QUESTION 10 Find P(11 < X < 15) if X is normally distributed with a mean of 14 and standard deviation of 2.
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- Q2: Suppose the current measurements in a strip of wire are assumed to follow a normal distribution with a mean of 10 milliamperes and a variance of 4 (milliamperes)² 1- What is the probability that a measurement will exceed 13 milliamperes? 2- what is the probability that a current measurement is between 9 and 11 milliamperes?A persons blood glucose level and diabetes are closely related XB a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Supposed to after a 12 hour fast the random variable X will have a distribution that is approximately normal with mean of u=87 and a standard deviation of O=25. Note: after 50 years of age both the mean and Standard deviation tends to increase for an adult under 50 after 12 hour fast find the following probabilities A) X is more than 60 B) X is less than 60 C) X is between 60 and 110 D) X is greater than 125 (borderline diabetes starts at 125)Q1.[5 points]: A researcher wants to assess if there is a difference in the average age of onset of a certain disease for men and women who get the disease. Let µ = average age of onset for women and µ2 = average age of onset for men. A random sample of 30 women with the disease showed an average age of onset of 83 years, with a sample standard deviation of 11.5 years. A random sample of 20 men with the disease showed an average age of onset of 77 years, with a sample standard deviation of 4.5 years. Assume that ages at onset of this disease are normally distributed for each gender, and assume the population variances are equal. i. What are the appropriate null and alternative hypothesis? ii. What is the value of the test statistics? iii. Why you decided to use the test statistics in part ii ? For a significant level of 0.05, what is the critical value (or critical region)? What is the appropriate conclusion to this test? iv. V.
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- Suppose that X is a normally distributed with mean 45 and standard deviation 12 Find the P(X>28)A certain variable has a bell-shaped distribution with mean μ=176.16μ=176.16 and standard deviation σ=4.9σ=4.9. You observe a value of x=184x=184. Is this a TYPICAL value of the variable (within 2 standard deviations of the mean), or an UNUSUAL one (more than 2 standard deviations from the mean)?Suppose X is normally distributed with a mean of 10 and a standard deviation of 2. What is thevalue of the z‐score when X <13?
