Assume a variable is normally distributed with a mean of 30 and standard deviation of 6. P(x>32) = Round to three decimal places. N
Q: Prothrombin time (PT) is a blood test that measures the time (in seconds) it takes for blood plasma…
A:
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…
A:
Q: A distribution of values mean of 50 and standard deviation of 2. What is the interval of the middle…
A: To find the interval containing the middle 84% of the data, we can use the z-score corresponding to…
Q: Mean = 9, median =12, standard deviation =4 Find the coefficient of skewness (round to two decimals)
A: From the provided information, Mean = 9, median = 12, standard deviation (s) = 4
Q: data that heights of young men are approximately Normal with standard deviation about 2.8 inches.…
A:
Q: IQ s normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual…
A: GivenMean(μ)=100standard deviation(σ)=15
Q: n = 22, ππ = .75 (Round your mean value to 2 decimal places and standard deviation to 4 decimal…
A:
Q: On a recent calculus exam, a class mean was 73 with a standard deviation of 2.7. Calculate the…
A:
Q: Scores on a test have a mean of 86 and a standard deviation of 13. Jerrica has a score of 94.…
A:
Q: The mean yearly rainfall in Sydney, Australia, is about 137 mm and the standard deviation is about…
A: The mean is 137 and the standard deviation is 69.
Q: H0:μ=58.455 H1:μ>58.455 Your sample consists of 46 subjects, with a mean of 58.8 and standard…
A: The random variable X is normally distributed. The sign of alternative hypothesis is greater than,…
Q: μ=42.895H0:μ=42.895 H1:μ≠42.895H1:μ≠42.895 Your sample consists of 22 subjects, with a mean of 42.4…
A: As the population standard deviation is not known, we will use t distribution.
Q: Assume that adults have IQ scores that are normally distributed with μ=38 and a standard deviation…
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: IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the IQ…
A: Excel formula: =NORMINV(0.305,0,1)=-0.5100
Q: ← Scores on the GRE (Graduate Record Examination) are normally distributed with a mean of 599 and a…
A: Given information Population mean μ =599, standard deviations σ=122,
Q: Compute the z-score for the data value x with the given values for the mean and standard deviation.…
A:
Q: ez-score for x = 61 is . So 61 is standard deviations (Choose one) ▼ the mean μ = 56. X
A: It is given thatMean, μ = 56Standard deviation, σ = 20Z-Score, Z = ( X - μ )/σwhere, Z be the…
Q: sume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. P(- b< z…
A:
Q: nd the mean and standard deviation for each uniform viation" answers to 4 decimal places.) Mean…
A: Formulae : Let X follows Uniform distribution over interval ( a , b ) Mean : μ= a + b 2 Standard…
Q: A population of values has a normal distribution with u sample of size n = 218. What is the mean of…
A: The given mean and the standard deviation .
Q: The average American man consumes 9.6 grams of sodium each day. Suppose that the sodium consumption…
A: Given Information : The average American man consumes 9.6 grams of sodium each day. Suppose that…
Q: A normal distribution has mean u = 56 and standard deviation o = 20. Find and interpret the z-score…
A: X follows a Normal distribution with mean = 56 and S.D = 20 Then z=(x-mean)/SD = (x-56)/20…
Q: A normal distribution has mean μ = 60 and standard deviation σ = 20. Find and interpret the z-score…
A: Step 1: State the given data: raw score, x = 75population mean, µ = 60population standard deviation,…
Q: A population of values has a normal distribution with = 139.7 and a = 91.3. You intend to draw a…
A: According to the given information in this question We need to find mean and standard deviation of…
Q: Weights of bags of sugar, X in kilograms (kg), from a manufacturer, are normally distributed with a…
A: Answer:- Given, Weights of bags of sugar, X in kilograms (kg), from a manufacturer, are normally…
Q: A normal distribution (X) has a mean of 100 and a standard deviation of 10. What is the x value that…
A: We have given that. X~N( μ , ?^2 ) μ=100 , ? =10 Z-score =( x - μ )/?
Q: Scores on a history test have average of 80 with standard deviation of 5. What is the probability…
A: From the provided information, Mean (µ) = 80 Standard deviation (σ) = 5 X~N (80, 5)
Q: scores are randomly distributed with a mean of 100 and a standard deviation of15. If a genius is…
A: Here we want to know score which separate top 1%. That is we find the 99 percentile.
