Which of following is NOT true about the central limit theorem? Choose the most appropriate answer. When we take a large number of random sample, the sampling distribution of the mean: has the standard deviation equal to the standard deviation of the sample divided by the square root of the sample size. approximates or is equal to the true population mean has the standard deviation equal to the population mean divided by the square root of the sample size. approximates or is equal to a normal curve.

Q: The sampling distribution of the mean becomes approximately normally distributed only when which of…

A: Central Limit Theorem: (CLT): The CLT gives the sum of 'n'  independently identically distributed…

Q: Let x be a random variable that represents the level of glucose in the blood (milligrams per…

A: Given that, X~ Normal (mean= 81 , s.d.= 45)  If sample size, n= 2   Then mean of X, X bar ~…

Q: 17) Assume that two samples are independent simple random samples selected from normally distributed…

A: The conditions for the Normal-distribution are appropriate as given below: The samples are randomly…

Q: Assume that the sample is a simple random sample obtained from a normally distributed population of…

A: Given information: Confidence level = 99% The sample size is within 20% of the population standard…

Q: Assume that the sample is a simple random sample obtained from a normally distributed population of…

A: The given table is,

Q: The standard deviation of pulse rates of adult males is   10 bpm. For a random sample of  157 adult​…

A:

Q: ributed.   ​(a) Identify the claim and state H0___________ and Ha._______________   ​(Type…

A: We have given that  Sample size=n=22 Mean=Xbar=15.3 Standard deviation=S=2.12 Mu=14.8

Q: Find the F-test statistic to test the claim that the population variances are equal. Both…

A: Given: Two populations are normally distributed. Standard deviation of first sample 2.8454. Standard…

Q: hormally distributed with a mean of 570 and a standard deviation of 125. The individuals who exceed…

A: Let X represents the scores on the test. Given that X follows N(mean=570, SD=125). For calculating…

Q: A manufacturer claims that the average lifetime of its lightbulbs is equal to 36 months. A random…

A: Given data A manufacturer claims that the average lifetime of its lightbulbs is equal to 36 months

Q: Which of the following statements is true? a). The mean of a random variable characterizes the…

A: Solution: Mean. Median and mode are the measures of central tendency. The range . standard…

Q: A normal distribution has a mean of 76 and a standard deviation of 8. Find the z-score for a data…

A: The normal distribution has a mean (m) of 76 and a standard deviation (s) of 8. Data value (x) is…

Q: about the normal distribution:    Select what applies.   1. the mean corresponds to the z score…

A: we have to find correct statement for each question

Q: A chip company claims that their 28 gram bags of chips contain an average of at most 36.5 milligrams…

A: Given that, n= 28 Ho: 28 gram bags of chips contain an average of at most 36.5 milligrams of factory…

Q: A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is…

A:

Q: Find the F-test statistic to test the claim that the variances of the two populations are equal.…

A:

Q: The mean life of a certain bulb is 1000 hours and its standard deviation is 100 hours. A new brand…

A: It is given that: Population mean =μ=1000 Population standard deviation=σ=100 The sample size is n.…

Q: A sample of 3000 observations has a mean of 88 and a standard deviation of 13. The distribution is…

A: Solution :  Given:   n   = 3000 samples              x¯   = 88               s   = 13 For bell…

Q: A statistician uses Chebyshev's Theorem to estimate that at least 90 % of a population lies between…

A: We have to find correct answer for given data..

Q: hich of the following statement is not correct about the central limit theorem? Group of answer…

A: The not correct answer is  As the sample size n increases, the graph of the averages approaches the…

Q: Which of following is NOT true about the central limit theorem? Choose the most appropriate answer.…

A:

Q: Which of the following is always true of a normal distribution? 1. It extends exactly three standard…

A: The normal distribution is a continuous distribution, which is symmetric about the mean.

Q: A large corporation employs 19185 individuals. The average income of all employees is $70616, with a…

A: a)The sampling distribution of x follows approximately normal distribution with mean,μx and standard…

Q: A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is…

A: Givensample mean(x)=15.3standard deviaiton(s)=2.11sample size(n)=23α=0.10

Q: The annual 2-mile fun-run is a traditional fund-raising event to support local arts and sciences…

A: It is given that the mean and standard deviation of finishing times are 30 and 5.5 minutes…

Q: Assume that the sample is a simple random sample obtained from a normally distributed population of…

A: As the sample is a simple random sample obtained from a normally distributed population, thus the…

Q: A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is…

A: For the given data Perform t test for one mean

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

A: Given, for a special type of painkiller, withdrawal symptoms occur in 2% of the cases. Here the…

Q: A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least…

A: Given, n = 23x¯ = 732σ = 56α = 0.08

Q: The residents of Toledo produce on average 600 pounds of solid waste each year, and the standard…

A: Obtain the weight range that contains at least 75% of all residents’ annual garbage weights.   The…

Q: A real estate company is interested in the ages of home buyers. They examined the ages of thousands…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

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

A: Given data, p=4%=0.04 n=2400

Q: A random sample of 80 eighth grade students' scores on a national mathematics assessment test has a…

A:

Q: An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.7 minutes,…

A: The hypothesis test is a statistical method in which one using the sample data try to check the…

Q: A real estate company is interested in the ages of home buyers. They examined the ages of thousands…

A: From the provided information, Mean (µ) = 40 Standard deviation (σ) = 10 X~N (40, 10) Here X is a…

Q: A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least…

A: (a) Let μ is defined as the population mean life of a certain type of light bulb. The claim of the…

Q: Which of the following is the possible value of the error of the estimation in the population mean…

A: From the provided information, Confidence level = 0.90 Sample mean (x̅) = 85.72 Standard deviation…

Q: Ten percent of the world's population is left-handed. A researcher claims that left-handed…

A: Given dataTen percent of the worlds population are left handed.A researcher took a sample of 900…

Q: 3. Which of the following statements are true? The pooled-variances t-test is used whenever the…

A: Solution T test for independent samples are used when the standard deviations are unknown.

Q: Which of the following is NOT a characteristic of a normal curve?   The two tails of the curve…

A: Solution

Q: An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.6 minutes.…

A: The t-test statistic is appropriate method when the population standard deviation is unknown. Then,…

Q: There are 120 students at Francis Howell North High School. Mr. Willott conducts a poll that asks 20…

A: According to Central Limit Theorem as we look through a very big data the mean of the data will get…

Q: A real estate company is interested in the ages of home buyers. They examined the ages of thousands…

A: I have shown all the details

Q: An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.4 minutes,…

A: Let n= sample size = 34 Given that sample mean x¯ = 12.1 min Standard deviation s = 2.3 min

Q: A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is…

A: From the given information we conduct t test for one mean.

Q: Find the F-test statistic to test the claim that the population variances are equal. Both…

A: Given : Claim : Population variances are equal  Both distribution are normal Standard deviation of…

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

A: The standard deviation of the first sample is 2.9659, and second sample standard deviation is…

Q: A manufacturer of tires wants to advertise a mileage interval that excludes no more than 3% of the…

A: Using  Tchebysheff’s Theorem, to find the interval:

Q: very Tuesday from 10 am to 11 am an accounting class has virtual office hours. The partial pmf is…

A: From the given pmf we find the solution.

Q: 1.Which of the following statements about a standard normal variable is true? a) It has a standard…

A: It is an important part of statistics. It is widely used.

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.