There are two samples of children taken from a population. In the first sample,mean of age of 20 children is 8.5 years with standard deviation 3 years. In thesecond sample mean of age of 30 children is 7 years with standard deviation 2years. If we combine these samples, what are the mean and the standarddeviation of the combined sample? Age in which sample is more spread andwhy? Show your work by using formula and use 1 decimal place.

Combined mean : To integrate two or more things into a single entity is to link them together.When…

Answered: There are two samples of children taken…

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 SCORES ON THE SAT MATH HAD A MEAN OF 431 AND A STANDARD DEVIATION OF 117. What percent of students scored between a 314 and 548? THE SCORES ON THE SAT MATH HAD A MEAN OF 431 AND A STANDARD DEVIATION OF 117? How many students scored between a 314 and 548 if 800 students were taking the test? Find the z-score of a car getting 22.4 mpg if the mean mpg is 23.5 with a standard deviation of 1.5 mpg. Round to nearest hundredths if needed.
The scores on a test are normally distributed with a mean of 150 and a standard deviation of 30. Find the score that is 2 1/2 standard deviations above the mean.
When engaging in weight-control (fitness/fat burning) types of exercise, a person is expected to attain approximately 60% of his or her maximum heart rate. For 20-year-olds, this rate is approximately 120 bpm. A simple random sample of one hundred 20-year-olds was taken, and the sample mean was found to be 107 bpm, with a standard deviation of 45 bpm. Researchers wonder if this is evidence to conclude that the expected level is actually lower than 120 bpm. To determine this, we test the following hypotheses: Ho: H= 120 versus H₂ μ< 120 Suppose the mean and standard deviation obtained were based on a sample of size 25 rather than 100.
The average age of senators in the 108th Congress was 62 years. If the standard deviation was 12.5 years, find the z-scores corresponding to the oldest and youngest senators of age 86 and 46. Round z scores to two decimal places.
You will be comparing two sets of data for this assignment. 1. Determine the average number of toilet paper rolls* for Fall 2022 biochemistry and genetics students (individually) and calculate the standard deviation of each using the equation. Please be sure to show your work. I know that you can easily use tools like Microsoft Excel to calculate standard deviation, but I would like to see you complete the work by hand so that you get a sense of the role of each component of the equation. Ignore students that did not provide answers (don't use those students in the mean or N value calculations). 2. Please answer the following questions when you submit your data. Which group had a higher mean number of rolls of toilet paper? Which value had the most variability? Referring to the equation, how could you decrease the amount of variability in the mean? Did you find the variation surprising or unexpected? The two sets of data and the standard deviation formula pictures are attached…
Round each z-score to the nearest hundredth. A data set has a mean of x = 213 and a standard deviation of 48. Find the z-score for each of the following. (a) x = 200 (b) x = 224 (c) x = 300 (d) x = 100
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