4.3 A survey of 500 adults found that 40% of them prefer coffee over tea. If a random sample of 20 adultsis taken,a) Suggest a suitable model to describe the number of adults X, who prefer coffee over tea. Justifyyour answerb) What is the probability at least 15 of them prefer coffee (rounded to four decimal places)?

Let X be the number of adults who prefer coffee over tea. The probability of adults who prefer…

Answered: 4.3 A survey of 500 adults found that…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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In a survey of 175 females who recently completed high school, 76% were enrolled in college. In a survey of 150 males who recently completed high school, 72% were enrolled in college. At a = 0.05, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e). O A. Ho: P1 #P2 Ha: P1 = P2 O B. Ho: P1 P2 OF. Ho: P1 = P2 O D. Ho: P1 > P2 Ha: P1 SP2 Ha: P1 O B. z 1.96 O D.
A survey was conducted to measure the number of hours adults spend sleeping each week. In the survey, the number of hours was normally distributed, with an average of 7 hours and a standard deviation of 1 hour. One adult was chosen at random. Which of the alternatives below corresponds to the probability that this participant will spend more than 10 hours a week sleeping? a) 0,9987% b) 13% c) 99,87% d) 0,13%
A statistical program is recommended. A paper gave the following data on n = 11 female black bears. Age Weight (years) (kg) 10.5 6.5 28.5 F = 6.5 7.5 6.5 5.5 7.5 11.5 P-value = 9.5 5.5 54 |O Ho: B1 = B2 =1 40 62 55 56 62 42 40 59 51 50 H₂: at least one of B₁ or H₂: at least one of B₁ or Home-Range Size (km²) Ho: At least one of ₁ or H₂: B₁ = B₂ = 1 43.0 46.7 57.3 35.5 62.1 = weight. (a) Fit a multiple regression model to describe the relationship between y = home-range size and the predictors X₁ = age and X2 (Round your numerical values to four decimal places.) ŷ 33.9 (b) If appropriate, carry out a model utility test with a significance level of 0.05 to determine if at least one of the predictors age and weight is useful for predicting home range size. State the null and alternative hypotheses. ⒸH₁: B₁ = B₂ = 0 39.6 32.2 57.2 24.5 68.6 B₂ is not 0. ₂ is not 1. O Ho: At least one of ₁ or ₂ is not 0. H₂: B₁ = B₂ = 0 ₂ is not 1. Calculate the test statistic. (Round your answer to two…
A recent study has shown that 28% of 18-34 year olds check their Facebook/Instagram feeds before getting out of bed in the morning,If we sampled a group of 150 18-34 year olds, what is the probability that the number of them who checked their social media before getting out of bed is:a.) At least 30? b.) No more than 54? c.) between 36 and 49 (including 36 and 49)? Use the Normal Approximation to the Binomial distribution to answer this question.
There are 100 multiple-choice question on exam, each having responses a, b, c, d. suppose that a student has 75% chance to answer each qustion correctly and all the answers are independent. if the student needs to answer at least 40 questions to pass, what is the probability that the student passes? Use normal approximation.
3
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Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.† An insurance company is studying wheat hail damage claims in a county in Colorado. A random sample of 16 claims in the county reported the percentage of their wheat lost to hail. 15 7 7 13 13 20 13 12 5 10 26 22 13 7 11 3 The sample mean is x = 12.3%. Let x be a random variable that represents the percentage of wheat crop in that county lost to hail. Assume that x has a normal distribution and σ = 5.0%. Do these data indicate that the percentage of wheat crop lost to hail in that county is different (either way) from the national mean of 11%? Use α = 0.01. (a) What is the level of significance? Compute the z value of the sample test statistic. (Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

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