To estimate the mean height μ of male students on your campus, you will measure an SRS of students. You know from government data that the standard deviation of the heights of young men is about σ = 2.7 inches. You want your sample mean x to estimate μ with an error of no more than one-half inch in either direction. What standard deviation must x have so that 99.7% of all samples give an x within one-half inch of μ? (Use the 68-95-99.7 rule. Round your answer to four decimal places.)

Q: The average thickness of books on a library shelf is 8.3 centimeters. The standered deviation is .6…

A: The mean is 8.3 centimeters and standard deviation is 0.6 centimeters. The books are undersized…

Q: To estimate the mean height μμ of male students on your campus, you will measure an SRS of students.…

A: The formula of to compute z score is,. The empirical rule 68-95-99.7 states that 68% of the data…

Q: The population mean is $ 1.587. (Round to three decimal places as needed.) Tax Rate Frequency…

A: We have given that the table Class Frequency 0.00 - 0.49 5 0.50 - 0.99 12 1.00 - 1.49 7…

Q: if we take someone’s temperature through the ear, it will be usually a bit higher than his or her…

A: From the provided information, Mean (µ) = 98.7oF Standard deviation (σ) = 0.7oF Let X be a random…

Q: The correlation between the depth (in feet) and length (in feet) for a sample of caves is found to…

A:

Q: The scores on the Accuplacer test and High School GPAs are normally distributed. The Accuplacer test…

A: It is given that: For the Accuplacer test, Meanμ1=40 Standard deviationσ1=9 For the GPAs,…

Q: The scores on the Accuplacer test and High School GPAs are normally distributed. The Accuplacer test…

A: The mean of the Accuplacer test,  The standard deviation of the Accuplacer test, The mean of High…

Q: , In a survey, the mean weight of 1000+HI rats was calculated to be 132 gr. The standard deviation…

A:

Q: Scores on a test have a mean of 86 and a standard deviation of 13. Jerrica has a score of 94.…

A:

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: The frequency distribution was obtained using a class width of 0.5 for data on cigarette tax rates.…

A: Frequency distribution of cigarettes tax rate. We have to find out population mean and population…

Q: A company that manufactures and bottles apple juice uses a machine that automatically fills 32-ounce…

A:

Q: The scores on a mathematics exam have a mean of 71and a standard deviation of 8. Find the x-value…

A: Let X denote the scores on a mathematics exam and it follows normal distribution with mean of…

Q: Dr. Hill, a physical therapist, compared the average length of office visits for his male and female…

A: Here, mean1 is 5.9 and mean2 is 6.3. Standard deviations are 2.2 and 1.7. Sample numbers are 7 for…

Q: When we compute a standard deviation, we are trying to get a measure of the average distance of…

A: Let us understand better by assuming X1, X2, ...., Xn be n data points. Then,…

Q: researcher in a large university claimed that the mean health care expenses differ from the national…

A: From the given information, Consider,  μ=$1570n=50x=$1680s=$180α=0.05

Q: In a population with mean 50 what standard deviation score would have a score of X=45

A:

Q: Check our blood pressure: In a recent study, the Centers for Disease Control and prevention reported…

A: Given: The mean diastolic blood pressure of adult women in the United states is μ=80.4. The standard…

Q: The weight of newborn babies is normally distributed, with a mean of 3.3 kilograms and a standard…

A:

Q: The scores on the Accuplacer test and High School GPAs are normally distributed. The Accuplacer test…

A: The distirbutions of the Accuplacer test and High School GPAs are given.

Q: an =125 and standard deviation a= 14. d the 80th percentile of the distribution of systolic blood…

A: Let x denote the systolic blood pressure of males . Here x is approximately normally distributed…

Q: he scores on a psychology examination are normally distributed with a mean of 70 and a standard…

A: Solution:  Let X be the scores on psychology examination are normally distributed with mean of μ= 70…

Q: The weight of newborn babies is normally distributed, with a mean of 3.7 kilograms and a standard…

A: GivenThe weight of new born babies are normally distributed.The mean =3.7 KgThe standard deviation…

Q: 2. The ages of the 189 people were recorded in a clinical study. The data have been partially…

A: The given data is as follows,…

Q: In a population of exam scores, a score of X = 88 corresponds to z = 2 and a score of X = 79…

A: From the provided information, A score of X = 88 corresponds to z = 2 A score of X = 79 corresponds…

Q: When tossing two dice and finding the mean, X we find that has a mean or expected value, and a…

A: Here, it is known that the mean is 3.5 and a population standard deviation of 1.7078. The sample…

Q: The middle 75% of the data was highly competitive house prices in the 70s. Find those house prices.

A: It is given that  Mean = 150000 Standard deviation = 25000

Q: Using the information below, calculate the confidence interval, rounding your limits to 3 decimal…

A: In this scenario the mean difference in monthly mortgage payments to be estimated. The appropriate…

Q: A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be x…

A:

Q: The scores on the Accuplacer test and High School GPAs are normally distributed. The Accuplacer test…

A:

Q: Assume that the readings on the themometers are normally distributed with a mean of 0° and standard…

A: Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and…

Q: The following readings were recorded for voltage measurement : 8.3, 7.8, 8.6, 7.2, 8.3, 7.9,…

A: As per our guidelines we are supposed to answer only 3 subparts of any questions so i am solving…

Q: The Z-score tells you the number of standard deviations away from the mean (and in what direction) a…

A: Given, mean (μ) = 173 standard deviation (σ) = 19 Z score = 0.56

Q: The variable x is normally distributed with a mean of 500 and a standard deviation of 43. Find the…

A:

Q: The scores on the Accuplacer test and High School GPAs are normally distributed. The Accuplacer test…

A: The mean of the Accuplacer test, The standard deviation of the Accuplacer test, The mean of the High…

Q: The scores on the Accuplacer test and High School GPAs are normally distributed. The Accuplacer test…

A: Given information: Accuplacer μ=40, σ=8 High school μ=2.6, σ=0.20

Q: What's the probability that one randomly selected whale has a weight of equal or greater than 2OMT?…

A:

Q: You just administered an opportunity for your students to demonstrate their understanding of…

A: The mean measures the central tendency of the data and the standard deviation shows us how much…

Q: A researcher named liza wants to estimate the mean age of pilots in an airline company. The…

A: Given: σ=6.30Length of the interval=3.2

Q: Please circle your answers. Thank you in advanced!

A: Part a: The variable under study is the increment in weight (pounds), so the level of measurement…

Q: The frequency distribution was obtained using a class width of 0.5 for data on cigarette tax rates.…

A: Tax rate Freq(f) x xf x^2 x^2*f 0.00 - 0.49 7 0.245 1.715 0.060025 0.420175 0.5 - 0.99 12 0.745…

Q: The human population has a mean IQ score of µ = 100 and a standard deviation of σ = 15. Find the…

A: The normal distribution is the most useful theoretical distribution for continuous variables.…

Q: The United Nations stores statistics about all the live births in the United States. The latest data…

A:

Q: Based on daily measurements, Brenda's weight has a mean of 200 pounds with a standard deviation of…

A: We know that, Coefficient of variation = (SD/mean)*100 For Brenda Coefficient of variation =…

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.