Suppose you get a sample of size 31 from a normally distributed population of size 42 whose standard deviation is equal to 13.7. What is the standard error associated to using the sample mean of your sample as an approximation for the population mean? Round to 4 decimal places.

Q: how many students must be randomly selected to estimate the mean weekly earnings of students at one…

A: Here we need to find the required sample size with 95% confidence. Given SD=54, Margin of error=5.

Q: For a normally distributed population with a mean of 40 and a standard deviation of 5 find P(38 < X…

A: Given Information: Required : To find P(38 &lt; X &lt; 41) Z-score is a measure which indicates…

Q: A population has mean µ = 40 and %3D standard deviation o = 20. What should %3D the sample sizen be…

A:

Q: Suppose heights, in inches, of male orangutans have an unknown distribution with mean 56 and…

A: According to the central limit theorem,

Q: Suppose that the heights of adult women in the United States are normally distributed with a mean of…

A: GivenMean(μ)=64.5standard deviation(σ)=2.4

Q: Suppose that weights of 3200 registered female great Danes in the United States are distributed…

A: Using normalised probability and z table

Q: Imagine that scores for national aptitude exam have a normal distribution with a mean of 700 a…

A: Given: Mean = 700 Standard deviation = 30 Let X ~ N(700, 302)

Q: A population has a standard deviation ? of 18.8 units. (Give your answers correct to two decimal…

A: Given: Population standard deviationσ=18.8 Sample size(n)=105   Formula for standard error(SE) SE=σn

Q: A variable is normally distributed with a hypothesized population mean of 53 and a standard…

A:

Q: The nails produced by a machine are assumed to have a mean of 5.0 cm. A random sample of 80 nails…

A: Null hypothesis: H0: µ=5. Alternative hypothesis: H1:µ&gt;5. This is a right tailed test. Here, the…

Q: Which is true of the distribution of the sample mean?

A: Here given sample of size 20 is taken from a population with a normal distribution and unknown…

Q: A sample of n = 25 scores is determined to have a standard error of 2 points. what is the standard…

A: Given data, SE=2 n=25 s=?

Q: What is the Z score of an individual with a height of 183cm if the mean of the population is 170cm…

A: Given that mean = 170 SD = 6.1 And the height of individual X = 183

Q: A random sample of n = 4 scores is obtained from a population with a mean of µ = 80 and a standard…

A: Solution: From the given information, n=4, µ=80, σ=10 and M=90.

Q: If X is normally distributed with a mean of 50 and a standard deviation of 4. If you take a sample…

A: Provided information: Mean = 50 Standard deviation = 4 Sample size = 25

Q: If the population standard deviation is 17, at 95% CI, sample mean is within 5 of the population…

A:

Q: Suppose that the heights of adult women in the United States are normally distributed with a mean of…

A: Let X denote the height of the adult women in the United States. Therefore X~N (64.5,2.5) i.e.…

Q: Suppose that quiz scores in a beginning statistics class have a mean of 6.5 with a standard…

A: Mean(µ) = 6.5 Standard deviations (σ) = 0.5

Q: The president of a university wants to use the mean of a ma to estimate the average amount of time…

A: Given information Standard deviation σ = 1.40 Confidence interval = 0.99 Significance level(α) = 1-…

Q: Suppose you know that the distribution of sample proportions of nonresidents in samples of 200…

A: Let p^ denotes the sample proportion which follows normal distribution with mean 0.46 and standard…

Q: Suppose that the average number of hurricanes heading to RGV is 32 per year witha standard deviation…

A: It is given that the, Hurricanes heading follows the normal distribution with the average number of…

Q: If the population standard deviation is 8, at 95% CI, sample mean is within 4 of the population mean…

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Q: For a random sample of 36 data pairs, the sample mean of the differences was 0.75. The sample…

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Q: The Hilbert Drug Store owner plans to survey a random sample of his customers with the objective of…

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Q: A population has a standard deviation ? of 18.1 units. (Give your answers correct to two decimal…

A:

Q: In a population of 500 adult Swedish males,medical researchers find their brain weights to be…

A: The density function for normal distribution of a random variable X with mean μ and standard…

Q: for population with mean of 80 and standard deviation of 9, what is the z-score for X = 84

A: Here mean, mu= 80 Standard deviation, Sigma=9 Z Score= (X-mu)/sigma

Q: We have collected a sample of size 52. Assuming that we do not have the population standard…

A: Given,sample size(n)=52standard error(SE)=0.969

Q: 2) based on earlier studies it is known that the standard deviation is 12.3 days per year. How large…

A:

Q: A population is normally distributed and has a mean of 50 and a standard deviation of 5 If we…

A: As we know the empirical rule of 68 - 95 - 99.7 that is the percent value that are one, two or three…

Q: The population standard deviation for the heights of dogs, in inches, in a city is 5.7 inches. If we…

A:

Q: Suppose that the heights of adult women in the United States are normally distributed with a mean of…

A: Let X denote the heights of adult women in the United States and it follows normal distribution with…

Q: Suppose that the heights of adult women in the United States are normally distributed with a mean of…

A:

Q: the mean of a random sample of size n= 25 is used to estimate the mean of an entire population that…

A:

Q: Suppose that the heights of adult women in the United States are normally distributed with a mean of…

A:

Q: Alex wants to find out: if the standard deviation of the mean for the sampling distribution of…

A: Solution: given standard deviations of sample s1=9. fir sample size n1=256  Then what will be the…

Q: it is known that the population standard deviation of weight among females is 30. assuming that we…

A: There is a direct relationship between the margin of error of the interval and the confidence level,…

Q: Professor Brown administered an achievement test, which as he remembers from years of experience,…

A: Given: Population mean score(μ)=85 Sample mean(X¯)=89 Sample standard deviation(s)=14 n: no of…

Q: The standard deviation of a variable is 16. If a sample of 80 individuals is selected, Find the…

A: Given,sample size(n)=80standard deviation(σ)=16

Q: For a random sample of 36 data pairs, the sample mean of the differences was 0.77. The sample…

A: NOTE: Since we only answer up to 3 subparts , we will answer the first 3. Please resubmit the…

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

A: Given Data: ME=4/2=2 σ=8   z-value corresponding to 97% of CI=2.17

Q: With a mean of 10 and standard deviation of 5. Assume that the population data are normally…

A: The mean is 10 and the standard deviation is 5.

Q: Suppose that the heights of adult women in the United States are normally distributed with a mean of…

A: Let X be a continuous random variable of heights (in​ inches) of adult women in the United States…

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

A:

Q: Under which circumstance is a score that is located 5 points above the mean a central value that is…

A: Answer : If you want the point to be relatively close to the mean then the standard deviation should…

Q: "suppose that a random sample of size 20 is taken from a normal distribution with unknown variance…

A: Given: n=20 μ=Unknownx=10σ2=1Andμ(Posterior)=15σ(Posterior)=0.1

Q: Suppose you could take all samples of size 77 from a population with a mean of 12 and a standard…

A: Given data, Mean μ=12 sd      σ=3.2 n=77 standard deviation of the sample means σx=?

Q: The owner of a meat market has an assistant who has determined that the weights of roasts are…

A: we have to find z score for the sample mean ....

Q: In order to have the standard error of the mean be 6, one from a would need to take a sample of size…

A: Given ,standard error=6Standard deviation (σ)=42