The standard IQ test has a mean of 96 and a standard deviation of 14. We would like to know the minimum sample size needed to be 99% confident that we are within 4 IQ points of the true mean.

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: The population standard deviation for the height of students from STAT class is three inches. If we…

A: The confidence level is 98%, population standard deviation is 3, and margin of error is 1.

Q: A mandatory competency test for high school sophomores has a normal distribution with a mean of 400…

A: Given data Mean = 400 Standard deviation = 100 To find the top 3%, we need to find the z-value…

Q: If the standard deviation for a population increases, the standard error for sample means from the…

A: The standard error is a statistical concept that tests the precision with which a sample…

Q: Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69 bpm. For a random…

A:

Q: The population standard deviation for the age of a certain University students is 8 years. If we…

A: Population standard deviation, sigma is 8 years. The z-critical value for a 95% confidence interval…

Q: if an approxemitly  bell shaped distribution has a mean of 30 and standard deviation of 5, what…

A: Given that  X~N( μ = 30 , ? = 5 ) μ = 30 , ? = 5 Formula for Z-score Z-score =( x - μ )/?

Q: An advertising agency has stated that 20% of all television viewers watch a particular program. How…

A: From the provided information, An advertising agency has stated that 20% of all television viewers…

Q: A normally distributed variable has a mean of 75 and a standard deviation of 2. What is the z-score…

A: The z-score for 69 is obtained below: From the given information, the value of mean is 75 and…

Q: From the empirical rule we can deduce that, for any distribution, 95% of the observations fall…

A:

Q: If a population has a mean of 15 and standard deviation of 3, what is expected of the sample mean…

A:

Q: ​Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69 bpm. For a random…

A: We have to find test statistics..

Q: A person must score in the upper 2% of the population on an IQ test to qualify for membership in…

A: From the given information, consider X be a random variable denoting score in an IQ test for…

Q: what would the 95% confidence limits for a sample of 120 with a mean of 51 and a standard deviation…

A: It is given that mean and standard deviation are 51 and 12, respectively.

Q: Among 157 patients ,the mean systolic blood pressure was 146 mm Hg with a standard deviation of 27.…

A: We have to find alternative hypothesis...

Q: The standard IQ test has a mean of 96 and a standard deviation of 14. We would like to know the…

A:

Q: Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69 bpm. For a random…

A: Solution: State the hypotheses. Null hypothesis: H0: µ=69 Alternative hypothesis: H1: µ≠69

Q: Suppose the number of dollars spent per week on groceries is normally distributed. If the population…

A: Given information: Population standard deviation, σ is 7 dollars. Margin of error, E is 3 dollars.…

Q: Find the minimum sample size needed to be ninety seven percent confident that the true mean is…

A: Given,margin of error(E)=2.3standard deviation(σ)=7.3α=1-0.97=0.03α2=0.015Z0.015 =2.1701

Q: The standard IQ test has a mean of 100 and a standard deviation of 15. We want to be 99% certain…

A: Given data, μ = 100σ = 15E = 1.2ζ-value at 99% confidence is ζc = 2.576n = ?

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

A:

Q: .A person must score in the upper 2% of the population on an IQ test to qualify for membership in…

A: As per the guidelines we are allowed to solve maximum of 1 question. If you need help with other…

Q: Miss Romero noted that the mean scores of a random samples of 15 Grade- 8 students who had taken a…

A: Given,   Sample mean x¯ = 80.5standard deviation σ = 3Sample size n = 8

Q: the population standard deviation is 15, how large a sample is necessary to have a standard error…

A: Given  Population standard deviations σ=15, standard error=se>8

Q: Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69 bpm. For a random…

A: It is given that the claim is "The mean pulse rate​ (in beats per​ minute) of adult males is equal…

Q: If you have a population standard deviation of 10 and a sample size of 4, what is your standard…

A: Given,population standard deviation(σ)=10sample size(n)=4

Q: The standard IQ test has a mean of 96 and a standard deviation of 14. We want to be 99% certain that…

A: Given, Margin error (E) = 4 Standard deviation = 14   The objective is to find the sample.…

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

A:

Q: If a z-score is equal to −2.05, it is 2.05 standard deviations below the mean. True or False

A: The standardized difference, which measures the difference between a random score (i.e., a value…

Q: It has been reported that the mean score for a student who takes the certain test is 80 with the…

A: Given mean = 80 standard deviation, σ = 9 sample size, n = 100

Q: Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69   bpm. For a…

A: GivenThe mean pulse rate in claim = 69 beats per minuteThe sample size = 129standard deviation =…

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: A distribution has standard deviation of 41.9 and mean of 74. What is the coefficient of variation?

A: Given standard deviation=41.9 mean=74

Q: The coefficient of variant of the height of 20 people is 15% and the weight of the same 20 mean…

A: The formula for coefficient of variation is, CV = (σ/ µ) × 100%, where σ is the population standard…

Q: If a variable has a distribution that is​ bell-shaped with mean 16 and standard deviation 7 then…

A: given data  normal distribution μ = 16σ = 7 according to the Empirical​ Rule,68.0​% of the data will…

Q: ​Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69 bpm. For a random…

A:

Q: A nutritionist wants to estimate the mean amount of cholesterol in a certain variety of chicken…

A: Given Data: Level of significance=0.01  σ=25mg ME=10   To Find: 'n'

Q: Assume that adults have iq scores that are normally distributed with a mean of 97.9 and a standard…

A:

Q: The standard IQ test has a mean of 99, and a standard deviation of 16. We want to be 90% certain…

A: Given data,μ=99σ=16E=5Z-value at 90% Confidence is Zc=1.645n=?

Q: Suppose that IQ scores have a bell-shaped distribution with a mean of 103 and a standard deviation…

A:

Q: If SAT scores are normally distributed with a mean of 500 and standard deviation of 100, what…

A: Probability distributions are of two types, discrete and continuous distributions. Normal…

Q: ​Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69 bpm. For a random…

A:

Q: A psychologist believes that it will take at least an hour for certain special child to learn a…

A: Given,sample size(n)=30sample mean(x¯)=50population standard deviation(σ)=15α=0.01

Q: If a student scored 77 points on a test where the mean score was 84.5 and the standard deviation was…

A: Given: Score of student(x)=77Population meanμ=84.5Population standard deviationσ=5.1

Q: Suppose the finishing times for cyclists in a race are normally distributed. If the population…

A: Givenpopulation standard deviation = 16confidence level = 90%Critical Z score for 90% confidence…

Q: A distribution is known to be bell-shaped, with a mean of 82 and a standard deviation of 6. What…

A: Obtain the Z-score for the random variable X equals 76. The Z-score for the random variable X equals…

Q: If a normally distributed group of test scores have a mean of 70 and a standard deviation of 12,…

A: It is given that the mean is 70 and the standard deviation is 12.

Q: Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69 bpm. For a random…

A: Suppose, X be the pulse rate​ (in beats per​ minute) of adult males. and X follows Normal…

Q: The standard deviation of a sample is 3.0 and the standard error is -16.52, what was the original…

A:

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.