### Analysis of Star Trek Uniform Colors and Crew-Member FatalitiesThe color of the Star Trek uniform represents each crew-member's work area. In the original Star Trek series, blue shirts are worn by medical and science staff, gold shirts are worn by the command division, and the red shirts were worn by engineering, security, and communications division. We will statistically assess whether there is a connection between uniform color and the fatality rate. The table below shows a sample of how many crew-members in each area have died onscreen and their shirt color. Use α = 0.05 to test if a crew-member's fatality onscreen is dependent on their uniform color.| Shirt Color | Alive | Dead | Total ||-------------|-------|------|-------|| Blue | 39 | 8 | 47 || Gold | 21 | 9 | 30 || Red | 28 | 27 | 55 || **Total** | **88**| **44**| **132**|### Key Insights:1. **Blue Shirts**: - Alive: 39 - Dead: 8 - Total: 47 2. **Gold Shirts**: - Alive: 21 - Dead: 9 - Total: 30 3. **Red Shirts**: - Alive: 28 - Dead: 27 - Total: 554. **Overall**: - Alive: 88 - Dead: 44 - Total: 132 ### Statistical Analysis:To determine if a crew-member's fatality onscreen is dependent on their uniform color, we need to conduct a chi-square test of independence with a significance level of α = 0.05. This test will help ascertain whether there is a significant relationship between the variables (uniform color and fatality rate).The data suggests that the red shirts have a noticeably higher fatality rate compared to blue and gold shirts. However, a formal statistical analysis is essential to confirm if this observed difference is statistically significant. ---### Chi-Square Test for Independence#### Contingency Table| | Alive | Dead ||---------|-------|------|| Blue | | || Gold | | || Red | | |#### Instructions1. **Compute the Value of the Test Statistic:** - Calculate the chi-square (χ²) value to 4 decimal places. \[ \chi² = \_\_\_\_ \]2. **Compute the p-value:** - Determine the p-value corresponding to the computed chi-square value. Round your answer to 4 decimal places. \[ p\text{-value} = \_\_\_\_ \]---

Alive Dead TotalBlue39847Gold21930Red282755Total 8844132We have to test hypothesis for the claim…

