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- c) If wages are increased by 12% , how consistency would be effected.d) If 15% of the workers are exempted from payment of tax, what is the limit of wage to be taxed.e) If 12% of workers drawing top wages are to be paid supervisory allowance, what is the limit ofwage at which the allowance will be admissible.f) Comment about skewness and kurtosis of the data using suitable measures based on moments.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.]Suppose that 95% of the bags of certain fertilizer mix weigh between 49 and 53 pounds. Averages of three succesive bags were plotted, and 47.5% of these were observed to lie between 51 and X pounds. Estimate the value of X. State assumptions you make and say whether these assumptions are likely to be true for this example.
- Find the clamped cubic spline that interpolates (0,0),(1,1),(2,2) and satisfies the condition: s’(0) = 1 and s’(2) = 1.Compute r with table Strength ConlusionAn ecologist is considering two different positions in which to setup his solar energy collector. He takes two identical collector places one in each of the positions and measure the energy in at collected as 10 consecutive days. Days 1 2 3 4 5 6 7 8 9 10 Position X 2.6 5.4 3.2 5.0 4.3 2.7 2.6 3.9 6.0 1.6 POSITION y 2.8 5.1 3.1 6.0 4.6 3.2 2.9 4.5 6.2 2.2 Test whether the difference of mean is significance ? what will be the answer
- If only 7 of the 12 spins land in the blue region, do we have convincing evidence that the website’s claim is false? Compute P(X ≤ 7) with technology and use this result to support your answer.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…In a bag of 340 chocolate candies, 35 of them are brown. The candy company claims that 13% of its plain choclate candies are brown. For following assume that the claim of 13% is true and assume that a sample conists of 340 chocolate candies. Complete a-e A) for the 340 choclate candies use the range rule of thumb to identify the limits separating numbers of brown choclate candies that are significantly low and those that r high values of _ brown cadies or fewer are low B) values of _ brown cadies are higher C) Find the probability
- 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.they take samples of 4 fireworks for quality co from and examine them for defects. let X be the number of defective fireworks in the sample of 4.Take the Gamblers ruin on [0, N] with a fair coin, i.e., a simple random walk with absorbing boundaries at 0 and N. Let T be the time which elapses before the SRW is absorbed by one of the boundaries (i.e., the duration of the game. Show that P(T < ∞) = 1 and Epecation (T^k) < ∞ for all k.