5. An online spinner has two colored regions-blue and yellow. According to the website, the probability that the spinner lands in the blue region on any spin is 0.80. Assume for now that this claim is correct. Suppose we spin the spinner 12 times and let X = the number of times it lands in the blue region. Starnes & Tabor, The Practice of Statistics, 6e, 2018 Bedford, Freeman & Worth High School Publishers a. Explain why X is a binomial random variable. b. Find the probability that exactly 8 spins land in the blue region.
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- . A research center claims that at least 23% of adults in a certain country think that their taxes will be audited. In a random sample of 900 adults in that country in a recent year, 19% say they are concerned that their taxes will be audited. At α=0.01, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha.Can you use these results and Theorem 12.2 (see image) to test the nullhypothesis that ? = 150 thousand miles against the alternative hypothesis ? < 150 thousand miles at the 0.01 level of significance for the following: the times to failure of a power train component in a certain car make and model are (in thousands of miles) 225, 459, 54, 180, 585, 558, 36, 342, 270, 378, 108, 396, 18, 252,135, 18, 162, 297, 171, and 27. Consider these data to be a random sample from an exponential (?) population.Which of the following is an example of a null hypothesis? a. The thickness of aluminum sheets averages is not .03 inches, as required. b. The average quantity of detergent put into a box by this filling machine is not 1 pound and this shipping company's average delivery time is different from 3 days. c. This industrial process makes windshields with an average length of 33 inches. d. This shipping company's average delivery time is different from 3 days. e. The average quantity of detergent put into a box by this filling machine is not 1 pound.
- Which of the following statements is true if when using null hypothesis testing, our p value (in the "sig" column of SPSS output) is 0.069? a) Reject the null hypothesis b) Fail to reject the null hypothesis c) Reject the alternative hypothesis d) Fail to reject the alternative hypothesisAn individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is the following. Find the following. (a) E[Y ] (b) V[Y]An instructor has given a short quiz consisting of nvo parts. For a randomly selected student, let X= the number of points earned on the first part and Y= the number of points earned on the second part. Suppose that thejoint pmf of X and Yis given in the accompanying table. a. If the score recorded in the grade book is the total number of points earned on the nvo parts,what isthe expected recorded score E(X + Y)? b. If the maximum of the two scores is recorded,what isthe expected recorded score? A random variable is normally distributed with a mean of m =50 and a standard deviation of <T =5. Sketch a normal curve for the probability density Label the horizontal ax. is with values of 35, 40, 45, 50, 55, 60, and 65. Figure 6.4 shows that the normal curve almost touches the horizontal axis at three standard deviations below and at three standard deviations above the mean (in this case at 35 and 65). What is the probability…
- The article “Can We Really Walk Straight?” (Amer. J.of Physical Anthropology, 1992: 19–27) reported on anexperiment in which each of 20 healthy men was askedto walk as straight as possible to a target 60 m away atnormal speed. Consider the following observations oncadence (number of strides per second):.95 .85 .92 .95 .93 .86 1.00 .92 .85 .81.78 .93 .93 1.05 .93 1.06 1.06 .96 .81 .96Use the methods developed in this chapter to summarizethe data; include an interpretation or discussion whereverappropriate. [Note: The author of the article used a rathersophisticated statistical analysis to conclude that peoplecannot walk in a straight line and suggested severalexplanations for this.]A research center claims that that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that would travel into space on a commercial flight if they could afford it. At alpa= 0.05, isthere enough evidence to reject the research centers claim complete parts a through d belowA research center claims that 30% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1100 adults in that country, 34% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At least enter your response here% of adults in the country would travel into space on a commercial flight if they could afford it. B. 3030% of adults in the country would travel into space on a commercial flight if they could afford it. C. The percentage adults in the country who would travel into space on a commercial flight if they could…
- A research center claims that 30% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1100 adults in that country, 34% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At least enter your response here% of adults in the country would travel into space on a commercial flight if they could afford it. B. enter your response here% of adults in the country would travel into space on a commercial flight if they could afford it. C. The percentage adults in the country who would travel into space on a commercial…A research center claims that 29% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 800 adults in that country, 31% say that they would travel into space on a commercial flight if they could afford it. At a=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. The percentage of adults in the country who would travel into space on a commercial flight if they could afford it is not ______%. B. No more than ______% of adults in the country would travel into space on a commercial flight if they could afford it. C. ______% of adults in the country would travel into space on a commercial flight if they could afford it. D. At least ______% of…Claim: A minority of adults would erase all of their personal information online if they could. A software firm survey of 453 randomly selected adults showed that 45% of them would erase all of their personal information online if they could. Complete parts (a) and (b) below. a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information. b. Identify the null and alternative hypotheses.