Distribution function of life span If F(t) = 1 – e¬At,2 > 0, find: a) Life function, sudden death function b) Probabilities '50P20 and 2015930
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- An economic instructor at UCF is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 19 students who took the course last semester follow # of observation(s) n = 19 # of independent variable(s) = 1 SSR = 3,882 SSE = 256 Find the Value for MSE (Use two decimals)A sample of 250 employees of a company is selected, and the average age is found to be 35 years. This value is a statistic or parameter. O statistic O parameterOn the first quarterly examination in Statistics and Probability of the 100 students of Grade 11 senior high school, their exam scores have a mean of 87 and a standard deviation 4 e) If the passing grade is 75, how many students passed? 0) What percentage of students have grades 93 and above? Gaussian Curve Gaussian Curve
- REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-REM sleep. However, it is thought that children have more REM sleep than adults†. Assume that REM sleep time is normally distributed for both children and adults. A random sample of n1 = 9 children (9 years old) showed that they had an average REM sleep time of x1 = 2.5 hours per night. From previous studies, it is known that ?1 = 0.6 hour. Another random sample of n2 = 9 adults showed that they had an average REM sleep time of x2 = 2.10 hours per night. Previous studies show that ?2 = 0.5 hour. Do these data indicate that, on average, children tend to have more REM sleep than adults? Use a 10% level of significance. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to two decimal places. Round the P-value to four decimal places.) test statistic critical value…SAT scores in one state is normally distributed with a mean of 1532 and a standard deviation of 200. Suppose we randomly pick 50 SAT scores from that state. a) Find the probability that one of the scores in the sample is less than 1492. P(X < 1492) = b) Find the probability that the average of the scores for the sample of 50 scores is less than 1492. P(X < 1492) = Round each answer to at least 4 decimal places.REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-REM sleep. However, it is thought that children have more REM sleep than adults†. Assume that REM sleep time is normally distributed for both children and adults. A random sample of n1 = 11 children (9 years old) showed that they had an average REM sleep time of x1 = 2.5 hours per night. From previous studies, it is known that σ1 = 0.7 hour. Another random sample of n2 = 11 adults showed that they had an average REM sleep time of x2 = 2.00 hours per night. Previous studies show that σ2 = 0.6 hour. Do these data indicate that, on average, children tend to have more REM sleep than adults? Use a 10% level of significance. Solve the problem using both the traditional method and the P-value method. (Test the difference μ1 − μ2. Round the test statistic and critical value to two decimal places. Round the P-value to four decimal places.) test statistic critical value…
- REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-REM sleep. However, it is thought that children have more REM sleep than adults†. Assume that REM sleep time is normally distributed for both children and adults. A random sample of n1 = 9 children (9 years old) showed that they had an average REM sleep time of x1 = 2.9 hours per night. From previous studies, it is known that σ1 = 0.6 hour. Another random sample of n2 = 9 adults showed that they had an average REM sleep time of x2 = 2.10 hours per night. Previous studies show that σ2 = 0.8 hour. Do these data indicate that, on average, children tend to have more REM sleep than adults? Use a 1% level of significance. (a) What is the level of significance? What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)Test 1 Marks of STAT200 students is known to be normally distributed with a mean of 34 and standard deviation of 10. What is the cut off point for the lower 20% of the students of Mark Test 1? Enter the Z value in the box (2 decimal places) - Enter the value of Mark Test 1 (Y) in the box (2 decimal places) -he life of a power expanentially disoributed with mean life of 25 years. IF three trowers operated independently transmission tower is being erected what is the probability that at Still Stand after 3s years? axe e A at the same time, least 2 ill years?
- For each random variable defined, describe the set of possible values for the variable, and state whether the variable is discrete or continuous. (a) U = number of times a surfer has to paddle in front of a wave before catching one (b) X = length of a randomly selected angelfishLet x luck indicate a lognormal distribution with u = 1, a ^ 2 = 1 parameter. So WHAT IS PROBABILITY P (X> 10)? a. 0097 b.084 c.none of them d.0.134 e.0.113
