If we assume that the pH level of the stomach is a normally distributedrandom quantity with true mean and standard deviation 4, 0.6, respectively:a. What would be the distribution of the sample mean, X, based on a sampleof size n=100? Justify your answersb. Suppose that we randomly picked n=100 individuals from the populationabove. How likely is it that the sample mean pH level based on those 100individuals will fall between 3.9 and 4.01 units?

Answered: Image /qna-images/answer/ca194830-3143-4ac2-86e0-9892faabbeaa.jpg

Answered: If we assume that the pH level of the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The next five questions refer to the following scenario: • sample mean T = 10 • sample size n = 100 • population standard deviation O = 4
A population of N = 5 scores has a mean of u = 20 and a standard deviation of o = 4. Which of the following is the correct Interpretation of the standard deviation? O The average distance of scores from the mean of p- 20 is 5 points. O The average distance of scores from the mean of u = 20 is 1 point. The average distance of scores from the mean of u = 20 is 4 points. O The average squared distance of scores from the mean of u = 20 is 4 points.
Consider the data from the Anthropology 105 class. The mean for women is 64.33 in and the standard deviation is 2.64 in. The average height of men in the US is approximately 5ft 10in. What proportion of women represented here are shorter than the average man?
In the past, the mean age of consumers of a product was 38 years. Recently the product has been drastically changed. In order to determine whether there has been a change in the mean age of the product consumers, a sample of 16 consumers is selected. The mean age in the sample is 33 years and the standard deviation in the sample is 10 years. Let u = the mean age of the current product (Problem Set #7) consumers. The value of the test statistic is Oa. -2.00 O b.-1.60 OC .0.8 O d. 4.21
Do question 3
Answer number 3 only pls.
Now suppose that the true mean exposure time is different from 8h/day, yet the sample mean falls in the acceptance region. In this case we would fail to reject H0 when it is false. This type of wrong conclusion is called a A. type II error B. type I error C. no error D. statistically significant
Use the following information to answer the next four questions. A manager of a fast-food chain wants to analyze the length of time a vehicle spends at the drive-through window waiting for an order. According to records obtained from the chain, the population mean time spent waiting at the window was 236.5 seconds with a population standard deviation of 34.8 seconds. It is known that the distribution of time waiting at the window is extremely right-skewed. The waiting time was recorded for a random sample of 21 vehicles. For the random sample obtained, the sample mean waiting time was found to be 254.6 seconds with a sample standard deviation of 23.1 seconds. In this example, for the numerical values 236.5 and 254.6 O a. 236.5 is a parameter, 254.6 is a statistic O b. Both are parameters O C. Both are statistics O d. 236.5 is a statistic, 254.6 is a parameter
What is the mean and standard deviation of the sampling distribution of X¯X¯ for n = 16, if the sampled population has a mean of 48 and a standard deviation of 12? Select one: a. 4 and 1 b. 12 and 3 c. 48 and 3 d. 48 and 1 e. 48 and 12
Let the physics exam scores X follow a normal distribution with mean 80 and standard deviation 10. What score the student should get to be from the better of 10%of students
The results from a statistics class’ first test are as follows: The average grade obtained on the test by its 45 students is an 85, with a standard deviation of 15 points. Answer the following based on this information: a. Approximately how many people received a failing grade (less than 65) b. What percentage of people received a grade between a 70 and a 91? c. What percentage of individuals received a score whose z-score was -.70 or less? d. What grade is required in order to be in the top 15 percent? The top 10 percent? e. What percentage of people received a grade between 85 and 95? f. What percentage of people received a grade of 94 or less? g. What grade is required to be in the bottom 20%? h. What z-score is required to be in the top 40%? i. What percentage of individuals have a z-score between -1 and 1.40? j. What percentage of individuals have a z-score between 1.05 and 1.40?
If we meet these conditions, the sampling distribution of the mean will have a normal shape and ... The mean of the sampling distribution will be u, (i.e., the same as the population mean) and the standard deviation of the sampling distribution will be (that's the population standard deviation divided by the square root of the sample size). In the AP Stats Guy video, he talks about the number of text messages his students send during class. Suppose the average number of text messages his students send during class is u = 30 text messages. If we take samples of say, n = 36 students at a time, we would expect the mean of the sampling distribution we create to be the same as the population mean, 30 text messages. If we can further say that standard deviation of the number of text messages is 12 text messages, by how much would we expect the sample means to vary? (hint, use the formula above) text messages

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