14:34. Suppose the waist measurements W of 800 girls are normally distributed with mean ems ana standard deviation 5 cms. Find the number N of girls with waists- (i) between 65 cms and 70 cms: (ii) greater than or equal to 72 cms.
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- C 14-34. Suppose the waist measurements W of 800 girls are normally distributed with mean oms and standard deviation 5 cms. Find the :number N of girls with waists- (i) between 65 cms and 70 cms; (ii) greater than or equal to 72 cms. 66 (1)The mean systolic blood pressure in a certain population of men between the ages of 20 and 24 is known to be 120 mm Hg, with a standard deviation of 20 mm Hg.d) what proportion of readings fall between 100- and 140-mm Hg? e) what proportion of readings are less than 60mm Hg or greater than 180mm Hg?4. The specification of the melting point of an alloy is 1200 degrees Celsius. If the melting point differs from this by more than 20 degrees, the composition of the alloy will have to be changed. Assume the melting point is normally distributed with standard deviation 35 degrees. A sample of 25 alloys were obtained and the average melting point were 1224 degrees. By using a = 0.01, determine whether the composition of the alloy will have to be changed? JTM
- 69. The sample average unrestrained compressive strength for 45 specimens of a particular type of brick was com- puted to be 3107 psi, and the sample standard deviation was 188. The distribution of unrestrained compressive strength may be somewhat skewed. Does the data strong- ly indicate that the true average unrestrained compres- sive strength is less than the design value of 3200? Test using a = .001.10. (S-AQ 11.45) To estimate the mean height µ of male students on your campus, you will measure an SRS of students. You know from government data that the standard deviation of the heights of young men is about 2.8 inches. You want your sample mean x to estimate p with an error of no more than one-half inch in either direction. What standard deviation (+0.0001) must x have so that 99.7% of all samples give an x within one-half inch of p? (Use the 68-95-99.7 rule)| How large an SRS do you need to reduce the standard deviation of x to the value you found in the previous part? eBook Hint Check Syntax6. A distribution with a µ = 55 and o = 6 is standardized so that the new mean and standard deviation will be u = 50 and o = 10. When the new distribution is standardized, what value will be obtained for a score of x = 52 from the original distribution? a. X= 45 b. X = 47 C. X= 52 d. X = 53
- The arm span of a team of athletes was measured and listed in the attached image (Problem-Image2.jpg). a) Calculate the mean arm span, ?̄. b) Complete the table and calculate (to two decimal places of accuracy, the standard deviationof the data.). Check the equation in the attached image (Problem-Image3.jpg)A factory manager knows that the pieces produced by their machine will have lengths which are normally distributed, with mean 10 cm and standard deviation 4 mm. If this is true, then 95% of the pieces produced will have lengths between What?6a.) Draw the graphs. Round your final answers up to 6 decimal places, if applicable. Give the correct units.
- Assume that IQ scores are normally distributed with μ = 100 and σ = 15 What IQ score would be needed to score in the top 2% of IQ scores?Suppose the mean and standard deviation of the GPAs at school are Xbar = 1.654; and s = -0.562Adam's GPA has a z-score of -1.460. What is Adam's GPA?(Leave your answer to 2 decimals: ex: 1.23)3.1. Suppose that the height of the women is a normal variable with a mean of 1.62 meters (m) and a standard deviation of 24 centimeters. Calculate the percentage of women who measures (a) more than 1.70 m. (b) between 1.66 and 1.58 m. (c) less than 1.50 m. d) between 1.60 and 1.63 m.