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Computing the probability values using normal distribution.
Laboratory rats commit an average of µ = 40 errors before they solve a standardized maze problem. The distribution of error scores is approximately normal with a standard deviation of σ = 8. A research is testing the effect of a new dietary supplement on intelligence. A newborn rat is selected and is given the supplement daily until it reaches maturity. The rat is then tested on the maze and finishes with a total of X = 24 errors.
1. What is the probability that a regular rat (without the supplement) would solve the maze with a score less than or equal to X = 24 errors? 2. Is it reasonable to conclude that the rat with the supplement is smarter than the vast majority of regular rats? 3. Does it appear that the supplement has an effect on intelligence? Explain your answer.
During the period of time phone-in reservations are being taken at a local university, calls come in at a rate of one every ten minutes.
The moment generating function of normal distributed random variable ,Y, with mean and variance .derive the moment generating function of X=-3Y+4.what is the distribution of X? why?
Draw a scatter diagram of the following bivariate data.
Unacceptable bacterial contamination on 20 flights. (a) At α = .05, does this sample show that more than 10 percent of all flights have contaminated water? (b) Find the p-value.
The newspaper has charged that your police department responds more slowly to 911 calls in poor neighborhoods than in more wealthy ones.
People were polled on how many books they read the previous year. How many subject are needed to estimate the number of books read the previous year within one book with 99% confidence?
Pierre has a utility function for total asset position of u(x)=ln(x), His assets currently consist of $50,000 in cash and a rare violin he inherited from a rich uncle which is valued at $100,000.
The mean of the sampling distribution is 6 ounces. b) The standard deviation of the sampling distribution is 2.5 ounces. c) The shape of the sample distribution is approximately normal. d) All of the above are correct.
A food snack manufacturer samples 13 bags of pretzels off the assembly line and weighs their contents. If the sample mean is 14.7 oz. and the sample standard deviation is 0.50 oz., find the 95% confidence interval of the true mean.
If probability of drawing a face card is 0.625. Determine the probability of not drawing a face card.
A random sample of 10 shafts has an average diameter of 0.2545 inches. a) Construct a 99% confidence interval of the true mean
What is wrong with this design? What confounds could be leading to the results of improved memory and problem-solving skills?
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