A study of the relationship between age and various visual functions (such as acuity and depth perception) reported the following observations on the area of scleral lamina (mm2) from human optic nerve heads: 2.79 2.66 2.80 3.92 2.28 2.81 4.02 4.16 3.95 4.26 3.51 4.61 2.37 3.66 2.72 3.64 2.96 (a) Calculate Σxi and Σxi2. (Round Σxi2 to two decimal places.) Σxi = mm2 Σxi2 = mm4 (b) Use the values calculated in part (a) to compute the sample variance s2 and then the sample standard deviation s. (Round your answers to three decimal places.) s2 = mm4 s = mm2

A study of the relationship between age and various visual functions (such as acuity and depth perception) reported the following observations on the area of scleral lamina (mm2) from human optic nerve heads: 2.79 2.66 2.80 3.92 2.28 2.81 4.02 4.16 3.95 4.26 3.51 4.61 2.37 3.66 2.72 3.64 2.96 (a) Calculate Σxi and Σxi2. (Round Σxi2 to two decimal places.) Σxi = mm2 Σxi2 = mm4 (b) Use the values calculated in part (a) to compute the sample variance s2 and then the sample standard deviation s. (Round your answers to three decimal places.) s2 = mm4 s = mm2

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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A study of the relationship between age and various visual functions (such as acuity and depth perception) reported the following observations on the area of scleral lamina (mm2) from human optic nerve heads: 2.84 2.63 2.76 3.75 2.28 2.64 3.94 4.11 3.80 4.27 3.49 4.51 2.40 3.59 2.72 3.55 3.02 (a) Calculate Σxi and Σxi2. Σxi = ? mm2 Σxi2 = ? mm4 (b) Use the values calculated in part (a) to compute the sample variance s2 and then the sample standard deviation s. (Round your answers to four decimal places.) s2 = ? mm4 s = ? mm2
Two quality control technicians measured the surface finish of a metal part, obtaining the data in the table below. Assume that the measurements are normally distributed.
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The following data are on the dental measurements (distance in mm from the center of the pituitary to the pterygomaxillary fissure of 11 girls and 16 boys, all of whom were 16 years of age. Girls Boys 23.0 31.0 25.5 26.5 26.0 27.5 26.5 27.0 23.5 26.0 22.5 28.5 25.0 26.5 24.0 25.5 21.5 26.0 19.5 31.5 28.0 25.0 28.0 29.5 26.0 30.0 25.0 Reference SAS image to answer following questions 1. A. What are the appropriate null and alternative hypotheses for this research question using the appropriate population parameter(s) for SAS output for a t-test? b. Based on the output, which p-value tests the following hypotheses if you want to use a two-sample independent pooled t-test? Provide the specific test statistic and p-value. 2. From the output, what is the estimate of the pooled standard deviation? 3. From the output, what is the standard error for the average difference in…
The following data are on the dental measurements (distance in mm from the center of the pituitary to the pterygomaxillary fissure of 11 girls and 16 boys, all of whom were 16 years of age. Girls Boys 23.0 31.0 25.5 26.5 26.0 27.5 26.5 27.0 23.5 26.0 22.5 28.5 25.0 26.5 24.0 25.5 21.5 26.0 19.5 31.5 28.0 25.0 28.0 29.5 26.0 30.0 25.0 A. From the output, what is the standard error for the average difference in dental measurements in the population of 16 year old boy and 16 year old girls (assume the population variances are equal) B. From the output, interpret the 95% confidence interval for the true average difference in dental measurements
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rofessor Cornish studied rainfall cycles and sunspot cycles. (Reference: Australian Journal of Physics, Vol. 7, pp. 334-346.) Part of the data include amount of rain (in mm) for 6-day intervals. The following data give rain amounts for consecutive 6-day intervals at Adelaide, South Australia. 7 28 7 1 69 3 1 4 22 7 16 4 54 160 60 73 27 3 3 1 7 144 107 4 91 44 1 8 4 22 4 59 116 52 4 155 42 24 11 43 3 24 19 74 26 63 110 39 34 71 52 39 8 0 15 2 14 9 1 2 4 9 6 10 (i) Find the median. (Use 1 decimal place.)(ii) Convert this sequence of numbers to a sequence of symbols A and B, where A indicates a value above the median and B a value below the median. Test the sequence for randomness about the median at the 5% level of significance. (b) Find the number of runs R, n1, and n2. Let n1 = number of values above the median and n2 = number of values below the median. R n1 n2 (c) In the case, n1 > 20, we cannot use Table 10 of Appendix II to find the critical…
Collected data: GPA of working students (working 20 hours and more per week): 2.02 2.12 2.17 2.31 2.34 2.41 2.57 2.68 2.75 2.92 2.92 2.97 2.98 3.07 3.19 3.27 3.29 3.31 3.33 3.38 3.38 3.45 3.49 3.51 3.52 3.52 3.57 3.57 3.59 3.67 Find the following: Kurtosis skewness Range