The mean of the sampling distribution of the sample means is less than the population mean The standard error of the mean is standard deviation of the sampling distribution on the sample means The sampling variability of the sample means becomes smaller as the sample size n gets larger

Q: The percent of fat calories that a person in America consumes each day is normally distributed with…

A: a) It is given that, the percent of fat calories that a person consumed each day is normally…

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: an IQ test is designed so that the mean is 100 and the standard deviation is 16 for the population…

A: Given that, μ=100σ=16Margin of error=E=4α=0.1The critical value at α=0.1 is zα/2=1.645

Q: Because sample variances are computed by dividing SS by n – 1, the average value of the sample…

A: ANSWER:-  If a sample variance is computed by dividing SS by df=n-1, then the average value of the…

Q: The mean weight of people living in a certain residential area has been 60 Kgs in the recent years.…

A: It is given that the mean weight of people living in a certain residential area has been 60Kg. We…

Q: It is known that in the population, a variable is distributed normally with a mean of 43 and a…

A:

Q: The range is completely determined by the two ex- treme scores in a distribution. The standard…

A: The range is the difference between the minimum value and the maximum value of the sample.The…

Q: The mean of x1−x2 is _________ ​(Type an integer or a decimal. Do not​ round.)   The standard…

A: Given x1 = 30s1 = 24n1 = 16 x2 = 30s2 = 40n2 = 25

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 variable of two populations has a mean of 20and a standard deviation of 18 for one of the…

A:

Q: If the z-score of an observation in a set of normally distributed numerical data is bigger than…

A: Z score of any data point is distance from mean in terms of standard deviation and is calculated…

Q: A simple random sample of size n=15 is drawn from a population that is normally distributed. The…

A:

Q: A variable x is normally distributed in a population with mean u and standard deviation o. The…

A: The standard error of the mean of a simple random sample of size 100 chose from the population is…

Q: Why is the standard deviation of the distribution of sample means smaller than the standard…

A: Since we know that the  Central limit theorem is defined as  for a large enough sample size that is…

Q: c.) This hypothesis test is for the... Mean with the population standard deviation unknown using…

A: We have given that  Sample size=n=31 Mean=Xbar=1132 Sample standard deviation=S=104 mu=1100

Q: The number of years of education of self-employed individuals in the United States has a population…

A: Given Data: Population Meanμ=13.6 Population Standard deviationσ=3 n=100   We know that, x¯~ Normal…

Q: A scientist has read that the mean birth weight of babies born at full term is 7.6 pounds. The…

A:

Q: he local bakery bakes more than a thousand 1-pound loaves of bread daily, and the weights of these…

A: Let us denote X= The weights of these loavesGiven that X has mean=885 and standard deviation=…

Q: The number of years of education of self-employed individuals in the United States has a population…

A: Given that,Mean = 13.6Standard deviation = 3Sample size = 100

Q: A variable of two populations has a mean of 30 and a standard deviation of 24 for one of the…

A: Given: For first population: Mean, E(X1)=30Standard deviation σ1=24Sample size, n1=9 For second…

Q: Suppose we want to estimate the concentration (µg/mL) of a specific dose of ampicillin in the urine…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the standard error of the sampling distribution of the mean  when a random sample of size 20 is…

A: Given that , mean = μ = 75 standard deviation = σ = 3.9 n = 20

Q: A variable of two populations has a mean of 55 and a standard deviation of 36 for one of the…

A: From the given information,   μ1=55σ1=36μ2=55σ2=10    a) n1=9 and n2=4   E(x1-x2)=μ1-μ2…

Q: Jam collects a sample with size 16 from a normally distributed population. The sample gives a mean…

A: Given : Sample size (n) = 16 Sample mean (X) = 30.4 Sample standard deviation (s) = 6.2 α = 0.001

Q: Assume that a parent distribution is repeatedly sampled, and the same uncertainty is assigned to…

A: We want to tell you above statement is true or false.

Q: State the hypotheses

A: Our given Random variable X is normally Distributed to the average number of sick days a worker…

Q: Pregunta 9 tells us that for a sufficiently large sample size the distribution of the sample means…

A: We have given that the statement and the blank spaces to fill with the correct choice.

Q: he variability of sizes of the batch of screws were studied by the company owner. They took a sample…

A:

Q: The amounts of electricity bills for all households in a particular city have an approximately…

A:

Q: In an exam attended by 6000 people, the average of the grades is 60 and the standard deviation is…

A: It is given that the, In an exam attend by 6000 people, the average grade is 60 and the standard…

Q: The IQ scores of a large group of students are approximately normally distributed with a acaoat 100…

A: Given Mean = 100 Standard deviation = 15

Q: normally distributed with 0 for the mean and 1 for the standard deviation, what is the probaility…

A: Use the standard normal table to find the required probability.

Q: One property of the F-distribution used for the Analysis of Variance is that A. It is symmetric. B.…

A: In analysis of variance the refrence distribution is F distribution. And it is also called…

Q: A random sample of 25 students selected from the student body of a large university had an average…

A: According to the provided information,

Q: The IQ scores of a large group of students are approximately normally distributed with a mean of 100…

A: Given: μ=100σ=15

Q: 5. The variance on 17 bags of apples is found to be 5.5. The company that bags the apples claims…

A:

Q: Suppose you drew a random sample,n of 100 from a population and found mean =30, standard deviation =…

A: We have to find effect of sample size increase on variance of sampling distribution.

Q: Suppose you get a sample of size 31 from a normally distributed population of size 42 whose standard…

A: We have given that the sample size n=31 from a normally distributed population of size 42 whose…

Q: The mean age of employees at a large corporation is 47.2 years, with a standard deviation of 3.6…

A:

Q: The mean age of the employees at a large corporation is 35.2 years, and the standard deviation is…

A:

Q: A sample of size 26 is selected from a normally distributed population. The sample standard…

A: Given  n=26, s=9.3 standard error= ?

Q: A large corporation employs 37525 individuals. The average income of all employees is $76294, with a…

A: Given: Population mean=76294 Population standard deviation=17726 sample size=140 The population…

Q: An industrial company claims that the mean pH level of the water in a nearby river is 6.8. You…

A:

Q: A production process is checked periodically by a quality control inspector. The inspector selects…

A: It is given that a sample of 30 finished products is selected. Also, the results over a long period…

Q: Suppose we want to test the hypothesis that people using a new dose A of ampicillin have different…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: In an one-sample t-test, the value that is obtained for an observed t-score is determined by several…

A: Denote μ as the population mean.

Q: ariable has mean y = 120 and standard deviation 0 = 10. For a sample of size n=100, the standard…

A: Given : Let Y be a variable  Mean of y (μ) = 120 S.D of y (σ) = 10 Sample size (n) =  100

Q: A company is doing a hypothesis test on the variation of quality from two suppliers. Both…

A: Given Information :  A company is doing a hypothesis test on the variation of quality from two…

Q: A random variable is normally distributed with the mean of $1500.00 and standard deviation of $40.…

A: Given,sample size(n)=25mean(μ)=1500standard deviation(σ)=40

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.