MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Fundamentals of Trigonometric Identities
Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.
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In Country A, the population mean height for 10-year-old girls is 53.6 inches with a standard deviation of 2.1 inches. Suppose a random sample of 15 10-year-old girls from Country B is taken and that these girls had a sample mean height of 52.5 inches with a standard deviation of 2.6 inches. Assume that heights are Normally distributed. Complete parts (a) through (c) below. a. Determine whether the population mean for height for 10-year-old girls from Country B is significantly different from the Country A population mean. Use a significance level of 0.05. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: µ#53.6 Ha: µ= 53.6 B. Ho: µ= 53.6 Hai µ#53.6 C. Ho: µ= 53.6 HaiH<53.6 %3D D. Ho: µ> 53.6 Hai u= 53.6 E. Ho: µ< 53.6 Ha: H= 53.6 F. Ho: µ= 53.6 Ha: u> 53.6 %3D Check the conditions to see whether the test statistic will follow a t-distribution. The sample is random and the observations independent. The distribution of the heights is Normally distributed. are Find the test statistic. t= - 1.64 (Round to two decimal places as needed.) Find the p-value. (Round to three decimal places as needed.)
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Transcribed Image Text:In Country A, the population mean height for 10-year-old girls is 53.6 inches with a standard deviation of 2.1 inches. Suppose a random sample of 15 10-year-old girls from Country B is taken and that these girls had a sample mean height of 52.5 inches with a standard deviation of 2.6 inches. Assume that heights are Normally distributed. Complete parts (a) through (c) below. a. Determine whether the population mean for height for 10-year-old girls from Country B is significantly different from the Country A population mean. Use a significance level of 0.05. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: µ#53.6 Ha: µ= 53.6 B. Ho: µ= 53.6 Hai µ#53.6 C. Ho: µ= 53.6 HaiH<53.6 %3D D. Ho: µ> 53.6 Hai u= 53.6 E. Ho: µ< 53.6 Ha: H= 53.6 F. Ho: µ= 53.6 Ha: u> 53.6 %3D Check the conditions to see whether the test statistic will follow a t-distribution. The sample is random and the observations independent. The distribution of the heights is Normally distributed. are Find the test statistic. t= - 1.64 (Round to two decimal places as needed.) Find the p-value. (Round to three decimal places as needed.)
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