11. Fit a Poisson distribution to the following data given the number of yeast cells per square for 400squares:No. of cells per sq. :No. of squares :01031143298342485 6 742089100(S.V.T.U., 2007)00

Given data available in the following table:Number of cells per squares012345678910Number of…

Answered: 1. Fit a Poisson distribution to the…

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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1.The least squares estimate of β0 is i. 2.3176 ii. 0.7176 iii. 0.8824 iv. 1.8990 2. The least squares estimate of β1 is i. 0.4773 ii. 0.2990 iii. 0.2061 iv. 0.9265 3. The linear correlation coefficient r is i. 0.4122 ii. 0.1700 iii. 0.2990 iv. 0.5683
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Ensure the RaceResults worksheet is active, then use the FREQUENCY function to calculate the frequency distribution of the race results in column D. Place your results in the range G4:G9. Enter a function in cell F22 to calculate the correlation between age (Columns C) and race time (Column D). Enter a function in cell G22 to calculate the covariance between age and race time. Enter a function in cell H22 to calculate the variance of the ages in the data set. Note this is a sample of data not a population. Enter a function in cell 122 to calculate the standard deviation of the ages in the data set.
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2) Kate works as a manager at a call center. She wants to observe how waiting times of customers to be assigned with a representative show variation so that she can schedule the working hours of employees accordingly. Her claim is that variance between waiting times is no more than 60 minutes. She keeps track of waiting times for 22 customers which are given below: 35 29 12 35 16 28 37 13. 14 38 15 39 23 26 29 16 19 23 15 25 17 28 Kate wants to find the smallest Type 1 error probability that allows her to reject Ho. Define an interval for such Type 1 error probability.
2 In building electronic circuitry, the breakdown voltage of diodes is an important quality char- Acteristic. The breakdown voltage of 12 diodes were recorded as follows (in volta): 9.099 9.174 9.327 9.377 8.471 9.575 9.514 8.928 8.800 8.920 9.913 8.306 Solution A quality engineer claimed that the variability of the breakdown voltage is not less than 0.55. Can the data support the engineer's claimed at a 0.057 ii. If level of significance is reduced to 0.02, will you change the conclusions you have made in (i)? Justified your answer.

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1. Fit a Poisson distribution to the following data given the number of yeast cells per square for 400 squares: No. of cells per sq. : No. of squares : 0 103 1 143 2 98 3 42 4 8 5 4 6 2 7 0 8 0 9 10 0 0 (S.V.T.U., 2007)