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- Lengths of human pregnancies have a bell-shaped distribution with mean 266 days and standard deviation 16 days. Based on the graph that is labeled through the use of the Empirical Rule, what percentage of human pregnancies last less than 234 days and what percentage of human pregnancies last more than 282 days?Suppose Z is the standard normal random variable. Use the standard normal distribution table to answer the following questions. (iv) Find P(Z> 1. 43 )e (v) Find P( Z k) = 0. 12e (vii) Find the 75th percentile of the standard normal distribution. (viii) Find the interquartile range of the standard normal distribution. Correct your answer to 2 decimal places.A sample of eight observations is taken from a normal distribution with unknown mean. The sample mean is 6.92 and the population standard deviation is 0.76. Find the 99% coincidence interval for that true mean of distribution? Critical value Z* = 2.58
- Question 5 A population of values has a normal distribution with μ random sample of size n = 215. Submit Question = 233.1 and o= 21.1. You intend to draw a Find the probability that a sample of size n = 215 is randomly selected with a mean less than 230.5. P(M < 230.5) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z- scores rounded to 3 decimal places are accepted.llMetro by T-Mobile X Group Work-Worksheet#1 on Ch... 1 of 2 Group Work-Worksheet#1 on Chapter 3 0.14% → 1. The Empirical Rule Based on Data Set 1" Body Data" in appendix B, blood platelet counts of women have a normal/bell-shaped distribution with a mean of 255.1 and a standard deviation of 65.4. (All units are 1000 cells/μL.) Using the empirical rule: -30 2.14% 1:40 PM 13.59% 99.73% 95.44% 68.26% 34.13% 34.13% 13.59% 77% 2.14% -20 -10 Mean lo 20 За a. 68.26% of women with platelet counts are within two standard deviations of the mean? The values are from ( b. 95.44% of women with platelet counts are within two standard deviations of the mean? The values are from ( 000 c. 99.73% of women with platelet counts are within two standard deviations of the mean? The values are from ( 0.14%I need help with all 5 parts if possible question 15
- A population of values has a normal distribution with �=144.5 and �=89.8. You intend to draw a random sample of size �=100.What is the mean of the distribution of sample means?��¯= What is the standard deviation of the distribution of sample means?��¯= Round to 4 decimal places.A population of proportions has a distribution with p=0.8p=0.8 and σ=0.4σ=0.4. You intend to draw a random sample of size n=25n=25.According to the Central Limit Theorem: What is the mean of the distribution of sample means?ˆp=p^= ______________What is the standard deviation of the distribution of sample means?(Report answer accurate to 3 decimal places.)σˆp=______________