobile phone over a 2- day period?
Assume that 85% of the time the port can handle the weekly cargo volume without extending operating hours. What is the number of tons of cargo per week that will require the port to extend its opera
A recent survey found that 56% of mobile phone users, between the ages of 18 to 34, had a smartphone. Suppose a random sample of 20 mobile phone users were selected. What is the probability that les
It has been found that the mean time required to answer an academic test is 75 minutes with a standard deviation of 14 minutes. Suppose that the time it takes for those who take the test follows a n
A manufacturing process makes AA batteries. The voltage of these batteries is a random variable and the specification limit for an acceptable battery are:
Suppose a lot is received and it has a 3% defective, i.e. there are only 3 defectives in the lot of 100 units. What is the probability that it will be accepted? Please write the mathematical equatio
In a private company, employees tend to take sick days when they are not. If 40% of the employees that took a sick day say that they took the day because they were to lose those days. If we take a r
Acceptance sampling is an important quality control technique, where a batch of data is tested to determine if the proportion of units having a particular attribute exceeds a given percentage.
A small business ships specialty homemade candies to anywhere in the world. Past records indicate that orders weigh an average of 118 grams with a standard deviation of 14 grams.
Describe the shape of the sampling distribution of the sample proportion. Show that the sample size assumption is satisfied for assuming this model.
A politician claims that she will receive 59% of the vote in an upcoming election. The results of a properly designed random sample of 100 voters showed that 53 of those sampled will vote for her.
The recommended number of hours of sleep per night is 8 hours, but everybody "knows" that the average college student sleeps less than 7 hours. The number of hours slept last night by 10 randomly se
The pulse rates for 13 adult women were as follows. Construct a 0.99 confidence interval for the mean pulse rate. (Give your answers correct to one decimal place.) 71 70 62 65 107 95 61 81 98 67 57
Construct a 95% confidence interval estimate for the mean μ using the given sample information. (Give your answers correct to two decimal places.) n = 29, x = 16.5, and s = 2.3 to
The value of the test statistic for testing if one population mean is larger than the other, based on samples of size 24 and 19, is 2.45. What is the p-value for the test? Give your answer to 4 dec
Two independent samples of size 20 each are taken to test for a difference in the corresponding population means. The sample means differ by 5, and the pooled variance is 15. What is the value of th
A two independent sample test for difference of population means is based on samples of size 25 and 28. What is the degrees of freedom for the corresponding t-distribution?
Sports fans tune to a local sports talk radio station according to a Poisson process with the rate of three fans every two minutes and listen it for an Exponential amount of time with the average of
Plot the proportion of female candidates against the Party, and comment. Plot the proportion of female candidates against the Region, and comment.
The cakes baked at the higher temperature were lighter by 20 on average, and the standard deviation of the differences in the density was 18. What is the p-value for a test of the appropriate hypoth