A variable of a population has a mean of μ=300μ=300 and a standard deviation of σ=63σ=63. The sampling distribution of the sample mean for samples of size 81 is approximately normally distributed with mean_______ and standard deviation____
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- Which of the following statement is FALSE about X? ANOVA Source of variation df MS F stat P-value F crit Between Groups 5.2 a 2.6 Y 0.4177 3.8853 33.2 2.7667 Total 38.4 A. Within group variation В. Error C. Measure the variability between all group's mean and the grand mean. D. Measure the variability of the observed value around their respective group mean. А C D Answer1.3 answer in 2 decimal places No need solutionsCh 8 FRQ ( The distribution of average speeds of the top 53 drivers in NASCAR is roughly symmetric, unimodal, and bell-shaped, with a mean of 184.8 mph and a standard deviation of 7.2 mph. In the space above, draw a Normal Curve, from z=-3 to z=+3. Draw vertical lines at the mean and each whole number standard deviation above and below the mean. Write two rows of numbers under the base line; one row with the number of standard deviations above and below the mean (z-scores), and a row under that with the actual values for this problem. ] What percent of drivers would you expect to have speeds below 199.2 mph ? Show all work. s] What is the area under the curve to the left of a speed of 170.4mph Show all work. What is the probability that a driver selected at random will have a speed below 172.0 mph ? Show all work. B] What percent of drivers would you expect to have a speed above 177.0 mph ? Show all work. How many drivers would you expect to have speeds between 170.4 mph and 177.0 mph…
- Using a mean of 10 and standard deviation of 2.45, convert these z-scores back into raw scores. z-score = 1.11 Raw Score= _______________ z-score = -1 Raw Score= ______________ z-score= -0.92 Raw Score= _____________Trap spacing measurements (in meters) for a sample of seven teams of red spiny lobster fisherman are reproduced in the accompanying table. Let u represent the average of the trap spacing measurements for the population of red spiny lobster fisherman. The mean and the standard deviation of the sample measurements are x = 91.4 meters and s = 12.2 meters, respectively. Suppose you want to determine if the true value of µ differs from 95 meters. Complete parts a through h below. μ 94 100 108 97 83 71 87 a. Specify the null and alternative hypotheses for this test. OA. Ho: μ = 95 Ha: μ 95 d. Find the approximate p-value of the test. OD. Ho: μ = 95 H₂:μ #95 a MacBook Pro NextThe lengths of pregnancies in a small rural village are normally distributed with a mean of 266 days and a standard deviation of 16 days. In what range would you expect to find the middle 95% of most pregnancies? Between_______ and________ . If you were to draw samples of size 52 from this population, in what range would you expect to find the middle 95% of most averages for the lengths of pregnancies in the sample? Between __________and ________. Enter your answers as numbers. Your answers should be accurate to 1 decimal places.
- A population of values has an unknown distribution with μ=109.2μ=109.2 and σ=15.3σ=15.3. You intend to draw a random sample of size n=88n=88.What is the mean of the distribution of sample means?μ¯x=μx¯= ____________ (Please enter an exact answer.)What is the standard deviation of the distribution of sample means?σ¯x=σx¯=_____________ (Please report your answer accurate to 2 decimal places.)The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days and a standard deviation of 13 days. In what range would you expect to find the middle 50% of most pregnancies? Between________ and _________. If you were to draw samples of size 53 from this population, in what range would you expect to find the middle 50% of most averages for the lengths of pregnancies in the sample? Between _________and_______ . Enter your answers as numbers. Your answers should be accurate to 1 decimal places.The lengths of pregnancies in a small rural village are normally distributed with a mean of 263 days and a standard deviation of 14 days. A distribution of values is normal with a mean of 263 and a standard deviation of 14.What percentage of pregnancies last fewer than 252 days?P(X < 252 days) = _________%
- HW Score: 0%, 0 of 8 points O Points: 0 of 1 Part 1 of 2 A population has a mean u=79 and a standard deviation o = 8. Find the mean and standard deviation of a sampling distribution of sample means with sample size n= 64. H: = (Simplify your answer.)Batting Averages. An issue of Scientific American revealed that batting averages, x, of major-league baseball players are normally distributed and have a mean of 0.270 and a standard deviation of 0.031. For samples of 20 batting averages, identify the distribution of each variable.Breaking Strength of Steel Cable The average breaking strength of a certain brand of steel cable is 2000pounds, with a standard deviation of 100pounds. A sample of 20 cables is selected and tested. Find the sample mean that will cut off the upper 91% of all samples of size 20 taken from the population. Assume the variable is normally distributed. Round intermediate z-value calculations to 2 decimal places and round the final answer to at least 2 decimal places. The sample mean that will cut off the upper 91% of all samples of size 20 is ____ pounds.