In 1986, the US Space Shuttle Challenger tragically exploded in flight.This accident was caused by the catastrophic failure of rubber 'O-ring'seals that linked segments of the rocket boosters together. There weresix O-ring seals in Challenger (and all other Space Shuttles at the time).Table 1 shows the numbers of O-ring seal failures that had occurred oneach of 23 previous Space Shuttle flights.Table 1 Number of O-ring seal failuresNumber of failed O-rings2 34Number of flights165200 0 0(ii) A reasonable estimate of p is 3/46 0.065. Explain where thisnumber comes from.

Given datain 1986 the U.S space shuttle challenger tragically exploded in flight.This accident was…

Answered: In 1986, the US Space Shuttle…

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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Major League Baseball (MLB) consists of teams that play in the American League and the National League. MLB collects a wide variety of team and player statistics. Some of the statistics often used to evaluate pitching performance are as follows: • ERA: The average number of earned runs given up by the pitcher per nine innings. An earned run is any run that the opponent scores off a particular pitcher except for runs scored as a result of errors. • SO/IP: The average number of strikeouts per inning pitched. • HR/IP: The average number of home runs per inning pitched. • R/IP: The number of runs given up per inning pitched. The following data show values for these statistics for a random sample of 20 pitchers from the American League for one full season. Player Тeam W ERA SO/IP HR/IP R/IP Verlander, J DET 24 2.40 1.00 0.09 0.29 Beckett, J BOS 13 7 2.88 0.92 0.12 0.35 Wilson, C TEX 16 7 2.93 0.93 0.08 0.40 Sabathia, C ΝY 19 8. 3.01 0.97 0.06 0.36 Haren, D LAA 16 10 3.16 0.80 0.08 0.37…
A researcher wonders if there an association between the incidence of colds and the amount of vitamin C taken. He recruits 98 volunteers and randomly assigns 29 of them to take 500 mg of vitamin C, 17 of them to take 1000 mg of vitamin C and the rest to take no vitamin C. At the end of the study, it was determined that 28 of the volunteers did not have any colds where 12 of them were in the 500 mg group and 8 of them were in the 1000 mg group. Test the appropriate hypothesis at α=.01 Complete the table of expected counts under the null hypothesis. At least one cold No colds No vitamin C 14.857 500 mg vitamin C 20.714 1000 mg vitamin C 12.143 4.857
Suppose the doctors at a local office take a health survey of 100 adult female patients with similar weight who have had appointments in the last week. According to their medical file, the 100 participants all weigh between 140 – 149 lbs. One of the survey questions asks participants to list their current weight. The accompanying tables show the relative frequency of weights measured by the physician for the 100 participants and the relative frequency of weights recorded in the survey for the 100 participants. Note that some of the weights reported in the survey did not fall between 140 – 149 lbs. Weights reported by physician (to the nearest pound) Weights recorded by participants Weight (in pounds) Relative frequency Weight (in pounds) Relative frequency 140 0.12 140 0.32 141 0.09 141 0.04 142 0.17 142 0.05 143 0.06 143 0.04 144 0.14 144 0.07 145 0.11 145 0.23 146 0.04 146 0.01 147 0.10 147 0.01 148 0.09 148 0.03 149 0.08 149 0.02 Total 1.00 Total 0.82 Select the statements that are…
In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 320 trials, the touch therapists were correct 152 times. Complete parts (a) through (). a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses? |Type an integer or a decimal. Do not round.) b. Using Emily's sample results, what is the best point estimate of the therapists' success rate? |(Round to three decimal places as needed.) c. Using Emily's sample results, construct a 90% confidence interval estimate of the proportion of correct responses made by touch therapists. | Ce esc back…
A research wants to determine if pre-natal exposure to the hormones in birth control pills alters the sex makeup of midshipman fish populations (which are typically half male and half female).Specifically, the researcher wishes to test the hypothesis that exposure to hormones will increase the number of females in the population.The researcher exposes a group of pregnant midshipman fish to birth control hormones and records the sex of the first 9 offspring birthed.They then observe that 7 are female.Use a sign test to test the indicated hypothesis.What is the value of "significance"
2. In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 300 trials, the touch therapists were correct 135 times. Complete parts (a) through (d) a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses? b. Using Emily's sample results, what is the best point estimate of the therapist's success rate? c. Using Emily's sample results, construct a 99% confidence interval estimate of the proportion of correct responses made by touch therapists. d. What do this result suggest about the ability of touch therapists to select the correct hand by seeing…
