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The birthweights for babies born at 40 weeks follow a normal distribution with mean 3.46kg, and a standard deviation 0.58kg.
(a) What is the expected total weight of 100 randomly chosen babies?(b) What is the standard deviation of the total weight of 100 randomly chosen babies?(c) Repeat parts (2a) and (2b) for the average weight of 100 randomly chosen babies.(d) What is the expected total weight of 10,000 randomly chosen babies?(e) What is the standard deviation of the total weight of 10,000 randomly chosen babies?(f) Repeat parts (2d) and (2e) for the average weight of 10,000 randomly chosen babies.(g) Using your answers to the earlier parts of this question, explain how the sample size a ects the mean and SD of the sum of a collection of random variables. Limit your answer to 2-3 sentences.(h) Using your answers to the earlier parts of this question, explain how the sample size a ects the mean and SD of the average of a collection of random variables. Limit your answer to 2-3 sentences.
At the 5% significance level, if the sample proportion is .45, and the standard error of the sample proportion is .035, the appropriate conclusion would be:
The plant manager wants to evaluate the capability of a critical cutting operation that he suspects might be the source of the gap problem. The nominal specification for this cutting operation is 25.500 inches.
Calculate the sample mean, median, range, sample variance and sample standard deviation only for each of the four variables and explain what each value tells us about the motion picture industry.
A total of 61,647 people responded to an Elle/ MSNBC.com survey. It was reported that 50% of the respondents were women and 50% men.
The average number of calories in a small chocolate bar is 225. Suppose that the distribution of calories is approximately normal with 10. Find the probability that a randomly selected chocolate bar will less than 200 calories.
Let's further suppose that there was good interrater reliability on these frequency counts of behaviours and that they are interval/ratio level of measure, normally distributed, and independent observations.
Analysis of variance (ANOVA) is used to determine if there is a difference between the means of different populations. This is an example from a student in Prescott Arizona.
What are the five steps for calculating probabilities of events? Please apply these steps to an example.
where the deviations εi are assumed to be independent and Normally distributed with mean 0 and standard deviation σ. This model was fit to the data using the method of least squares. The following results were obtained from statistical software.
A random sample of 20 single men was asked if they would welcome a woman taking the initiative in asking for a date. What is the probability that:
Consumers reported on average 1.7 problems per vehicle with a popular make and model of a 2006 car. We randomly select a vehicle of the same make, model, and year.
Using the following information, find the equation of the regression line, and predict the heart rate when 0.27 milligrams of the drug is used.
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