2. A normally distributed set of data has a mean of u = 31156 and a standara deviation ofo = 4.15. Construct the normal curve of the data.
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- Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 3000 grams and a standard deviation of 1000 grams while babies born after a gestation period of 40 weeks have a mean weight of 3500 grams and a standard deviation of 545 grams. If a 35-week gestation period baby weighs 3300 grams and a 41-week gestation period baby weighs 3800 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period? ..... Find the corresponding z-scores. Which baby weighs relatively more? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. The baby born in week 41 weighs relatively more since its z-score, is larger than the z-score of for the baby born in week 35. O B. The baby born in week 35 weighs relatively more since its z-score, is larger than the z-score of for the baby born in week 41. C. The baby born in week 41 weighs relatively more since its z-score, is…Assume that a normal distribution of data has a mean of 24 and a standard deviation of 5.Use the empirical rule to find the percentage of values that lie below 9.4. The cost of a daily newspaper varies from city to city. However, the variation among prices remains steady with a standard deviation of 18c. A study was done to test the claim that the mean cost of a daily newspaper is $1.00. Twelve costs yield a mean cost of 93¢ with a standard deviation of 17¢. Do the data support the claim at the 1% level?
- To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 40 feet. Assume the population standard deviation is 4.9 feet. The mean braking distance for Make B is 44 feet. Assume the population standard deviation is 4.6 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Identify the claim and state H, and Ha. What is the claim? A. The mean braking distance is different for the two makes of automobiles. B. The mean braking distance is less for Make A automobiles than Make B…To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)The sample mean X is to be used to estimate the mean u of a normal distribution with standard deviation 4 inches. How large a sample should be taken in order chat, with 90% probability, the estimate will be in error by at most one-half inch?
- With a mean of 10 and standard deviation of 5. Assume that the population data are normally distributed. Calculate the z-score for a raw score of 5. What proportion of the distribution is equal to or less than this score?After the physical training required during World War II the distribution of a mile run times for male students at the University of Illinois was approximately normal with a mean of 7.11 minutes in a standard deviation of 0.74 minutes what proportion of these students can run a mile in 5 minutes or less Using the same data what percent of students would take between 6 and 8 minutes to run a mileSuppose that heights of 10-year-old boys in the US vary according to a normal distribution with mean of 138 cm and standard deviation of 7. Compute the Z-score for a boy with height of 150 cm and find the correct interpretations. a. Boy's height is 0.71 standard deviation lower the national average b. Boy's height is 1.71 standard deviation above the national average c. Boy's height is 1.71 standard deviation lower than the national average d. Boy's height is 2.71 standard deviation above the national average
- Suppose the distribution of heights of a group of 300 children is normal, with a mean of 150 centimeters and a standard deviation of 12 centimeters. About how many of these children are taller than 162 centimeters? childrena data set has a mean of 210 and a standard deviation of 40, what is the z- Score for a ralue of140 IfSuppose that Melanie is a researcher who wishes to estimate the mean birthweight of full-term babies in her hospital. What is the minimum number of babies should she sample if she wishes to be at least 90% confident that the mean birthweight of the sample is within 225 grams of the the mean birthweight of all babies? Assume that the distribution of birthweights at her hospital is normal with a standard deviation of 600 g.
