**Dataset Analysis of Tornado Lengths**A dataset includes information from 400 random tornadoes. The technological display available uses tornado lengths (in miles) to test the claim that the mean tornado length is greater than 2.3 miles. The significance level used is 0.05. The task is to identify the null and alternative hypotheses, the test statistic, the P-value, and to state the final conclusion regarding the original claim.**Null and Alternative Hypotheses:**- **Option A** (Chosen): - Null Hypothesis (\(H_0\)): \(\mu = 2.3\) miles - Alternative Hypothesis (\(H_1\)): \(\mu > 2.3\) miles**Test Statistic Identification:**Ensure to round the test statistic to two decimal places as needed.**Technological Display Details:**- **Hypothesis Test Results:** - **Mean of Variable:** - Null Hypothesis (\(H_0\)): \(\mu = 2.3\) - Alternative Hypothesis (\(H_1\)): \(\mu > 2.3\) **Detailed Table:** - **Variable:** Length - **Sample Mean:** 2.8734 - **Standard Error (Std. Err.):** 0.224486 - **Degrees of Freedom (DF):** 399 - **Test Statistic (T-Stat):** 2.554425 - **P-value:** 0.0056The display shows the test results with key statistics that support the analysis of the tornado length claim. A data set includes data from 400 random tornadoes. The display from technology available below results from using the tornado lengths to test the claim. State the final conclusion that addresses the original claim.- Click the icon to view the display from technology.**What are the null and alternative hypotheses?**- Option A: - \( H_0: \mu = 2.3 \) miles - \( H_1: \mu \neq 2.3 \) miles- Option C: - \( H_0: \mu < 2.3 \) miles - \( H_1: \mu = 2.3 \) miles**Identify the test statistic.**- [ ] (Round to two decimal places as needed.)**Identify the P-value.**- [ ] (Round to three decimal places as needed.)**State the final conclusion that addresses the original claim.**- [Dropdown 1] \( H_0 \). There is [Dropdown 2] evidence to support the claim that the mean tornado length is greater than 2.3 miles.

Given : Claim : The mean tornado length is greater than 2.3 miles.

Answered: A data set includes data from 400…

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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Please Answer d,e,f Please provide typed answer. ONLY TYPED ANSWERS
Please awnser following question pls 5. Give the definition of a test statistic and illustrate with an example.
Use the data in Chapter 13 Data Set 4 and answer the questions below. The Noodle Company wants to know what thickness of noodle consumers find most pleasing to their palate on a scale of 1-5, with 1 being most pleasing. What is the null hypothesis in symbols? What is the alternative hypothesis in symbols?
You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 33 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 = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 310 29 36 34 24 39 23 30 28 37 26 30 26 30 30 37 25 35
Each of the digits in a raffle is thought to have the same chance of occurrence. The table shows the frequency of each digit for consecutive drawings in a California lottery. Perform the chi-square test to see if you reject the hypothesis at the 0.05 significance level that the digits are from a uniform population. Digit Frequency Digit Frequency 0 43 5 46 1 41 6 39 2 45 7 40 3 41 8 39 4 47 9 29 Click here for the Excel Data File a. State the decision rule. Use 0.05 significance level. (Round your answer to 3 decimal places.) H0: The digits are uniformly distributed.H1: The digits are not uniformly distributed. b. Compute the value of chi-square. (Round your answer to 3 decimal places.)
Q.1 Dr. Star is interested in whether the physical coordination skills among low-income pre-school children are different from those of other children. She knows the population mean for the Pre- School Coordination Activity Test (PCAT) is 120 with o x= 10. She tests 80 preschoolers from low-income families and obtains an X= 122. a. Should Dr. Star do a one-tailed or a two-tailed test? Explain your answer. b. State the appropriate H o and H a , given your answer in part a. c. Use at a = 0.05. What is the value of zcrit ? d. Calculate z obt e. Using symbols, report your findings. f. What should Dr. Star conclude?
The mean score for Scrabble players at the neighborhood center is m = 215 points. The players read a book that claims it can raise scores significantly. After reading the book, a team of 25 players obtains a score of M = 218 points, with s= 25. Do the data indicate that reading the book leads to increases in the players’ scores? Test with a = .05 Calculate and evaluate Cohen’s d and r2. What decision can you make and what does it indicate? What type of error could you be making and what would that mean? Report your results with an APA-style phrase.
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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 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 = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 32 25 29 30 35 39 28 24 320 28 27 36 35 26 24 28 25 25 (a) Write the claim mathematically and identify Ho and Ha- Which of the following correctly states Ho and Ha? Ο Α. Hρ: μ2 31 О В. Но: и 31 O D. Ho: µ> 31 O E. Ho: H= 31 Hạ: u# 31 OF. Ho: µ= 31 H3: us31 Hại u< 31
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 = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed Ha μ#31 33 26 (b) Use technology to find the P-value. 25 30 28 38 33 36 H₂ μ31 EN 25 28 310 24
PLEASE answer all questions/Steps. A through E
When a group of subjects entered a room, researchers recorded both the color of shirt worn by thesubject, and whether or not the subject smiled. The results are recorded below. With 0.05significance, test the claim that color of shirt and smiling are independent. Use your calculator.Smiled No SmileGreen Shirt 15 10Blue Shirt 13 7Yellow Shirt 5 8

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