7.40 The z statistic, distributions of means, and height,question 2: Another teacher decides to average theheights of all 15-year-old male students in his classesthroughout the day. By the end of the day, he has mea-sured the heights of 57 boys and calculated an averageof 68.1 inches (remember, for this population µ3.19 inches).67inches and o =a. Calculate the mean and the standard error of thedistribution of mean heights.b. Calculate the z statistic for this group.C What percentage of groups of people would weexpect to have mean heights, based on samples ofthis size (57), taller than this group?d. How often do mean heights equal to or moreextreme than 68.1 occur in this population?How does this result compare to the statistical sig-nificance cutoff of 5%

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Answered: 7.40 The z statistic, distributions 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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You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 32 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a= 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 32 31 26 31 34 41 25 24 290 27 30 33 30 29 28 30 25 23 OD. Ho p 32 Ha p2 32 Ha p< 32 Ha us 32 (b) Use technology to find the P-value. P = (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer.
You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 34 27 26 35 29 39 25 26 290 28 28 34 30 32 28 29 26 24 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H3? O A. Ho: H= 31 B. Ho, μs 31 O c. Ho : μ= 3 Ha: H#31 Ha: u> 31 Ha: H31 OF. Ho: H231 Ha: u231 Ha: us 31 Ha: µ<31 (b) Use technology to find the P-value. P = (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Reject Ho because the P-value is less than the significance level. O B. Fail…
An employment information service claims the mean annual salary for senior level product engineers is $96,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At a=0.10, test the claim that the mean salary is $96.000. Complete parts (a) through (e) below. Assume the population is normally distributed (a) Identify the claim and state Ho and H₂. Ho Y M H₂ N ▼ (Type integers or decimals. Do not round.) The claim is the hypothesis. (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are to (Use a comma to separate answers as needed. Round to two decimal places as needed.). Choose the graph which shows the rejection region О А. 15-6.176 4 -ho to Q Q (c) Find the standardized test statistic, t The standardized test statistic is t- (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Ho because the…
The next five questions refer to the following scenario: • sample mean T = 10 • sample size n = 100 • population standard deviation O = 4
Also this after the 2nd picture. (c) By hand, make a histogram and using this histogram select the correct description of the age at which women have their first child. The distribution is: (d) In which age classes do the median and quartiles fall in the ordered list of all maternal ages? Median falls within: Q1 falls within: Q3 falls within:
For a given frequency distribution data table, x= 6, Exf =1200 and Ef = 25 then the sample standard deviation equals: Select one: a. 11.5 b. 2.65 с. 3.54 d. 10.5
J11.
What technique compares dispersion with the average of data? Select one: a. Standard deviation b. Process capability c. Variance d. Coefficient of variation
touch ".llE 55% D14:52 Question Measurements for the length and width of a rectangular plastic covers for CDs are Tounded to the nearest mm (so they are discrete). Let X denote the length and Y dente the width. The possible values of X are 129, 130, and 131 mm. The possible values of Y are 15 and 16 mm. The joint distribution is given by the following table X-length 129 130 131 Y=width 15 0.12 0.42 006 16 0.08 0.28 0.04 The probability that a CD cover has width of 16 mm knowing that it has a length of 131 mm is O 0.13 O 0.2 O 0.4 O 0.08
An article reported on a long-term study of the effects of hurricanes on tropical streams of a forest. The study shows that a hurricane had a significant impact on stream water chemistry. The following shows a sample of 10 ammonia fluxes in the first year after the hurricane. Data are in kilograms per hectare per year. Complete parts (a) through (c) below. 99 85 147 147 177 116 57 57 89 156 D a. Find the mean. The mean is. (Type an integer or decimal rounded to one decimal place as needed.) b. Find the median. The median is (Type an integer or decimal rounded to one decimal place as needed.) c. Find the mode(s). Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The mode(s) is(are) (Use a comma o separate answers as needed.) O B. There is no mode.
Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places. Step 3 of 3: Draw a conclusion and interpret the decision.
Just need #4 In 1905 R Pearl published the article “Biometrical Studies on Man. I. Variation and Correlation in Brain Weight”. According to the study, brain weights of Swedish men are normally distributed with a mean of 1.4 kg and a standard deviation of 0.11 kg. Determine the sampling distribution of the sample mean for samples of size 3. Repeat part (a) for samples of size 12. That is, for parts (a) and (b) discuss the distribution, mean and standard deviation of the sample means for the different sample sizes. Use Excel to construct graphs similar to those shown in Fig 7.4 on page 321 in the textbook. Hand in your excel output and show the data you used to construct the plots, as well as the plots Do you need to assume that brain weights of Swedish men are normally distributed to answer parts (a) and (b)? Explain your answer

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