Q: Suppose that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are normally…
A: Answer:- Given, Mean, µ = 3.1 unitsmL, Exactly 95% of healthy individuals have TSH levels below 5.9…
Q: Scores on the Wechsler-Adult Intelligence Scale for one age group has a bell shaped distribution…
A: We know that if X follows normal distribution with mean μ and variance σ2, then standardization…
Q: "On hold" times for callers to a local cable television company are known to be normally distributed…
A: The objective of this question is to find the average 'on hold' time for callers to a local cable…
Q: A normal distribution (X) has a mean of 100 and a standard deviation of 10. What is the x value…
A:
Q: Cat's live an average 16 years with a standard deviation of 4 years. Assume the distribution is…
A:
Q: Rosetta averages 148 points per bowling game with a standard deviation of 14 points. Suppose…
A: The mean is 148 and the standard deviation is 14.
Q: Cherry trees in a certain orchard have heights that are normally distributed with mean u = 112…
A: (A) To determine the proportion of cherry trees that are more than 120 inches tall in an orchard…
Q: A distribution is given as X~U (2,10). What is the 75th percentile? What is the 40th percentile?…
A: It is given that the X follows Uniform distribution with a as 2 and b as 10. X ~ U (2, 10).
Q: The body lengths of deer mice are known to vary approximately normally, with mean 86 mm and standard…
A: Here we need to test whether the vitamin supplements has increased the body length of the deer mice.
Q: If the sample size is n=81, find the mean and standard deviation of the distribution of sample…
A: It is given that X = IQ scores ~ N(mean = 95, SD = 18)
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…
A:
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
- The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days and a standard deviation of 14 days. A distribution of values is normal with a mean of 267 and a standard deviation of 14. What percentage of pregnancies last fewer than 274 days? P(X < 274 days) Let XX represent the full height of certain species of tree. Assume that XX is normally distributed with a mean of 82.1 feet and a standard deviation of 47.9 feet.Find the probability that the full height of a randomly selected tree is greater than 154 feet. P(X>154)cor A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 57.4 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams. At a = 0.04, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and H. Choose the correct answer below. OB H: u#57.4 H µ= 57.4 O A. Ho: µ = 57.4 H3: µ#57.4 C. Ho: H= 55 H: µ# 55 D. H,: u2 55 H µ<55 OF H: µz57.4 H: u< 57.4 O E. Ho: u#55 H: u= 55 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) O A. The critical values are + O B. The critical value isA distribution of values is normal with a mean of 120 and a standard deviation of 6. Find the interval containing the mid-44% of the values. Please show your answer to 1 decimal place. Interval = ( , )
- The one in the yellow is the previous tab.Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 236 feet and a standard deviation of 44 feet. We randomly sample 49 fly balls. Part (a) If X =average distance in feet for 49 fly balls, then give the distribution of X. Round your standard deviation to two decimal places. X ____, ________,_______ ~ . Part (b) What is the probability that the 49 balls traveled an average of less than 226 feet? (Round your answer to four decimal places.)Sketch the graph. Scale the horizontal axis for X. Shade the region corresponding to the probability. Part (c) Find the 70th percentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.) ft †Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.If P(-b<z<b)=0.9716, find b.
- A normal distribution with a mean of 2mm and a standard deviation of 0.05mm a randomly generated number of 0.71 , need to calculate the standardised Z value, from my notes Z = (actual value - mean)/standard deviation. do i take the randomly generated number of 0.81 as the actual value ?Scores on a history test have an average of = 70 with standard deviation of 5. What is the z-score for a student who earned a 65 on the test? What is the coefficient of variation? 2. The annual salaries of employees in a large company are approximately normally distributed with a mean of $70,000 and a standard deviation of $30,000. (6 points) What percent of people earn less than $40,000? What percent of people earn more than $85,000? What percent of people earn between $40,000 and $85,000? 3. Assume women’s heights follow a normal distribution with a mean of u = 64.5 inches and a standard deviation of 2.5 inches. Find the probability that a sample of 14 women have a mean height greater than 65 inches.A distribution of values is normal with a mean of 60 and a standard deviation of 3. Find the interval containing the mid-68% of the values. Please show your answer to 1 decimal place. Interval = (,)
- Assume that the mean height of men in the United States is 70 inches, with a standard deviation of 3 inches. A particular man is 80 inches tall. Find the z-score of his height. (Round to two decimal places.)The table below shows the summary statistics of the sales ($) made by company ABC in 2022. No. of month 12 134,562 135,000 48,997 95,000 185,000 90,000 Mean Median S.D Minimum Maximum Range The monthly profit should be adjusted by multiplying 0.88 then subtracting $30,000. Without calculating the profit for each month, find the new standard deviation of profit for 2022? (2 d.p.)Now use the binomial formulas below to find the mean and standard deviation when n = 5 and p = 0.04. Mean = u = n x p Standard Deviation = q = _/npq
