A random sample of size 40 is to be selected from a population that has a mean ? = 45 and a standard deviation ? of 8. (a) This sample of 40 has a mean value of x, which belongs to a sampling distribution. Find the shape of this sampling distribution. skewed rightapproximately normal    skewed leftchi-square (b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.) (c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.)

Q: For a frequency distribution of marks in History of 200 candidates (grouped in intervals of…

A: Given information, There are 200 candidates. Given mean is 40. Mean=Sum of valuesNumber of…

Q: When we sample from an infinite population, what happens to the standard error of the mean if the…

A: Standard Error: Standard Error increases if sample size decreases. Standard Error decreases if…

Q: Suppose a variable x has population mean µ = 38.23 and standard deviation o = 2.78. Determine the…

A: The formula of the standard error is,

Q: he lengths of pregnancies in a small rural village are normally distributed with a mean of 270 days…

A:

Q: Withdrawal symptoms may occur when a person using a painkiller suddenly stops using it. For a…

A: Given n=1100 P=0.01

Q: #Use the runif function to generate two samples of 9 observations. #One sample should be labeled…

A: We need to do:-Sets the seed to ensure reproducibility.Generate two samples, sample1 and sample2,…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 266 days…

A:

Q: A distribution of values is normal with a mean of 130 and a standard deviation of 16. From this…

A: Solution-: Given: μ=130,σ=16,n=30 Let, X= be the random variable ∴X→ N(μ=130,σ2=162)

Q: A distribution of values is normal with a mean of 50 and a standard deviation of 25. From this…

A: GivenMean(μ)=50standard deviation(σ)=25sample size(n)=31

Q: Q3.  Researchers developed a "cat IQ test" and find that the population of cats in the United…

A: We have given that  mean score of µ = 25 standard deviation of σ = 3 sample of n = 45

Q: A z-score of z = −2.00 indicates a position in a distribution __________. above the mean by a…

A: A z-score essentially defines the standardized distribution of the variable that is considered to be…

Q: Suppos ✓ are interested in studying a population to estimate its mean. The population is normal and…

A: The objective is to infer, if each defined confidence intervals include the population mean value.…

Q: The annual salary for one particular occupation is normally​ distributed, with a mean of about…

A: Given information- Population mean, µ = 120,000 Population standard deviation, σ = 20,000 Sample…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 264 days…

A: Let X denote the length of pregnancies in a small rural village. According to the given information.…

Q: The distribution of average speeds of the top 53 drivers in NASCAR is roughly symmetric, unimodal,…

A: (a) Draw the normal curve with the values from Z=–3 to Z=3 The below graph represents the normal…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days…

A: Given : Mean , μ = 267 days population standard deviation , σ = 17 days   a) We need to calculate x1…

Q: Find the variance from the following sample.  (Please round your answers to two decimal places, ex:…

A: How?? Do I have to subtract the mean from every number? Yes, you need to subtract mean from each…

Q: The annual salary for one particular occupation is normally distributed, with a mean of about…

A: Given: The sampling distribution of mean is =$126,000 Standard deviation = $18000 sample = 30

Q: During rush hour, the traffic speed on a busy highway is found to have mean 42 mph and standard…

A:

Q: A camp director is interested in the mean number of letters each child sends during his or her camp…

A: Confidence interval for mean is given by, (X bar + - z* s/√n) Here x bar = 7.7, s= 2.7 and n= 20  Z…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days…

A:

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 266 days…

A: The mean is 266 and the standard deviation is 17.

Q: Physics students at a local university have designed a "hot dog gun" designed to shoot hot dogs into…

A: Let X: the distance it will shoot hot dogs. X is normally distributed.i.e. X~N(μ,σ2)where,…

Q: The graph of the waiting time (in seconds) at a red light is shown below on the left with its mean…

A: The graph on the left indicates the waiting time at a red light with its mean  seconds and standard…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 264 days…

A: The complete solution is given below

Q: The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally…

A: Answer: Given that:   ‘x’ is Normally distributed with                 Mean  µ = 17      standard…

Q: The patient recovery time from a particular surgical procedure is normally distributed with a mean…

A:

Q: те рreva ng ans 15 years Of age and OIuer was 9.1%6 2011(according to Statistics Canada). 125…

A: The sampling distribution of the sample proportion is approximately normal with at least 5 expected…

Q: Tim is a researcher who is dealing with a SAMPLE of scores.  The SAMPLE of scores is: 15, 17, 19,…

A: Given data is 15, 17, 19, 22, 10, 23, 16, 15S.S=122.88

Q: Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling…

A: The mean is 242, the standard deviation is 69 and the sample size is 32.

Q: Use the formula to find the standard error of the distribution of differences in sample means x̅…

A:

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 269 days…

A: We have given that Mean(µ) = 269Standard deviations (σ) = 12X ~ N (µ, σ )= N(269,12)

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days…

A: Given Information Mean µ = 260 Standard deviation(σ) = 14

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 264 days…

A: 95% Area = (μ-Zα/2σ , μ+Zα/2σ)

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 268 days…

A: Solution-: Given: μ=268,σ=13 Let, X= The length of pregnancies in a small rural village ∴X→…

Q: The distribution of IQ scores of the population is normally distributed with a mean of 100 and a…

A: Given that  The data is normally distributed with  Mean (μ) = 100 Standard deviation (σ) = 15   We…

Q: Assume a normally distributed population with a mean = 90 and standard deviation = 12. Be sure to…

A: Given Mean=90 Standard deviations=12

Q: Withdrawal symptoms may occur when a person using a painkiller suddenly stops using it. For a…

A: Givenpopulation proportion(p)=2%=0.02sample size(n)=1600

Q: (a) Now the factory wants to test the hypothesis that for each n = 45 product, the mean number of…

A: LCD (Liquid Crystal Display) is difficult to produce. Some defects are minor and can be removed,…

Q: For the following sample of n = 6 scores: 0, 11, 5, 10, 5, 5

A: The sample and population variation is given as s2=∑i(xi-x)2n-1σ2=∑i(xi-μ)2N Population mean is…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days…

A: Given that the random variable X of the lengths of pregnancies in a small rural village are normally…

Q: Q4 The time required for all cross-country skiers to complete a race has a normal  distribution…

A:

Q: ill in blanks. When we are comparing our sample data to population data we…

A:

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 270 days…

A:

Q: An SRS of 25 recent birth records at the local hospital was selected. In the sample, the average…

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…

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.