A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a new prescription painkiller. She plans to use statistical methods to estimate the mean of the population of relief times. She believes that the population is normally distributed with a standard deviation of 17 minutes. How large a sample should she take to estimate the mean time to within 3 minutes with 98% confidence? Sample Size =

Q: What meadure of variability would you use for a data set with a normal distribution?

A: 1. Basic Arithmetic:You should be comfortable with basic arithmetic operations such as addition,…

Q: support the scientist’s estimate

A: A scientist estimates that the mean nitrogen dioxide level in Westman is greater than 28 parts per…

Q: The scores on a standardized test are normally distributed with a mean of 105 and standard deviation…

A: Here, mean is 105 and standard deviation is 10.

Q: For normally distributed variables, approximately what percentage of values fall within two standard…

A: Given a normally distributed variable X. Let us assume its mean is µ and standard deviation…

Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…

A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 99.2 and a standard…

A: Given info: IQ scores are normally distributed with a mean of μ=99.2 and a standard deviation…

Q: The average score for Indiana public school 6th graders on a standardized reading comprehension test…

A: The hypothesized mean is 75, the sample mean is 75.9 and the standard deviation is 5.

Q: CetaceaNow is a conservationist organization that monitors the health of whale and dolphin…

A:

Q: The revenue of a new product is $56 per unit. The production cost is given by a discrete…

A:

Q: A medical researcher wants to investigate the amount of time it takes for patients' headache pain to…

A:

Q: What is an example of when you might want a large standard deviation? That is, data that is more…

A: Example -1 See in a factory, we require all types of people from labor to top officials of…

Q: Approximately what percentage of normally distributed data values will fall within 2 standard…

A: It is known that, normal curve is a symmetric and bell shaped distribution.

Q: Amy is studying the amount of sleep that college students get on class-nights. Earlier sleep…

A: Formula for the sample size needed to estimate a population mean is

Q: Students receive an A+ on a 60 point test if they score 55 points or more.  The marks of a large…

A: Given: X~N(μ,σ)μ=50σ=5

Q: Please help him by finding the standard error of the mean for these data.

A: To find the standard error of the mean.Given that,

Q: The mean of a distribution is 14 and the standard deviation is 5.

A: Given information: The mean of the distribution is 14 and the standard deviation is 5. Formula for…

Q: unit. The production cost is given by a discrete distribution that 60% the cost is about $20 per…

A:

Q: Approximately what percentage of normally distributed data will fall within 2 standard deviations…

A: Based on the Concept of Empirical Rule: About 68% of the area under the curve falls within 1…

Q: A normal distribution has a mean of 80 with a standard deviation of 20 what score separates the…

A: Let x be the score which follows normal distribution with mean 80 and standard deviation 20. The…

Q: The amount of radiation that a person can absorb and survive varies from person to person. It is…

A: Given that.   X~N( μ , ?^2 )   μ=500     , ?=150   Z-score =( x - μ )/?

Q: the number of eggs female house flies lay during a lifetime is normally distributed what a mean of…

A: Given: Mean=800 Standard deviation, σ=100 Sample Size, n=15

Q: Alan, a highway safety inspector, is concerned about the potential for accidents caused by boulders…

A: Given data μ = 565σ = 100normal distribution P(493<x<681) = ?

Q: For a random sample of 90 overweight men, the mean number of pounds that they were overweight was…

A:

Q: ly normal and has a standard deviation of 88% of students scored above a 800. What is the mean of

A: The mean of the binomial random variable obtained by the formula μ=np, where (n) is the number of…

Q: Differentiate between qualitative and quantitative data with examples. What are the limitations of…

A: Qualitative research is aimed at gaining a deep understanding of a specific organization or event,…

Q: The scores on a standardized test are normally distributed with a mean of 90 and standard deviation…

A: The test score is 0.6 standard deviations above the mean is obtained below: From the given…

Q: A medical statistician wants to estimate the average weight loss of people who are on a new diet…

A: Given,standard deviation(σ)=8margin of error(E)=2α=1-0.94=0.06α2=0.03Z0.03=1.8808       (from…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 100.3 and a standard…

A: Assume that adults have IQ scores that are normally distributed with a mean of 100.3 and a standard…

Q: A bank loan officer rates applicants for credit. The ratings can be described by a normal model with…

A: Given: μ = ​200 σ = 50

Q: A mandatory competency test for high school sophomores has a normal distribution with a mean of 410…

A:

Q: When a distribution is bell-shaped, approximately what percentage of data values fall within 1…

A: We know that, the empirical rule which is also known as 68-95-99.7 rule.  The Empirical Rule finds…

Q: The variance of a population is 5. The size of the sample collected from a population is 225. What…

A: Answer: From the given data, Variance (σ2) = 5 ⇒Standard deviation (σ) = Variance = 5…

Q: Is it possible for the standard deviation of a dataset to be larger than its variance? Explain…

A: The objective is to state whether it is possible for the standard deviation of a dataset to be…

Q: 9% of US employees who are late for work blame Oversleeping.  You randomly select 4 US employees who…

A: The value of mean is obtained below: From the given information, the probability of success (P) is…

Q: The population average for SAT scores is known to be 500 with a standard deviation of 100. This…

A: Null Hypothesis: A hypothesis which is tested for plausible rejection is called the Null Hypothesis…

Q: The annual per capita consumption of oranges (in pounds) in the United States  can be approximated…

A: It is given that the mean and standard deviation are 19.2 and 4, respectively.

Q: A medical statistician wants to estimate the average weight loss of people who are on a new diet…

A:

Q: A medical researcher claims that the variance of the heart rates (in beats per minute) of smokers is…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of 100.7 and a standard…

A: Given Data : Population Mean,μ = 100.7 Population Standard Deviation,σ = 18.9

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.