16.) Assume that X is normally distributed with a mean of 12 and a standard deviation of 4. Determine P(6SX<13)?
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- A lot of 75 washers contains 6 defectives whose variability in thickness is unacceptably large. A sample of 10 washers is selected at random without replacement a. Find the probability that at least one unacceptable washer is in the sample b. Calculate the mean of (x) c. Calculate the standard deviation of (x)Assume that the amount of weight that male college students gain during their freshman year are normally distributed with a. Mean of u= 1.2 kg and a standard deviation of o= 5.1 kg A. If 1 male college student is randomly selected, Find the probability that he gains between 0 and 3 kg during freshman year B. If 25 male college students are randomly selected find the probability that their mean weight gain during freshman year is between 0 and 3 kg why can the normal distribution be used on pet b even though the sample size does not exceed 30?Suppose that the heart beat per minute (bpm) of adult males has a normal distribution with a mean of mu equals 68μ=68 bpm and a standard deviation of sigma equals 11.3σ=11.3 bpm. Instead of using 0.05 for identifying significant values, use the criteria that a value x is significantly high if P(x or greater)less than or equals≤0.01 and a value is significantly low if P(x or less)less than or equals≤0.01. Find the pulse rates for males that separate significant pulse rates from those that are not significant. Using these criteria, is a male pulse rate of 90 beats per minute significantly high?
- 6.- Assume that cans of Coke are filled so that the actual amounts have a mean of 12.00 oz and a standard deviation of 0.11 oz. a). Find the probability that a sample of 36 cans will have a mean amount of at least 12.19 oz. P( > 12.19) = b) Find x0 such that P(11.95 < X < x0 ) = 0.992) From the records of XYZ University, there were 1564 freshmen students who took the IQ test during 1t Sem of S.Y. 2018 – 2019. Assume that the IQ test scores are normally distributed with a mean of 108 and a standard deviation of 12. How many students have IQ scores (a) below 100; (b) above 120; and (c) betwe 95 and 125?The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 1.9 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. What is the median recovery time? daysc. What is the Z-score for a patient that took 4 days to recover? d. What is the probability of spending more than 3.9 days in recovery? e. What is the probability of spending between 2.4 and 3.3 days in recovery? f. The 85th percentile for recovery times is days. PLEASE ANSWERR ALLL QUESTIONS!! PLEASE STOP JUST ANSWERING 3 !!!
- The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 1.7 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. What is the median recovery time? daysc. What is the Z-score for a patient that took 4.2 days to recover? d. What is the probability of spending more than 3.3 days in recovery? e. What is the probability of spending between 3.4 and 4.1 days in recovery? f. The 90th percentile for recovery times is days.The average THC content of marijuana sold on the street is 10.9%. Suppose the THC content is normally distributed with standard deviation of 2%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. Round all answers to 4 decimal places where possible,a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 10.8. c. Find the 79th percentile for this distribution. %The mean height of 15 to 18-year-old males from Chile from 2009 to 2010 was 170 cm with a standard deviation of 6.28 cm. Male heights are known to follow a normal distribution. Let X = the height of a 15 to 18-year-old male from Chile in 2009 to 2010. Then X ~ N(170, 6.28). Suppose that the height of a 15 to 18-year-old male from Chile from 2009 to 2010 has a z-score of z = –2. What is the male’s height? (to the nearest hundredths). The z-score (z = –2) tells you that the male’s height is? standard deviations to the (right or left) of the mean?
- Suppose that the heart beat per minute (bpm) of adult males has a normal distribution with a mean of mu equals 73.4μ=73.4 bpm and a standard deviation of sigma equals 11.6σ=11.6 bpm. Instead of using 0.05 for identifying significant values, use the criteria that a value x is significantly high if P(x or greater)less than or equals≤0.01 and a value is significantly low if P(x or less)less than or equals≤0.01. Find the pulse rates for males that separate significant pulse rates from those that are not significant. Using these criteria, is a male pulse rate of 90 beats per minute significantly high?The patient recovery time from a particular surgical procedure is normally distributed with a mean of 4 days and a standard deviation of 1.7 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N( , )b. What is the median recovery time? daysc. What is the Z-score for a patient that took 5.2 days to recover?The average THC content of marijuana sold on the street is 9.9%. Suppose the THC content is normally distributed with standard deviation of 1%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. Round all answers to 4 decimal places where possible, a. What is the distribution of X? X ~ N( , ) b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 10.9. c. Find the 69th percentile for this distribution. %
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