Two samples, sizes 40 and 50 respectively, are taken from a population with unknown mean μ and unknown variance 2 σ . The data is shown below. Sample I X1 35 36 37 38 39 f 3 7 15 10 5 Sample II X2 35 36 37 38 39 40 f 10 21 8 6 3 2 Using the data from the two samples above, obtain unbiased estimates of i. The population mean ii. The population variance

Two samples, sizes 40 and 50 respectively, are taken from a population with unknown mean μ and unknown variance 2 σ . The data is shown below. Sample I X1 35 36 37 38 39 f 3 7 15 10 5 Sample II X2 35 36 37 38 39 40 f 10 21 8 6 3 2 Using the data from the two samples above, obtain unbiased estimates of i. The population mean ii. The population variance

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Calculate range, quartile deviation and its co-efficient from the following statistical data: Weight per KG No. of students 40 1 42 4 46 6 50 7 52 9 55 13 57 10 60 8 65 70 5
Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both the number of births x per one thousand people in the population and the female life expectancy y (in years) are given. These data are displayed in the Figure 1 scatter plot. Birthrate, x (number of births per 1000 pop.) 16.5 35.3 39.8 17.7 30.1 27.0 13.4 47.2 49.6 49.8 48.0 24.5 Send data to calculator Female life expectancy, y (in years) 76.0 66.6 65.7 74.1 64.1 71.7 72.0 56.7 54.4 57.7 63.6 74.5 Send data to Excel Female life expectancy (in years) 85. Figure 1 80- 75- 70. 65. 60 55 50 15 20 25 30 35 40 45 50 55 Birthrate (number of births per 1000 pop.) The value of the sample correlation coefficient r for these data is approximately - 0.909. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult a list of formulas.) (a) What is the value of the…
d. Sample variancee. Sample standard Deviationg. Eight Decile
To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 2 3 25 34 15 31 32 14 29 37 18 27 33 17 a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use a = 0.05. Sum of squares, treatment = Sum of squares, error = Mean squares, treatment = mean squares, error = Calculate the value of the test statistic (to 2 decimals). The P-value is: Less than 0.01, between 0.01 and 0.025, between 0.025 and 0.05, between 0.05 and 0.10, greater than 0.10 What is your conclusion? b. At the a = 0.05 level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 3. What conclusion can you draw after carrying out this test?
The data show the number of hours of television watched per day by a sample of 28 people. Use technology to answer parts (a) and (b) below. D 6 5 3 3 8 7 7 0 2 1 2 0 2 6 1 2 Q₁ = Q₂ = Q3 = (Type integers or decimals. Do not round.) Q 6 0 4 G 6 a. Find the data set's first, second, and third quartiles. 3 0 0 5 2 6 3 3 b. Draw a box-and-whisker plot that represents the data set. Choose the answer below. Note that different technologies will produce slightly different results. O A. O B. OC. C Q Q ✔ Q
The following data represent the daily supply and the unit price for a product. Compute and interpret the sample correlation coefficient. Daily Supply (y) Unit Price (x) 5 2 7 4 9 8 12 5 10 7 13 8 16 16 16 6
For the data given below, fill in the blanks, using Formulas, Descriptive Statistics and Regression outputs. Mean of X2: 1) 28th Percentile of X1: 2) 3) Standard Deviation of X2: 4) Y XI X2 10 20 400 70 11 30 450 97 12 Median of X2: 10 350 54 5) Correlation Between X1 and Y: Minimum value of X2: 13 20 375 40 14 6) 30 400 65 15 9) bo : 25 400 94 16 7) b,. 30 450 53 17 8) 20 300 35 10) 11) 18 SSR: 10 300 75 19 SSE: 40 300 53 ST: F Statistics: 20 12) Regression output 20 350 64 13) 14) 21 30 450 68 22 Adjusted R Square: 10 400 96 23 15) MSE: 30 325 54 24 16) MSR: 25 17) Standard Error of Regression: 18) 19) 20) 26 Standard error of X2: 27 t-statistics of X2: 28 Fit the regression equation: 29 30 Sheet1
Given the following data: Data 1 Data 2 1 1 4 5 5 5 6 5 8 8 Which of the following is best in comparing the variation of the two data sets? a range b interquartile range c standard deviation d variance
State Debt and Per Capita Tax Data for per capita state debt and per capita state tax for nine randomly selected states are shown. The correlation coefficient is r=0.463. Compute the standard error of the estimate rounded to at least two decimal places, if appropriate. Assume a=0.05. Per capita debt x Per capita tax y Send data to Excel 4529 1455 2349 3478 1948 2387 2423 3357 1645 1430 O The standard error of the estimate should be calculated. Sest O The standard error of the estimate should not be calculated. X 1902 3691 1913 2054 2069 2049 3 907 2054
The semi-averages of the below given data are: Year Rainfall 1999 21 2000 11 2001 14 2002 16 2003 18 а. 16 and 24 O b. 16 and 15 С. 16 and 17 d. 16 and 12.5
D, E, F only
Suppose we have the following paired observations of variables X and Y: X Y 8 0 4 10 12 20 Draw the scatter plot comparing X and Y. Calculate the values of the sample covariance and sample correlation between X and Y. Using this information, how would you characterize the relationship between X and Y ?