Statistics Assignment work:Task 3: The means of two samples of sizes50 and 100 respectively are 54-1 and 50-3and the Mandard deviations are 8 and 7.Obtain the standard deviation of the sampleof size 150 obtained by combining the twOsamples.

Answered: Image /qna-images/answer/27a4743c-75df-4494-8f50-064de1a7ce10.jpg

Answered: Task 3: The means of two samples of…

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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Mason earned a score of 226 on Exam A that had a mean of 250 and a standard deviation of 40. He is about to take Exam B that has a mean of 550 and a standard deviation of 25. How well must Mason score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.
A school newspaper reporter decides to randomly survey 15 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 13% of students attend Tet festivities. We are interested in the number of students who will attend the festivities. O Part (a) O Part (b) O Part (c) Give the distribution of X. -O(0:0) O Part (d) How many of the 15 students do we expect to attend the festivities? (Round your answer to the nearest whole number.) student(s) O Part (e) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.) O Part (f) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
i already have answer in question A-D. please help me to solve the rest. topic is unkown standard deviation
Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest
Jeremiah earned a score of 530 on Exam A that had a mean of 450 and a standard deviation of 40. He is about to take Exam B that has a mean of 63 and a standard deviation of 20. How well must Jeremiah score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.
A random sample of 34 chemists from Washington state shows an average salary of $41857, the population standard deviation for chemist salaries in Washington state is $697. A random sample of 35 chemists from Florida state shows an average salary of $44632, the population standard deviation for chemist salaries in Florida state is $900. A chemist that has worked in both states believes that chemists in Washington make a different amount than chemists in Florida. At a=0.05 is this chemist correct? Let Washington be sample 1 and Florida be sample 2. The correct hypotheses are: Ο Ηο: μι μ2(claim) Ο Ηο: μι 2 με HAM12(claim) Ho: M₁ = H2 1 HAM12(claim) Since the level of significance is 0.05 the critical value is 1.96 and -1.96 The test statistic is: (round to 3 places) The p-value is: (round to 3 places)
A statistician wants to determine if there is a significant difference in the average height of male and female college students. He collects a random sample of 100 males and 100 females and calculates their heights (in cm). The sample mean height for males is 175 cm and the sample mean height for females is 165 cm. The sample standard deviation for males is 6 cm and the sample standard deviation for females is 5 cm. Conduct an independent samples t-test to determine if there is a significant difference in the average height between males and females at a significance level of 0.05.
In a class with 50 students, a 60-item test is conducted. After the test, it is found that the mean of the scores is 40 and the standard deviation is 5. Assuming normal frequency distribution, determine the scores of the students within 1 standard deviation.
B. Solve the following problems. 1. The mean number of hours a Filipino worker spends on the computer is 3.1 hours per workday. Assume the standard deviation is 0.5 hour and is normally distributed, how long does a worker spend on the computer if his z-score is 1.2? 2. Each month, a Filipino household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard deviation is 2 pounds. Determine the z-score of a household that generates 22 pounds of newspaper. 3. The Candelaria Automobile Association reports that the average time it takes to respond to an emergency call is 30 minutes. Assume the variable is normally distributed and the standard deviation is 4.5 minutes. How long will a call be responded if it has a z-score of 0.75? d 4. The average monthly salary for newly - hired teachers is P21,945. If the distribution is approximately normal with a standard deviation of P3250. How much will a teacher earn in a month if his salary has a z-score of 1.15?
Can someone explain the formulas used in these type of questions and where each number belongs in the formula The average size of a farm in Texas is 185 acres. The average size of a farm in Kansas is 220 acres. Assume that the data were obtained from two samples with standard deviations of 40 and 15 acres, respectively, and a sample size of 10 and 12, respectively. Can it be concluded with a=0.05 that the average size of the farms in the two states is different? Assume that the population is normally distributed.

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Task 3: The means of two samples of sizes 50 and 100 respectively are 54-1 and 50-3 and the Mandard deviations are 8 and 7. Obtain the standard deviation of the sample of size 150 obtained by combining the twO samples.