On a television show, eight contestants try to lose the highest percentage of weight in order to win a cash prize. As part of the show, the contestants are timed as they run an obstacle course. The table shows the times (in seconds) of thecontestants at the beginning of the season and at the end of the season. At a=0.01, is there enough evidence to support the claim that the contestants' times have changed? Assume the samples are random and dependent, and the populationis normally distributed. Complete parts (a) through (e) below.ContestantTime (beginning)Time (end)54127.8 139.2 116.5 108.4 107.5 142.5 106.9 123.7127.6 139.4 116.2 107.9 107.4 142.9 106.6 123.58(a) Identify the claim and state Ho and HWhat is the claim?O A. The contestants' times have not changed.O B. The contestants' times have decreased.O c. The contestants' times have increased.D. The contestants' times have changed.Let Ha be the hypothesized mean of the difference in the times (beginning - end). What are Ho and H,?O A. Ho: Ha zdO B. Ho: Hg s0OC. Ho: Hg 200> Prt :"HOF. Ho: He sdO D. Ho: Ha *0O E. Ho: Ha = 0

Answered: On a television show, eight contestants…

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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Researchers have been studying acorns produced by trees in a certain region. The acorns are used as a food source by various animals. The researchers have recorded the mass of a random sample of acorns (displayed below). Acorn mass (grams): 4.1, 4.22, 3.9, 3.79, 4.09, 4.1, 4.03, 4.02, 3.78, 3.74, 3.72 Checksum: 43.49 Resample the sample (bootstrap) (link to program) with 1000 iterations to create a 90% confidence interval for the mean mass of all acorns: Result: The researchers can be 90% confident that the mean mass of all acorns in this region is between and grams.
For each problem, you must state the hypotheses, calculate the test statistic, and explain your decision. The following table reports the relationship between class standing and political orientation for a random sample of 267 college students. a. The table is constructed assuming that class standing is the independent variable. Please add %s in the appropriate position (columns or rows) to describe the pattern of the relationship. b. Is there a statistically significant relationship between these variables?
Use the results from a survey of a simple random sample of 1108 adults. Among the 1108 respondents, 84% rated themselves as above average drivers. We want to test the claim that 3/4 of adults rate themselves as above average drivers. a. Identify the actual number of respondents who rated themselves as above average drivers.
At a recent home football game, the Falcons surveyed fans to name their favorite Falcons player. What type of data was collected? Bivariate and Quantitative Bivariate and Categorical Univariate and Quantitative Univariate and Categorical
Three students want to estimate the mean pencil weight of their schoolmates.To do this, they each randomly chose 5 schoolmates and weighed their pencils. The samples are shown in the table.
In an activity, students are pulling marbles from a large jar containing blue and red marbles. In their sample, students will calculate the proportion of blue marbles. Which of the following sample sizes will have the largest sampling variability? O 5 10 O 15 O 20
A group of people was randomly selected and asked how many hours per day each person spends on social media. The results of the survey are displayed in the following histogram:What percentage of the people surveyed spend 5 hours or more per day on social media? 22.5% 32.5% 50% or 77.5%
Does the type of instruction in a college statistics class (either lecture or self-paced) influence students’ performance, as measured by the number of quizzes successfully completed during the semester? Twelve students were recruited for the study. Students received the lecture instruction or a self-paced instruction. The total number of quizzes completed during teach type of instruction appear below.
A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 87% of the time if the person has the virus (true positive) and 14% of the time if the person does not have the virus (false positive). Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. Virus No Virus TotalPositive Test Negative Test Total 100,000a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. % b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign. %
In a survey conducted by a reputable marketing agency, 231 of 1000 adults 19 years of age or older confessed to bringing and using their cell phone every trip to the bathroom (confessions included texting and answering phone calls). Complete parts (a) through (f) below. D. The sample size is large. E. Its value may change depending on the individuals in the survey. What is the source of variability in the random variable? A. The sample size B. The individuals selected to be in the study C. The question asked in the survey D. The marketing agency (e) Construct and interpret a 95% confidence interval for the population proportion of adults 19 years of age or older who bring their cell phone every trip to the bathroom. Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) OA. There is a % probability the proportion of adults 19 years of age or older who bring their cell…
In a simple random sample of 1200 young people, 86% had earned a high school diploma. What is the standard error for this estimate of the percentage of all young people who earned a high school diploma?
Use the applet below to select a random sample of 9 babies from the town. Assume μ = 3,500. Repeat many times to observe how the mean birth weights for the samples vary. Then answer the following question. Click to generate a random sample of the weights of 9 babies Population: babies born in town this year Average birth weight in grams: µ = 3500 Sample: 3271 3467 4015 3440 3451 3528 2901 3471 4244 Sample statistic: & = 3532 Sampling Distribution 3,000 3,100 3,200 3,300 3,400 3,500 3,600 3,700 3,800 3,900 4,000 Sample Means: 3704, 3663, 3548, 3398, 3494, 3513, 3503, 3818, 3492, 3447, 3550, 3271, 3542, 3589, 3491, 3532

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