The length of human gestation is well-approximated by a normal distribution with mean days and standard deviation = 8.5 days. (a) Graph the corresponding pdf and cdf in Matlab or R. 280
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- 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.Currently patrons at the library speak at an average of 60 decibels. Will this average decline after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 61 people speaking at the library. Their average decibel level was 57.2 and their standard deviation was 7. What can be concluded at the the a = 0.10 level of significance?Suppose that the recovery time from the infection with a certain virus is normally distributed with a mean of 6.5 days and a standard deviation of 1.5 days. Answer each question. Draw a graph illustrating the recovery time. Make sure to indicate 3 standard deviations from the mean. P(X>7.3)=? P(X <4.7)=? P(5.1<X<7.7)=? John's recovery time is lasting more than 9.2 days. Is it unusual (and should he be concerned yet)? What is the middle 90% recovery time? What is the 80%tile recovery time?
- The following data relate to marks in Advanced Accounts and Business Statistics in B.Com. (H.), Il yr Examination of a particular year in Delhi University : Mean Marks in Advanced Accounts Mean Marks in Business Statistics Standard Deviation of Marks in Advanced Accounts Standard Deviation of Marks in Business Statistics Coefficient of Correlation between the Marks in Advanced Accounts and Business Statistics Find the two regression lines and calculate the expected marks in Advanced Accounts if the marks secured by a student in Business Statistics are 40. = 30 = 35 = 10 = 7 = 0-8Suppose that the hemoglobin levels among healthy females are normally distributed with a mean of 14.1 gdL. Research shows that exactly 95% of healthy females have a hemogoblin level of 16.1 gdL. What is the standard deviation of the distribution of hemoglobin levels and healthy females. Carry you intermediate computations to atleast four decimal places, and round your answer to at least two decimal places.Derive the PDF MGF mean and variance of Non Central Chi Square
- The mean score on a driving exam for a group of driver's education students is 60 points, with a standard deviation of 3 points. Apply Chebychev's Theorem to the data using k=2. Interpret the results. At least ( )% of the exam scores fall between ( )and ( )Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2600 grams and a standard deviation of 600 grams while babies born after a gestation period of 40 weeks have a mean weight of 2900 grams and a standard deviation of 440 grams. If a 35-week gestation period baby weighs 2775 grams and a 40-week gestation period baby weighs 3075 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 40 weighs relatively more since its z-score, is smaller than the z-score of for the baby born in week 35. B. The baby born in week 40 weighs relatively more since its z-score, is larger than the z-score of for the baby born in week 35. O C. The baby born in week 35 weighs relatively more since its z-score, is larger…Suppose that replacement times for washing machines are normally distributed with a mean of 9.4 years and a standard deviation of 1.2 years. Find the replacement times for the middle 54%Round your answers to 3 decimal places.
- A psychologist is studying smokers' self-images, which she measures by the self-image (SI) score from a personality inventory. For adults in the U.S., the mean SI score from this inventory is about 150. The psychologist gathers a random sample of 16 SI scores of smokers and finds that their mean is 130 and their standard deviation is 31. Assume that the population of SI scores of smokers is normally distributed with mean μ. Based on the sample, can the psychologist conclude that μ is different from 150? Use the 0.05 level of significance. Perform a two-tailed test. Then fill in the table attached. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.. It is desired to estimate the mean time of continuous use until a wireless router will first required service. If it can be assumed that the standard deviation is 60 days, how large a sample is needed so that one will be able to assert with 95% confidence that the sample mean is off by at most 10 days?Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of 2.9286 (to 4 decimal places)