Q: A factory took a study to know the length distribution of their pencils (this is our product). Taking 100 samples, and now, we know that the mean is 20 cm and a deviation of 0.3 cm. What is the probability to get a mean greater than 21cm in a new sampling of 200 elements? please help.

Q: A factory took a study to know the length distribution of their pencils (this is our product). Taking 100 samples, an...
A 2014 Pew study found that the average US Facebook user has 338 friends. The study also found that the median US Facebook user has 200 friends. The Pew study did not report a standard deviation, but given the number of Facebook friends is highly variable, let's suppose that the standard deviation is 194. Let's also suppose that 338 and 194 are population values (they aren't, but we don't know the true population values so this is the best we...
0 A study investigating the relationship between age and annual medical expenses randomly samples 100 individuals in a city. It is hoped that the sample will have a similar mean age as the entire population Complete parts a and b below. a. If the standard deviation of the ages of all individuals in the city is = 11find the probability that the mean age of the individuals sampled is within two years of the mean age for all individuals in...
A study investigating the relationship between age and annual medical expenses randomly samples 100 individuals in a city. It is hoped that the sample will have a similar mean age as the entire population. Complete parts a and b below. a. If the standard deviation of the ages of all individuals in the city is σ=15, find the probability that the mean age of the individuals sampled is within two years of the mean age for all individuals in the...
A study investigating the relationship between age and annual medical expenses randomly samples 100 individuals in a city. It is hoped that the sample will have a similar mean age as the entire population. Complete parts a and b below. a. If the standard deviation of the ages of all individuals in the city is σ=14, find the probability that the mean age of the individuals sampled is within two years of the mean age for all individuals in the...
The Pew study did not report a standard deviation, but given the number of Facebook friends is highly variable, let's suppose that the standard deviation is 192. Let's also suppose that 338 and 192 are population values (they aren't, but we don't know the true population values so this is the best we can do). (Use 3 decimal place precision for parts a., b., and c.) a. If we randomly sample 120 Facebook users, what is the probability that the...
9. (15.24) The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean 266 days and standard deviation 16 days. The probability that the average pregnancy length for 6 randomly chosen women exceeds 270 days is about a 0.40. b 0.27. c 0.07. 10. (15.12) The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. When...
It is known from previous study that, a product lifetime follow normal distribution and the standard deviation of its is 1 year. Now, an engineer is told that the mean lifetime of its should be 3 years. To verify this, he randomly selects 25 products for testing. He found that average lifetime of the samples is 3.412 years. Please perform a hypothesis test on the average lifetime of SSD with a p-value threshold of 0.05. ----------- And I also want...
Hi. I am taking a course in college level statistics. I have a problem with an assignment in the "Sampling Distribution" chapter. It reads: Blood potassium levels*. Judy's doctor is concerned that she may have hypokalemia (low potassium in her blood, measured in millimoles per liter, mmol/l). There is variation both in the actual potassium level and in the blood test that measures the level. Judy's measured potassium level varies according to the Normal distribution with mean (μ) = 3.8...
Question 17 (1 point) Let's say that i take our class to be a SRS and gather data on everyone's weight. Taking that sample we see that our sample mean is 68 kilograms. Assume that we magically know that the true population standard deviation is 10 kilograms. Based on our data, gathered from 40 students, can you give me an estimate on the true population mean weight? Give me a 95% Confidence interval O (64.9,71.1) (66.4, 69.92) (62, 74.2) (58.1,...
Probabilities: Sampling Means Now that we know when we can use the normal distribution, we can use the Empirical Rule and the Normal Table (opens in new window) to find the probabilities. Example 1 Recall our earlier scenario: The Federal Pell Grant Program provides need-based grants to low-income undergraduate and certain post-baccalaureate students to promote access to post-secondary education. According to the National Post-secondary Student Aid Study conducted by the U.S. Department of Education in 2008, the average Pell grant...