; 16-16. A manufacturing concern wants to estimate the average amount of purchase of its product in a month by the customers. If the standard deviation is Rs. 10, find the sample size if the maximum error is not to exceed Rs. 3 with a probability of 0-99.
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- A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean ? = 81 and standard deviation ? = 26. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) (a) x is more than 60(b) x is less than 110(c) x is between 60 and 110(d) x is greater than 125 (borderline diabetes starts at 125)Suppose the scores of students on an exam are Normally distributed with a mean of 522 and a standard deviation of 83. Then approximately 99.7% of the exam scores lie between the numbers such that the mean is halfway between these two integers. and ☐In a population distribution a score of x equals 28 corresponds to z equals -1.00 and a score of x - 34 corresponds to z equals - 0.50 find the mean and standard deviation for the population
- A random sample of n=16 scores is obtained from a population with a standard deviation of 16. If the sample mean is greater than 8 points greater than the population mean, what is the z-score for the sample mean?4. A normal population has the mean of 20 and the variance of 100. A random sample of size n = 69 is selected. (a) Find the standard deviation of the sample mean. (b) How large must the sample be if you want to halve the standard deviation of the sample mean?Please answer all of the questions by showing calculations
- Suppose a population distribution has a mean = 150 and a standard deviation s = 30, and you draw a simple random sample of N = 100 cases. What is the probability that the mean is between 147 and 153?A population is normally distributed with mean 158 and standard deviation 45. A random sample of 56 is taken from the population. Find the standard error?A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean ? = 87 and standard deviation ? = 22. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) (c) x is between 60 and 110 (d) x is greater than 125 (borderline diabetes starts at 125)
- Suppose we are about to sample 150 values from a normally distributed population that has a mean of 500 and a standard deviation of 10. What is the 80th percentile of the sampling distribution of the sample mean in this scenario? (Give your numeric response to at least 3 decimal places.A simple random sample of 1000 observations is taken from a population of 10,000. What is the standard error of the sample mean?