(a) A new car model has a design fault, as a result of which 10% of production cars have aparticular ignition problem. Engineers have come up with a modification which they hope willend the difficulty, and a pilot run of 30 cars is manufactured using the modified design. Stateand briefly justify a distribution you might consider using to model the number of cars X in thispilot run with the ignition problem.(b) Suppose that the modification has no effect on the problem. Using your model, findPr(X=0) and Pr(X= 1). If in fact no cars have the problem, would the manufacturer bejustified in concluding that the change has definitely improved the situation?(c) Suppose now that the problem occurs in only 1% of cars manufactured in the modifiedway. Estimate the probability that in the first 500 cars there are no more than two still with theproblem.(d) Later, the manufacturer claims that as a result of the modification the problem occurs inonly 0.5% of cars. An independent survey of 500 cars finds that 6 have the problem. Is themanufacturer's claim reasonable?

Let X denotes the number of cars having the ignition problem. Let p denotes the probability that a…

Answered: (a) A new car model has a design fault,…

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 may need to use the appropriate technology to answer this question. The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains.† One of the variables in the study is meal price, the average amount paid per person for dinner and drinks, minus the tip. Suppose a reporter for a local newspaper thought that it would be of interest to her readers to conduct a similar study for restaurants located in her city. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The following data show the meal prices ($) obtained for the 24 restaurants sampled. Italian Seafood Steakhouse $13 $15 $24 14 19 18 16 18 22 17 25 24 17 22 21 19 16 23 16 18 26 32 11 34 Use ? = 0.05 to test whether there is a significant difference among the mean meal price for the three types of restaurants. State the null and alternative hypotheses. H0: ?Italian = ?Seafood = ?SteakhouseHa:…
A restaurant manager is planning a new layout for the tables in his store. He will be placing tables of 2, tables of 4, and tables of 6 throughout the dining room. To help him decide how many of each he needs, he decides to keep track of all table requests by customers during a 2-week period. Which measure of central tendency would BEST indicate the typical table size needed?
Which of the following can increase effect size? Select one: O a. increase the distance between means and increase the sample size O b. decrease the variability and increase the distance between means O c. decrease the variability and increase the sample size
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To determine whether caffeine consumption affects the ability to solve math problems, a researcher had one group solve math problems after taking a cup of caffeinated drink and another group solve math problems after taking a cup of water. The group who took the caffeinated drink completed 35 problems in one hour and the group that had water completed 20 problems in one hour. Assuming the number of problems solved is normally distributed in each group, what statistical test would be used to test the research hypothesis? Explain your answer.
Below you will find a research scenarios. Your task is to identify the proposed analysis and why you chose that analysis for each of these scenarios. State the research question that aligns with the scenario and the analysis. Next run the appropriate analyses and report your findings in APA Research scenario 2: Historians are interested in the accuracy of eyewitness accounts of traumatic events. One study examined survivors' recall of the sinking of the ship Titanic (Riniolo, Koledin, Drakulic, & Payne, 2003). The researchers reviewed the transcripts of survivors' testimony at governmental hearings (www.titanicinquiry.org) to see whether they testified that the ship was intact or breaking apart during the ship's final plunge (it was in fact breaking apart). To test for eyewitness accuracy, testimony of 20 survivors was examined to see if there was an equal likelihood of survivors saying the ship was intact or breaking apart. Datafile: titanic.xlsx Your response should contain…
1. The data in Table 7–6 were collected in a clinical trial to evaluate a new compound designed to improve wound healing in trauma patients. The new compound was com- pared against a placebo. After treatment for 5 days with the new compound or placebo, the extent of wound healing was measured. Is there a difference in the extent of wound healing between the treatments? (Hint: Are treatment and the percent wound healing independent?) Run the appropriate test at a 5% level of significance. Use the data in Problem 1. Pool the data across the treatments into one sample of size n = 250. Use the pooled data to test whether the distribution of the percent wound healing is approximately normal. Specifically, use the following distribution 30%, 40%, 20%, and 10% and a = 0.05 to run the appropriate test. Percent Wound Healing Treatment 0-25% 26-50% 51-75% 76-100% New compound (n=125) 15 37 32 41 Placebo (n=125) 36 45 34 10
Historically it has been observed that patients admitted to a certain hospital for treatment of influenza spend a MEAN length of 4.4 days in the hospital. Every flu season, different strains of the flu circulate: Some years the primary strain causes more severe illness (and presumably longer than average hospital stays) and other years less so (meaning presumably shorter than average stays). We assume the hospital stays are NORMALLY distributed. a. A hospital wants to see how this year's flu season compares to previous years. Therefore, state the null and alternate hypotheses that would be used to test whether the hospital is seeing a mean hospital stay that is significantly DIFFERENT than the historical mean of 4.4 days. b. FIFTEEN patients admitted for influenza treatment are then randomly sampled and the length of their hospital stay in days is given below. 4641056443743774 SAMPLE MEAN =? SAMPLE STANDARD DEVIATION =? c. Using the results of part (b), determine what type of test is…
Use the following scenario to answer the next 6 questions: M&Ms are your favorite vending machine snack and you purchase them often. Lately, it seems like the bags have been having a disproportionate distribution of the colors. The company claims that 24% of the candies per bag should be blue. You decide to test this claim for yourself. You purchase a large bag and find that 38 of the 224 candies are blue. Before complaining to the company, you want to be fairly sure of your accusation, so you set a 1% significance level for your test. Do you have sufficient evidence that the color distribution is different than advertised? In this scenario, the decision to use a two-tailed versus a one-tailed test affected our ability to reject the null (and thus our conclusion). Group of answer choices True False
Use the following scenario to answer the next 6 questions: M&Ms are your favorite vending machine snack and you purchase them often. Lately, it seems like the bags have been having a disproportionate distribution of the colors. The company claims that 24% of the candies per bag should be blue. You decide to test this claim for yourself. You purchase a large bag and find that 38 of the 224 candies are blue. Before complaining to the company, you want to be fairly sure of your accusation, so you set a 1% significance level for your test. Do you have sufficient evidence that the color distribution is different than advertised? Based on the data, the value of the test statistic is:
To determine whether caffeine consumption affects the ability to solve math problems, a researcher had one group solve math problems after taking a cup of caffeinated drink and another group solves math problems after taking a cup of water. The group who took the caffeinated drink completed 35 problems in one hour and the group that had water completed 20 problems in one hour. Assuming the number of problems solved is normally distributed in each group, what statistical test would be used to test the research hypothesis? Explain your answer.
can you do step 4 without using excel? I have to use a formula to find p value on a test on wednesday.

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