Suppose a variable X is normally distributed with a standard deviation of 10. Given that .0985 of the values of X are greater than 70, what is the mean value of X?
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Suppose a variable X is normally distributed with a standard deviation of 10. Given that .0985 of the values of X are greater than 70, what is the
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- A recent study showed that the residents of a local town reported sleeping an average of u =7.97 hours each night with a standard deviation of o =0.424. A random sample of 10 residents had a sample mean of X = 7.766. Find the z-value of this sample mean. Write your answer to two decimal places.The scores on a distribution have a normal distribution with mean 65. Suppose the third quartile corresponds to75. What is the standard deviation by z-scoreThe time to finish a race in minutes is lognormally distributed. The mean of the log (base 10) transformed time is 2.38 and the standard deviation is 0.4. a. What is the time by which 80% of the runners will finish the race? b. What percent of runners will finish the race between 60 and 100 minutes?
- Suppose X is a non-standard normal variable, with a mean of 139, and std deviation of 15 (i.e. X~N(139,15)). You have an observation (z) on a standard normal scale (i.e. Z~N(0,1)). If z = 1.29, what is it on an X scale? How can I calculate this using excel & by hand?Suppose that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are normally distributed with a mean of 3.3 unitsmL. Suppose also that exactly 95% of healthy individuals have TSH levels below 6.2 unitsmL. Find the standard deviation of the distribution of TSH levels of healthy individuals. Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.Use the formula to find the standard error of the distribution of differences in sample means, x⎯⎯1−x⎯⎯2x¯1-x¯2.Samples of size 100 from Population 1 with mean 95 and standard deviation 10 and samples of size 80 from Population 2 with mean 76 and standard deviation 17Round your answer for the standard error to two decimal places.standard error =
- Ex. 4. The mean and standard deviation of the marks obtained by 1000 students in an examination are respectively 34.5 and 16.5. Assuming the normality of the distribution, find the approxiamte number of students expected to obtain marks between 30 and 60.It is observed that chances of rain during July has a standard deviation of 7. Find the mean if the z-score is -1.26 and the chances of rain is for 12 days. O 15 O 17 23 O 21 O 19A distribution of values is normal with a mean of 220 and a standard deviation of 8.Find the interval containing the middle-most 40% of scores: Incorrect Enter your answer using interval notation. Example: [2.1,5.6) Your numbers should be accurate to 1 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.