Suggested a probability distribution for modelling the sample mean under the following situations:
1. Sample size = 10, the population is normally distributed
2. Sample size = 10, the population is not normally distributed
3. Sample size = 100, the population is normally distributed
4. Sample size = 100, the population is not normally distributed
* If the model cannot be determined, define as "cannot be determined".
sample size = 100, the population is normally distributed. option 3 is correct. when sample size is greater than 30 we can choose it has normally distributed population.
Suggested a probability distribution for modelling the sample mean under the following situations: 1. Sample size...
A brake pad manufacturer claims that the mean life of its brake pads will last for 38,000 miles with standard deviation=1000 miles. You work for a consumer protection agency and you are testing this manufacturer’s brake pads. Assume that the life spans of the brake pads are normally distributed. (a) You examined an individual brake pad and it lasts for 37,650 miles. Calculate the probability of having an individual brake pad that lasts for 37,650 miles. Assume the manufacturer’s claim...
1) A sample of size 25 is chosen from a population. Assume the probability distribution is normal. If the mean of the sample is 80 and the standard deviation is 6, find the lower bound of the 99% confidence interval. Round off to three decimal places. 2) A sample of size 36 is chosen from a population. The sample mean is 50 and the standard deviation is 5. Find the upper limit of the 95% confidence interval for the population...
Answer and sketch questions 1 and 2 1. a) A random sample of size 36 is selected from a normally distributed population with a mean of 16 and a standard deviation of 3. What is the probability that the sample mean is somewhere between 15.8 and 16.2? b). A normally distributed population has a mean of 16 and a standard deviation of 3. What is the probability that a single event is somewhere between 15.8 and 16.2? 2. A bank...
Which of the following statements about the sampling distribution of the sample mean, x-bar, is not true? The distribution is normal regardless of the shape of the population distribution, as long as the sample size, n, is large enough. The distribution is normal regardless of the sample size, as long as the population distribution is normal. The distribution's mean is the same as the population mean. The distribution's standard deviation is smaller than the population standard deviation. All of the...
Complete parts (a) through (d) for the sampling distribution of the sample mean shown in the accompanying graph. Click the icon to view the graph. (a) What is the value of us? The value of his (b) What is the value of 0;? The value of oz is (c) If the sample size is n=16, what is likely true about the shape of the population? OA. The shape of the population is approximately normal. B. The shape of the population...
9. Consider the mean of a random sample of size 75, X. If S2 is the sample variance and the population is normally distributed with mean y, what is the distribution of 10. The mean weight of peanuts in a sample of size 16 from a barrel is 0.09 ounces. The standard deviation of the sample is 0.015 ounces. What is a 90% confidence interval for the mean weight of all peanuts in the barrel? Assume peanut weights in the...
normal probability distribution . Provide an appropriate response. (1 point) Samples of size n 15 are randomly selected from the population of numbers (0 through 9) produced by a random-number generator, and the standard deviation is found for each sample. What is the distribution of the sample standard deviations? O normal (approximately) O skewed to the right O skewed to the left O not enough information provided 15. Provide an appropriate response. point) Samples of size n 90 are randomly...
1. How do sampling distribution, population mean, sample mean, variability, sample size, and probability all relate to each other 2. How do probability, Type I Error, null hypothesis, and alpha all relate to each other
Solocting a distribution for inforences on the population mean Suppose that we want to estimate the number of holding penalties assessed during a college football game. The sample of games we pick has a mean of 3.4 penalties per game and a standard deviation of 0.7 penalties per game. For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean. (In the table, Z refers to a variable...
4. Suppose the population proportion is p = .6 and N=212000. What sample size is required for the sample proportion to be normally distributed? 5. If a population is slightly skewed and my sample size is 12, is the sample normally mean distributed? me a normal distribution for If n-83 what is the smallest population size N that will give 6. 4. Suppose the population proportion is p = .6 and N=212000. What sample size is required for the sample...