A researcher wonders if there an association between the incidence of colds and the amount of Vitamin C taken. He recruits 93 volunteers and randomly assigns 26 of them to take 500 mg of Vitamin C, 18 of them to take 1000 mg of Vitamin C and the rest to take no Vitamin C. At the end of the study, it was determined that 30 of the volunteers did not have any colds where 15 of them were in the 500 mg group, 11 of them were in the 1000 mg group, and the rest took no Vitamin C. Test the appropriate hypothesis at a = 0.01. Round your answers to three decimal places, if necessary. Fill in the hypotheses below: Ho: There is not vitamin C taken. Ha: There is vitamin C taken. Complete the table of expected counts under the null hypothesis: No Vitamin C 500mg Vitamin C 1000mg Vitamin C No Vitamin C 500mg Vitamin C 1000mg Vitamin C At least one cold 33.194 an association between the incidence of colds and the amount of an association between the incidence of colds and the amount of 17.613 12.194…
A research wants to determine if pre-natal exposure to the hormones in birth control pills alters the sex makeup of midshipman fish populations (which are typically half male and half female).Specifically, the researcher wishes to test the hypothesis that exposure to hormones will increase the number of females in the population.The researcher exposes a group of pregnant midshipman fish to birth control hormones and records the sex of the first 11 offspring birthed.They then observe that 1 are female.Use a sign test and a alpha of .05 to test the indicated hypothesis.What is the critical value?
excerpt from “Shoes: Feet First!”from A History of Travel in 50 Vehiclesby Paula Grey & Phillip Hoose Despite the relatively recent age of the early shoes found to date, scientists believe that humans were wearing shoes as much as 40,000 years ago. Shoes made of reeds, papyrus, or even leather decompose easily, leaving few or no traces. But people who don’t wear shoes have wider feet and bigger gaps between their big toe and the other four. In studying bones of the smaller toes of fossilized skeletons, scientists observed that the thickness of these bones decreased somewhere between 40,000 and 26,000 years ago. They believe the change was the result of wearing shoes. 1 Select the correct answer. Read this sentence again. In studying bones of the smaller toes of fossilized skeletons, scientists observed that the thickness of these bones decreased somewhere between 40,000 and 26,000 years ago. How does the sentence develop the author’s claim in the passage?…
The National Safety Board wants to determine the effect of seat belt use on saving lives. One study showed data on children under the age of 5 who were involved in car accidents in which at least one fatality occurred. Below is the table: X1 Survivors (0) Fatalities (1) Total No belt (0) Adult belt (1) Child seat (2) 1129 509 1638 X2 432 73 505 733 139 872 Total 2294 721 3015 Answer in 2 decimal places. a) Determine the probability that a child will be in a child seat. b) Determine the probability that X1 = 0 given X2 = 0 c) What is the probability of X1 = 1 given X2 = 0?
Amorphophallus johnsonii is a plant called the "corpse flower" that grows in West Africa. Its flowers produce a pungent smell described as "a powerful aroma of rotting fish and faeces". It does so to attract its pollinator, the carrion beetle (Phaeochrous amplus) which live in rotting meat. Beath (1996) observed corpse flowers (hopefully wearing masks) and counted the number of beetles that arrived at each flower over the course of one night. The data is presented below: 51, 45, 61, 76, 11, 117, 7, 132, 52, 149 the mean of this sample is 70.1 beetles the standard deviation of this sample is 48.5 beetles Use the standard deviation of the sample to approximate the standard error of the mean. 1) What is the approximate SE that you calculated? Use the SE approximation method for normal sampling distributions to calculate Confidence Intervals 2) What are the 95% Confidence Intervals for this sample mean? 3) What are the 99% Confidence Intervals for this sample mean? 4) If an expanded…
The 2019-2020 flu season was especially tough. By the end of the season, an estimated total of 49 million people in the United States had contracted the flu, of whom an estimated 79,000 died from the flu. Assume that the US population was 300,000,000 during the 2019-2020 flu season and that during the season, a total of 2.9 million Americans died from all causes (including the flu). Assume the population of the US remained the same at the midpoint of the season. Report mortality rates per 100,000. Be sure to express the measure in the correct format. a.What was the proportionate mortality rate from flu during the 2019-2020 flu season? b.What was the case fatality rate from flue during the 2019-2020 flu season?

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