The standard deviation of a variable is 15 . If a sample of 70 individuals is selected, (a) Find the standard error of the mean. Round the answer to three decimal places.   Standard error of the mean  =   (b) Find the sample size needed to cut the standard error of the mean in half. Round intermediate calculations to three decimal places and round your final answer up to the nearest whole number.   Sample size  =

Q: A particular fruit's weights are normally distributed, with a mean of 678 grams and a standard…

A: Let X denote the fruit's weights. Given that X follows N(mean = 678, SD = 8), then Z = (X - mean)/SD…

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A:

Q: we assume the population mean is 98.60 and the standard deviation is 0.65, what is the probability…

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Q: A basketball player has a scoring average of 0.325 each week of the season, with a standard…

A: Given: μ=0.325σ=0.065

Q: In a given school year, the ACT test mean score was 21 with a standard deviation of 4.9.  The same…

A:

Q: The scores on a mathematics exam have a mean of 71and a standard deviation of 8. Find the x-value…

A: Let X denote the scores on a mathematics exam and it follows normal distribution with mean of…

Q: SAT scores are normally distributed with a mean of 1500 and a standard deviation of 300. ACT scores…

A: Z-Score:             It is a dimensionless quantity that is used to indicate the signed, fractional,…

Q: standard deviation of 0.34 ounces. A sample of 79 cans of coffee is taken and ?⎯⎯⎯x¯ was found to be…

A: In question, Given that The weight of all cans of coffee has a standard deviation of 0.34 ounces. A…

Q: USA Today reports that the average expenditure on Valentine's Day was expected to be %100.89 . Do…

A: Given: For males: n1 = 42 X1 = 137.96 σ1 = 32 For females: n2 = 37 X2 = 66.6 σ2 = 18 Formula Used:…

Q: The mean and standard deviation of a population are 555 and 40, respectively. a. For a sample size…

A:

Q: For a normally distributed population with a mean of 40 and a standard deviation of 5.5 find P(38 <…

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Q: The weight of newborn babies is normally distributed, with a mean of 3.3 kilograms and a standard…

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Q: For Jimena to be accepted into her favorite college, she will have to earn an entrance exam score at…

A: The exam scores are normally distributed with the mean, μ=790, and standard deviation, σ=50. Now, it…

Q: A particular fruit's weights are normally distributed, with a mean of 304 grams and a standard…

A: Solution Given that, Mean(μ) = 304Standard deviation (σ) = 19

Q: The average price of an instrument at a small music store is $345. The standard deviation of the…

A:

Q: The weights for newborn babies is approximately normally distributed with a mean of 5 pounds and a…

A: It is given that the The weights for newborn babies is approximately normally distributed with a…

Q: How many retired people should be sampled if we want to calculate with 92% confidence the true mean…

A: The provided information are: Confidence level = 92% Margin of error (E) = 0.8 Population standard…

Q: USA Today reports that the average expenditure on Valentine's Day was expected to be $100.89. Do…

A: For the given data Find the 99% C.I

Q: A new drug has been found to be effective in treating 70% of the people afflicted by a certain…

A: Given data, p=70%=0.70 n=900

Q: The distribution of head circumference for full term newborn female infants is approximately normal…

A: The distribution of head circumference for full-term newborn female infants is approximately normal…

Q: Suppose that heights of adult men in the United states are normally distributed with a mean of 71…

A:

Q: A population has a mean of 75 and a standard deviation of 15. If you randomly sample 9 people from…

A: Mean = 75 Standard deviation = 15 Sample size = 9

Q: USA Today reports that the average expenditure on Valentine's Day was expected to be $100.89. Do…

A: Given: n1=46x¯1=130.6σ1=33n2=31x¯2=66.39σ2=20 CI = 99%=0.99

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

A: The random variable X is normally distributed. The standard deviation of a variable is 16. The…

Q: USA Today reports that the average expenditure on Valentine's Day was expected to be 100.89. Do male…

A: From the provided information,

Q: The average weight of a chicken egg is 57 grams with a standard deviation of 5.1 grams. What is the…

A: According to central limit theorem, for large sample (&gt;30) or if the population follows normal…

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 scores of students on a college entrance exam were normally distributed with a mean of 18.3 and…

A: Given: μ=18.3σ=6.5Sample size, n=57

Q: The heights of adult men in America are normally distributed, with a mean of 69.2 inches and a…

A: Let X be the height of men  And Y be the height of women  mean=μ deviation=σ X~N(μ=69.2, σ=2.64)…

Q: The weights of 100 female students aged 15 to 20 years have a mean of 120 pounds and a standard…

A: Given distribution is normal distribution. Let, X: Weight of female students  In this example…

Q: The mean price of the fish in a pet shop is $2.93, and the standard deviation of the price is $0.59.…

A:

Q: Suppose that pulse rates among healthy adults are normally distributed with a mean of 79…

A: Based on the provided information, Mean=79 beats/minute Standard deviation=10 beats/minute

Q: The monthly internet bills in a household are normally distributed with a mean of P1200 and a…

A: Ans:  The monthly internet bills in a household are normally distributed with a mean μ =  P1200 and…

Q: The heights of adult men in America are normally distributed, with a mean of 69.1 inches and a…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: Suppose that pulse rates among healthy adults are normally distributed with a mean of  81…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 277 grams and a standard…

A:

Q: Use Chebyshev's rule to find out the range in which at least 89% of the seed values will fall

A: Given that mean = 42 And SD = 3

Q: Who has the larger dog relative to their breed?

A: It is given that For Golden Retriever, X = 70.2, mean = 67 and SD = 2.5 For St Bernard, X = 215,…

Q: The combined SAT scores for the students at a local high school are normally distributed with a mean…

A: Let X denote the combined SAT scores for the students at a local high school and it follows normal…

Q: USA Today reports that the average expenditure on Valentine's Day was expected to be $100.89. Do…

A: Given information Let 1 denotes male and 2 denotes female n1 = 50 n2 = 33

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: A particular fruit's weights are normally distributed, with a mean of 556 grams and a standard…

A:

Q: The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1300…

A: A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if its…

Q: USA Today reports that the average expenditure on Valentine's Day was expected to be $100.89. Do…

A: The sample size for males is 40, mean is 133.85, population standard deviation is 34, and the sample…

Q: Solve step by step in digital format Suppose that the average income of the engineers hired at…

A: Given: μ = 17000 σ = 3000   Formula Used: Z-score = X-μσ

Q: t of a Great Dane is 63.0 kg with a standard deviation of 2.3 kg.  Suppose a researcher randomly…

A: The standard deviation of the mean can be calculated as: SE=σn Here, σ = Standard deviation n =…

Q: Suppose that the average income of the engineers hired at REDUNO presents an approximately normal…

A: Solution-: Given: μ=17000, σ=3000 We want to find, (a) P(the employees will have incomes greater…

Q: USA Today reports that the average expenditure on Valentine's Day was expected to be $100.89. Do…

A: Given data : Given Data : For male x̄1 = 136.64 n1 = 44 σ1= 35 For…

Q: he annual income of residents in a county is $42,000, with a standard deviation of $10,000. (b) What…

A: Normal probability is a type of continuous probability distribution that can take random values on…

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.