MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Suppose that a middle school is using two different teaching formats for their 6th grade math classes: In-Person and Online. At the end of the school year the 6th grade students are given a test where their math skills are scored as Excellent, Proficient, Needs Improvement, or At-Risk. The middle school collects the following data: Excellent Proficient Needs Improvement At-Risk (a) What was the sample size in this study? In Person 39 75 59 18 Online 11 51 6 15 (b) What percentage of the sample were students that took an In-Person class AND scored Excellent on their test? (c) What percentage of the sample were students that took an Online class OR scored Needs Improvement on their test? (d) Construct the conditional distribution based on teaching format. Which teaching format had the HIGHEST rate of At Risk scores? What was that rate? (f) Use the conditional distribution to give a one or two sentence argument for why In-Person classes seem to be the more successful teaching format. (g)…arrow_forwardConduct a statistical test at a significance level of 0.05 to determine if there is an association between gender and movie preference. The chart of observed counts has been re-copied here for convenience. Action Drama Animated Total Comedy 20 Male 52 32 16 120 Female 24 32 16 8 80 Total 76 64 36 24 200 Answer in the blanks to show the work associated with exploring this claim. Blank #1: The statistical test to determine whether there is an association between two categorical variables is the Loverall relationship test. Blank #2: Compute the expected count of Females who prefer comedy. Report your answer with one decimal place. The test was conducted and the following test statistic and p-value calculated as shown in the calculator screenshot. Fill in the remaining blanks to show the test in its entirety. X2-Test X2=5.653021442 P=.1297673797 df=3arrow_forwardSee question details in picarrow_forward
- Pages were randomly selected from The Bear and the Dragon by Tom Clancy, Harry Potter and the Sorcerer's Stone by J.K. Rowling, and War and Peace by Leo Tolstoy. The Flesch Reading Ease scores for those pages are listed below. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Clancy 58.2 73.4 73.1 64.4 72.7 89.2 43.9 76.3 76.4 78.9 69.4 72.9 Rowling 85.3 84.3 79.5 82.5 80.2 84.6 79.2 70.9 78.6 86.2 74.0 83.7 Tolstoy 69.4 64.2 71.4 71.6 68.5 51.9 72.2 74.4 52.8 58.4 65.4 73.6 Part (c) Determine whether to reject or fail to reject the null hypothesis. O Reject the null hypothesis O Fail to reject the null hypothesisarrow_forward3arrow_forwardA study was conducted to determine the proportion of people who dream in black and white instead of color. Among 297 people over the age of 55, 75 dream in black and white, and among 310 people under the age of 25, 19 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Identify the test statistic. z= 6.51 (Round to two decimal places as needed.) Identify the P-value. P-value = 3.770o (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is greater than the significance level of a = 0.05, so fail to reject the null hypothesis. There is insufficient evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. b. Test the claim by constructing an appropriate confidence…arrow_forward
- Urgent help needed please!arrow_forwardDifference tests are conducted to determine: A. the representative value in a given set of scores. B. whether two or more groups differ on an outcome. C. if the assumptions of a statistical procedure have been met. D. whether two variables correlate with each other.arrow_forwardIn the US, 46.2% of all people have type O blood, 39.1% have type A blood, 10.4% have type B blood and 4.3% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires. The table below shows the results of a random sample of 3116 millionaires. What can be concluded at the a = 0.01 significance level? a. Complete the table by filling in the expected frequencies. Round to the nearest vwhole number: Frequencies of Blood Type Outcome Frequency Expected Frequency 1434 A 1224 В 310 АВ 148 b. What is the correct statistical test to use? Select an answer V c. What are the null and alternative hypotheses? Ho: Blood type and income are independent. O The distribution of blood type for millionaires is not the same as it is for Americans in general. O The distribution of blood type for millionaires is the same as it is for Americans in general. O Blood type and income are dependent.arrow_forward
- The Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.arrow_forwardA study was conducted to determine the proportion of people who dream in black and white instead of color. Among 303 people over the age of 55, 79 dream in black and white, and among 300 people under the age of 25, 18 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P₁ = P₂ H₁: P₁ P2 O D. Ho: P₁ #P₂ H₁: P₁ = P2 Identify the test statistic. z=0 Z= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? the significance level of a = 0.01, so…arrow_forwardPages were randomly selected from The Bear and the Dragon by Tom Clancy, Harry Potter and the Sorcerer's Stone by J.K. Rowling, and War and Peace by Leo Tolstoy. The Flesch Reading Ease scores for those pages are listed below. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Clancy 58.2 73.4 73.1 64.4 72.7 89.2 43.9 76.3 76.4 78.9 69.4 72.9 Rowling 85.3 84.3 79.5 82.5 80.2 84.6 79.2 70.9 78.6 86.2 74.0 83.7 Part (B) Identify the test statistic and the P-value The test statistic F= The P-value is notation.) Tolstoy 69.4 64.2 71.4 71.6 68.5 51.9 72.2 74.4 52.8 58.4 65.4 73.6 (Round to four decimal places.) (Round to six decimal places. Do not use scientificarrow_forward
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