A random sample of 50 suspension helmets used by motorcycle riders and automobile race-car drivers was subjected to an impacttest, and on 19 of these helmets some damage was observed.(a) Find a 95% two-sided Cl on the true proportion of helmets of this type that would show damage from this test.Use z-scores with two decimal places.Round the answers to 4 decimal places.CI:(e Textbook and Media(b) Using the point estimate of p obtained from the preliminary sample of 50 helmets, how many helmets must be tested to be95% confident that the error in estimating the true value of pis less than 0.03?n= i (b) Using the point estimate of p obtained from the preliminary sample of 50 helmets, how many helmets must be tested to be95% confident that the error in estimating the true value of pis less than 0.03?n-eTextbook and Media(c) How large must the sample be if we wish to be at least 95% confident that the error in estimating p is less than 0.03. regardlessof the true value of p?n-i

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Answered: A random sample of 50 suspension…

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 recently had a cholesterol panel completed and see that the results for your High Density Lipoprotien (HDL) level comes back with z = -1.7 among people of your stature. Your doctor is going to review the results with you but based on what you know about z-scores you can infer: a.The average person of your stature is 1.7 deviations below you. b.Your HDL level is slightly below average. c.The score is negative so this will be good news. d.Your HDL level is extremely low for a person of your stature.
A researcher found that the two groups (n=25 in each group) they tested were significantly different from each other with a t-value of 2.91, which has a corresponding p-value of p=.06. For this study, report the statistics in APA format.
In a Yes/No population, 37% are Yeses. For a specific sample of size n = 43, we have P-bar = 0.48. Find the Z-score for the P-bar value.
A standardized math test of fifth grade students produces a mean ?μ = 100 with a ?σ = 18. A sample of n = 36 students participated in "boost" training for their math skills. The sample M = 104 with S = 24. Did this "boost" training significantly improve students' math performance? Use ?α = .01.
You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.46. Your sample data produce the test statistic z=1.883. Find the p-value accurate to 4 decimal places.
For a special pre–New Year’s Eve show, a radio station personality has invited a small panel of prominent local citizens to help demonstrate to listeners the adverse effect of alcohol on reaction time. The reaction times (in seconds) before and after consuming four drinks are in data below. At the 0.005 level, has the program host made his point? Identify and interpret the p-value for the test. Data: Subject Before After 1 0.32 0.39 2 0.39 0.44 3 0.36 0.49 4 0.41 0.53 5 0.37 0.46 6 0.42 0.52 7 0.41 0.52 8 0.43 0.46 9 0.39 0.55 10 0.41 0.52 11 0.35 0.45 12 0.42 0.41 13 0.32 0.54 14 0.39 0.46 15 0.41 0.53 16 0.33 0.54 17 0.43 0.46 18 0.42 0.43 19 0.41 0.52 20 0.35 0.52 21 0.39 0.41 22 0.39 0.44 23 0.32 0.50 24 0.33 0.53 25 0.31 0.45 26 0.35 0.45 27 0.31 0.45 28 0.32 0.48 29 0.38 0.54 30 0.37 0.46 31 0.39 0.49 32 0.30 0.51 33 0.40 0.49 34 0.41 0.50 35 0.41 0.53 36 0.35 0.47 37 0.37 0.51 38 0.41 0.46
he data on the number of chocolate chips per bag for 42 bags of Chips Ahoy! cookies were obtained by the students in an introductory statistics class at the United States Air Force Academy in response to the Chips Ahoy! 1,000 Chips Challenge sponsored by Nabisco, the makers of Chips Ahoy! Use the data collected by the students to answer the following questions and to conduct the analyses required in each part. They found ¯xx¯ = 1261.6 and s = 117.6 a. Determine a 95% confidence interval for the mean number of chips per bag for all bags of Chips Ahoy! cookies. ≤μ≤≤μ≤ b. Interpret your result in words. c. Can you conclude that the average bag of Chips Ahoy! Cookies contain at least 1000 chocolate chips? yes no
Ride services are on the rise, such as Uber and Lyft. You wondered if the recent news reports of crime occurring with these ride services impacted the usage of them, especially with women. You decide to conduct a survey about ride service usage among male and female college students. The results showed that 19 males use ride services and 11 do not. While 12 females use ride services and 18 do not. Calculate the chi-square statistic:
f.
In a test of H0: p = 0.40 against Ha: p # 0.40, the sample data yield the test statistics z = 1.78. Find the p-value for this test. Round your answer to 4 decimal places.
Suppose the National Transportation Safety Board wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Test the claim that the mean pressure applied to the driver's head during a crash is equal for all three types of cars. Use a = 0.05 Compact Cars 643 Midsize Cars 469 Full-size Cars 484 655 m 427 456 20 Apple 702 525 A 402 Show your 6 steps labeled in order in the box below using the p-value method.
You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly different from 0.74. Your sample data produce the test statistic z=2.133. Find the p-value accurate to 4 decimal places.

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