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 = 2.8 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.)How large an SRS do you need to reduce the standard deviation of x to the value you found in the previous part? (Enter your answer as a whole number.)

Q: 18. For a population with a standard deviation of o = 12, a score of X = 115 corresponds to z…

A:

Q: Measuring lung function: One of the measurements used to determine the health of a person's lungs is…

A: The hypothesized mean is 2.1.

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

A:

Q: You have a dataset with a mean of 50 and a standard deviation of 5. What is the coefficient of…

A: From the provided information, Mean (x̄) = 50 Standard deviation (s) = 5

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: The heights of the women in a particular town are normally 143 cm and 168 cm. Using 95.4% of the…

A:

Q: A researcher wishes to see if there is a difference in the manual dexterity of athletes and that of…

A: Sample mean for athletes x¯1=89 Sample mean for band members x¯2=95 Standard deviation σ=7.4 .…

Q: how did you find the standard deviation to be 1.2. explain clearly?

A: Here we have to explain the how we get standard deviation is 1.2

Q: The variance of a population is 6. the size of the sample collected from a population is 228 What is…

A: Variance of population=S2=6, Sample size=228

Q: A class has a average height of 68 inches and a standard deviation of 2 inches. What percent of the…

A: Let x be the height which follows normal distribution with mean 68, and standard deviation 2. The…

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

A:

Q: Find the standard deviation if the mean = 2, mode = 5, variance = 56 . Round your answer to three…

A: We have given that,  Mean (x̄) = 2 , mode (z) = 5 and variance        (s^2) = 56 Then,  We will find…

Q: Suppose that you have a X= 75 on an exam with Ú=70. Which standard deviation would give you a better…

A: Given : Suppose that you have a X= 75 on an exam with Ú=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: Use z scores to compare the given values. The tallest living man at one time had a height of 222 cm.…

A: The mean and standard deviation are 170.21 and 5.74, respectively.

Q: What is F, the daily average temperature in degrees Fahrenheit in Raleigh during this period? b)…

A:

Q: Scores on a test have a mean of 8181 and a standard deviation of 1313. Michael has a score of 9393.…

A:

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: Suppose the correlation, r, between two variables x and y is -0.44. What would you predict about a y…

A: The correlation, r between two variables x and y is provided as – 0.44. Since, the regression line…

Q: Suppose that the mean weight for men 18 to 24 years old is 170 pounds, and the standard deviation is…

A: Mean()=170standard deviation()=20

Q: Write down the formulas for the standard deviation of x.

A: The formula for the sample standard deviation can be written as: Here, n is the sample size and x̅…

Q: The birthweight of German Shepherd puppies is normally distributed with mean 509.3g and standard…

A: Here is given that mean is 509.3 and standard deviation is 96. We use z - scores for finding…

Q: We want to do a comparison of cow's milk with plant-based milk as far as nutrition is concerned.…

A: From the provided information,

Q: The weights of men are normally with a mean of 172 pounds and a standard deviation of 29 pounds.…

A: Let X be the random variable from normal distribution with mean (μ) = 172 and standard deviation (σ)…

Q: How standard deviation affects the power?

A: With increase in standard deviation, The observed point will be located far away from the mean.…

Q: A large chemistry course took their final exam. The mean was 75 with a standard deviation of 8. What…

A:

Q: Suppose that the average score for the first exam was 70 with a standard deviation of 8.  State each…

A: Given that  Mean = M = 70, Standard deviation =Sd = 8

Q: o these calculations using Excel, a graphing calculator, or an app. Type the data in different…

A: The number of observations is 6.

Q: Many students did an exam, the mean was 15 and the standard deviation was 32 The highest mark was…

A: Given Mean μ=15, standard deviation σ=32  X=103

Q: In a population, the data value 180 has a z score of -0.8. The standard deviation of this population…

A: The question is about z score.Given :Raw value ( x ) = 180z score = -0.8Standard deviation of the…

Q: The weight of newborn babies is normally distributed, with a mean of 3.5 kilograms and a standard…

A:

Q: . A biologist knows that the average length of a leaf of a certain full-grown plant is 4 inches. The…

A:

Q: Suppose that the mean weight for men 18 to 24 years old is 170 pounds, and the standard deviation is…

A: mean==170standard deviation==20

Q: doctor in the oncology department of a hospital surveyed the breathing rateof cancer patients. The…

A: The empirical rule should be used in this problem.

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.