Answered: The color of the Star Trek uniform…

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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QUESTION 2 Researchers conducted two surveys about teens are their use of social media. The first survey asked a random sample of 800 U.S. teens about their use of Instagram. A second survey asked the same questions to a random sample of 2253 Canadian teens. In these two studies, 73% of U.S. teens and 88% of Canadian teens said that they use Instagram. Use these results to answer the following questions about the proportion of U.S. and Canadian teens that use Instagram. (Round to the nearest whole hundredth as needed). What is the difference between the proportion of U.S. teens and the proportion of Canadian teens? The standard error for these two samples is and the upper limit is Using a 99% confidence level, the lower limit is
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Salaries for administrative assistants range from $32,000 per year to $67,000 per year. Salaries for executive chefs range from $58,000 per year to $110,000 per year. Which of these two professions has the largest amount of variation? If the variability is high, what does this mean in terms of getting a salary on the higher end of the range?
A randomly sampled group of patients at a major U.S. regional hospital became part of a nutrition study on dietary habits. Part of the study consisted of a 50-question survey asking about types of foods consumed. Each question was scored on a scale from one (most unhealthy behavior) to five (most healthy behavior). The answers were summed and averaged. The population of interest is the patients at the regional hospital. The current survey was implemented after patients were subjected to this education, and it produced the following sample statistics for 25 patients sampled: and s = 1.02. We would like to know if the education improved nutrition behavior. We test the hypotheses H 0: = 2.9 versus Ha: > 2.9. The value of the t test is 1.96, and: a. P-value > 0.1. b. 0.025 P-value < 0.05. c. 0.25 P-value < 0.01. d. 0.05 P-value < 0.1. Given the least squares regression line y = 3 x – 3, which of the following is true? a. The…
The success of an airline depends heavily on its ability to provide a pleasant customer experience. One dimension of customer service on which airines compete is on-time arrival. The file LateFlights contains a sample of data from delayed fights showing the number of minutes each delayed fight was late for two different airlines, Deita and Southwest. Click on the datafile logo to reference the data. DATA file Delta Southwest Delta Southwest Delta Southwest Delta Southwest Delta 36 30 34 38 119 120 63 37 35 67 114 53 102 55 8 87 68 100 43 50 86 74 17 66 87 35 40 34 64 41 53 30 86 33 57 61 7. 46 52 26 70 62 75 54 80 a. Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. H1= population mean minutes late for delayed Deita flights Ha= population mean minutes late for delayed Southwest flights Ho: H- 2 Select your answer H.: -a -Select your answer b. What is the sample mean number of minutes…
The source depicts the results of a fictional study investigating whether the number of hours of sleep a person gets varies with his or her gender(male,female) and with the number of energy drinks that he or she consumes in a day. Equal numbers of men and women were randomly assigned to drink either 0, 1, or 2 energy drinks during the course of a day and then record the number of hours they slept that night. Table: Coffee and Sleep Source SS df MS F Gender 0.250 1 0.250 0.283 Energy Drinks 81.556 2 40.778 46.180 Gender X Drinks 2.667 2 1.330 1.510 Within…
A sensory Psychologist wants to test if age affects a person's ability to detect changes in color presented on a computer screen. She recruits 3 different age groups (young, mid aged, elderly) to test. She also wants to know if bilingual people are different in their ability to detect color changes relative to non bilingual people, so half of the 60 participants are bilingual, the other not bilingual. Complete the source table below for her results. Complete the source table below and answer the question that follows the table also Source SS df MS Fcalculated P_.05 Fcritical Between 360 5 FactorAge FactorBilingual 220 Interaction 95 Within 1825 54 Total Was there a significant effect of age?
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The price drivers pay for gasoline often varies a great deal across regions throughout the United States. The following data show the price per gallon for regular gasoline for a random sample of gasoline service stations for three major brands of gasoline (Shell, BP, and Marathon) located in eleven metropolitan areas across the upper Midwest region (OhioGasPrices.com website, March 18, 2012). Click on the datafile logo to reference the data. DATA file Shell BP Metropolitan Area Marathon Akron, Ohio Cincinnati, Ohio Cleveland, Ohio Columbus, Ohio Ft. Wayne, Indiana Indianapolis, Indiana Lansing, Michigan Lexington, Kentucky Louisville, Kentucky Muncie, Indiana Toledo, Ohio 3.77 3.72 3.87 3.76 3.78 3.87 3.89 3.79 3.83 3.83 3.85 3.77 3.83 3.85 3.93 3.84 3.84 4.04 3.87 3.87 3.99 3.79 3.78 3.81 3.69 3.78 3.84 3.84 3.83 3.79 3.79 3.86 3.86 Use a = .05 to test for any significant difference in the mean price of gasoline for the three brands. Round SS to 6 decimals, MS to 6 decimals, F to 2…
The Bureau of Transportation reports on-time performance for airlines at major airports. JetBlue, United, and US Airways share Terminal C and Boston's Logan Airport. The percentage of on-time flights reported for a sample month were 76.8% for JetBlue, 71.5% for United, and 82.2% for US Airways. Assume that 30% of the arriving flights at this terminal are JetBlue flights, 32% are United flights, and 38% are US Airways flights. a. Develop a contingency table (table of joint probabilities and marginal probabilities). b. An announcement is made that Flight 1382 will arrive at Terminal C. What is the probability that the flight will arrive on time? c. Flight 1382 arrives on time. What is the probability that Flight 1382 is operated by US Airways? d. Flight 1382 will not arrive on time. What is the probability that Flight 1382 is operated by United?
The relative effectiveness of two different sales techniques was tested on 12 volunteer housewives. Each housewife was exposed to each sales technique and asked to buy a certain product, the same product in all cases. At the end of each exposure, each housewife rated the technique with a 1 if she felt she would have agreed to buy the product and a 0 if she probably would not have bought the product. Tech 1 2 3 4 1 1 1 2 0 1 1 1 1 0 5 6 7 8 9 10 1 Housewife 0 0 0 0 0 Test Ho: P₁=p₂ versus H₂: P₁ P₂ Use large sample approximations and compare results. 0 0 1 1 1 0 11 12 01 0 1 a) Use Cochran's test b) Rearrange the data and use McNemar's test c) use Fischer exact test d)Ignore the blocking effect in this experiment and treat the data as if 24 difference housewives were used.
A campus researcher wanted to investigate the factors that affect visitor travel time in a complex, multilevel building on campus. Specifically, he wanted to determine whether different building signs (building maps versus wall signage) affect the total amount of time visitors require to reach their destination and whether that time depends on whether the starting location is inside or outside the building. Three subjects were assigned to each of the combinations of signs and starting locations, and travel time in seconds from beginning to destination was recorded. How should the data be analyzed? Wall Signs Map Starting Room Interior 141, 119, 238 85, 94, 126 Randomized block design O Completely randomized design 2 x 2 factorial design Levene's test Exterior 224, 339, 139 226, 129, 130

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