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Given query is to find the value of z.
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- Determine whether the following statements are true or false? (a) When interpolating n data points, (x;, y), i = 1,2,..., n, using polynomial interpolation, there are n unknown coefficients to determine. (b) When interpolating n data points, (x;, yi), i = 1,2, ., n, using cubic spline interpolation (not-a-knot spline), there are 4(n - 2) unknown coefficients to determine. (c) When performing linear curve fitting for n data points, (x;, yp), i = 1,2,..., n, there are 2n unknown model parameters to determine. (d) When performing nonlinear curve fitting for n data points, (x;, Vi), i = 1,2. unknown model parameters depend on the model form assumed.Examine the following figure, which displays hypothetical measurements of a sample of individuals from three groups. The horizontal axis represents three groups: A, B, and C. The vertical axis represents measurements from 0.0 to 10.0 with an interval of 2.5. The approximate data from graph are as follows: For group A, majority of measurements lie between 1 to 5 with widest bulge at 2 point 7. For group B, majority of measurements lie between 1 and 6 with the widest bulge at 2 point 5. For group C, majority of measurements lie between 2 point 5 and 7 with the widest bulge at 6 point 5. A) In which of the groups is the frequency distribution of measurements approximately symmetric? B) Which of the frequency distributions show negative skew? C) Which of the frequency distributions show positive skew?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.]
- 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.Mars, Inc. states that 16% of all milk chocolate M&M’S® produced are green. A group of students took the following samples from a bowl of 500 mixed up M&M’S®. (see attached) What information do we need in order to answer our question or investigate the claim that 16% of milk chocolate M&M’S® produced by Mars, Inc. are green? How can we use the samples of M&M’S® to obtain this information? What value is at the center of the dot plot constructed by using one sample per group? Is it a coincidence that the value is close to/far from the 16% claimed by Mars, Incorporated? Mars, Inc. claimed that 16% of milk chocolate M&M’S® produced are green. Does the information on the dot plot seem to support this claim? Why or why not?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.
- 1. We poll 450 people and find that 30% favor Candidate S. In order to estimate with 90% confidence what percent of ALL voters would vote for Candidate S, we should use: 2-SampTInt 2-SampZInt 2-PropZInt TInterval 1-PropZInt ZInterval 2. We poll 550 people and find that 50% favor Candidate S. In order to estimate with 99% confidence the percent of ALL voters would vote for Candidate S, we should use: 2-PropZInt TInterval 2-SampZInt 2-SampTInt 1-PropZInt ZIntervalThe attached data contains Part Quality data of three suppliers. At = 0.05, does Part Quality depend on Supplier, or should the cheapest Supplier be chosen?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 what sense is the mean teh center of distributon? a.M is the center because half the sample scores are always above it and half are below b.M is center because it is always the most probable score in the sample c.M for the sample always equals micro for the population d.M is like a balance point because E (m-x)=0 for every sample.Calculate a point estimate of the strength valuethat sep arates the weakest 50% of all such beamsfrom the strongest 50%, and state which estimatoryou used.According to the picture attached of the resdiual plot, pelase select the statement that is true. All the assumptions are met. There is problem of heteroscedasticity. There is problem of collinearity. We should include higher order terms.