According to the Centers for Disease Control and Prevention (CDC), the mean BMI of U.S. men of age 40–49 years old is 28.4 Using the provided sample data file, conduct a one-sample ?-z-test of a mean to test whether the mean BMI of men of age 40–49 years old who smoke daily is lower than 28.4.Conduct the ?-z-test at a significance level of ?=0.05 to test the null hypothesis, ?0:?=28.4, against the alternative hypothesis, ?1:?<28.4, where ?μ represents the mean BMI of U.S. men of age 40–49 who smoke daily. Assume that the population standard deviation of BMI, ?σ, is 8.346The sample data provided contain BMI results collected from a 2015 survey conducted by the National Center for Health Statistics for men of age 40–49 who smoke daily. Calculate the sample mean, ?⎯⎯⎯x¯, for this data. Give your answer precise to at least one decimal place.Calculate the sample mean, ?⎯⎯⎯x¯, for this data. Give your answer precise to at least one decimal place.Compute the standard deviation, SD, of the sampling distribution of the mean. (Some people call this the standard error.) Give your answer with precision to at least two decimal places.Next, determine the ?-statisticz-statistic for this hypothesis test. Provide your answer with precision to two decimal places. Avoid rounding until the final step.compute the ?-valueP-value for the ?-statisticz-statistic. Give your answer precise to at least three decimal places.compute the ?-valueP-value for the ?-statisticz-statistic. Give your answer precise to at least three decimal places. "BMI" 25.12 31.68 29.72 25.81 34.96 23.72 41.19 30.7 23.62 20.37 20.24 21.81 27.55 30.84 23.57 23.74 19.94 23.47 26.55 21.7 26.62 22.8 27.62 22.47 35.2827.11 18.83 30.15 22.72 23.87 36.51 23.74 33.94 25.09 19.23 28.24 33.94 27.47 31.73 27.73 24.39 30.88 24.39 36.32 33.44 27.22 25.09 36.54 24.14 29.04 27.2325.75 22.32 27.8 25.37 27.36 23.59 21.02 23.05 26.62 26.31 22.36 23.75 28.61 27.3 27.27 28.24 28.37 33.5 24.39 31.41 19.26 25.97 32.14 37.25 18.87 23.74 30.4124.48 22.43 23.05 22.8 28 32.55 24.34 26.55 22.45 25.77 27.8 25.08 27.8 22.69 27.46 24.34 32.02 28.37 25.81 30.26 25.06 25.77 27.41 31.65 25.59 28.13 37.1332.09 40.45 33.9 31.01 28.76 29.52 30.08 30.12 34.45 29.05 25.82 26.55 28.41 26.62 30.34 24.39 22.97 29.15 30.52 26.62 25.08 37.68 28.37 31.31 34.88 26.9228.9 23.75 37.96 25.66 23.63 18.01 29.94 25.77 25.08 19.37 42.79 37.17 26.62 22.13 22.24 25.29 25.12 24.34 22.36 31.57 30.15 24.83 22.09 25.81 33.94 23.6621.92 23.66 27.45 31.18 25.81 34.53 27.3 22.32 29.59 23.05 21.56 39.45 29.58 33.46 35.49 39.86 29.58 26.55 34.96 28.49 27.96 27.44 32.29 25.77 26.79 23.4727.46 22.32 31.95 25.84 36.01 21.44 24.39 27.45 22.62 26.92 21.51 19.2 25.1 26.39 30.41 26.49 26.52 26.62 26.54 27.44 25.77 25.09 27.17 25.06 25.81 22.13 30.731.95 36.15 33.28 31.01 30.56 25.81 28.29 30.52 24.39 29.05 20.24 21.12 29.94 24.25 27.11 22.54 24.27 24.39 32.49 32.09 27.9 39.15 34.66 26.63 28.05 24.3928.49 28.27 25.85 30.7 28.61 30.15 33.36 28.13 27.9 25.81 27.66 33.94 33.36 30.69 26.52 23.3 35.24 17.43 22.36 25.08 21.1 37.3 28.8 27.27 26.59 31.73 22.6924.05 26.09 32.55 22.32 24.27 31.7 27.36 28.17 27.41 34.45 33.22 38.65 21.25 25.08 31.62 31.57 23.63 28 28.3 27.45 21.59 26.32 30.71 23.09 21.44 28.24 30.726.54 35.74 28.13 18.98 30.69 27.45 32.27 25.63 28.13 22.24 39.55 25.75 25.85 26.79 31.41 25.09 34.23 26.39 27.22 25.82 22.61 34.33 30.81 27.22

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Description: According to the Centers for Disease Control and Prevention (CDC), the mean BMI of U.S. men of age 40–49 years old is 28.4 Using the provided sample data file, conduct a one-sample ?-z-test of a mean to test whether the mean BMI of men of age 40–49 y

Sample mean of given data: Sum of numbers = 8644.65 Total numbers = 315 Sample mean = X = 27.4 Standard devation = 5.00 Null hypoyhesis : H0 : μ ≥ 28.4 Alternative hypothesis : Ha : μ < 28.4 Level of significance =α = 0.05 Zα2 = 1.96 Test is one tailed. Z - Test statistics Z = X - μσn = 27.4 - 28.4 5315 = -3.55 P value = 0.0002 As P < α i.e 0.0002 < 0.05 So , it concludes that it rejects the null hypothesis

According to the Centers for Disease Control and Prevention (CDC), the mean BMI of U.S. men of age 40–49 years old is 28.4 Using the provided sample data file, conduct a one-sample ?-z-test of a mean to test whether the mean BMI of men of age 40–49 years old who smoke daily is lower than 28.4. Conduct the ?-z-test at a significance level of ?=0.05 to test the null hypothesis, ?0:?=28.4, against the alternative hypothesis, ?1:?<28.4, where ?μ represents the mean BMI of U.S. men of age 40–49 who smoke daily. Assume that the population standard deviation of BMI, ?σ, is 8.346 The sample data provided contain BMI results collected from a 2015 survey conducted by the National Center for Health Statistics for men of age 40–49 who smoke daily. Calculate the sample mean, ?⎯⎯⎯x¯, for this data. Give your answer precise to at least one decimal place. Calculate the sample mean, ?⎯⎯⎯x¯, for this data. Give your answer precise to at least one decimal place. Compute the standard deviation, SD, of the sampling distribution of the mean. (Some people call this the standard error.) Give your answer with precision to at least two decimal places. Next, determine the ?-statisticz-statistic for this hypothesis test. Provide your answer with precision to two decimal places. Avoid rounding until the final step. compute the ?-valueP-value for the ?-statisticz-statistic. Give your answer precise to at least three decimal places. compute the ?-valueP-value for the ?-statisticz-statistic. Give your answer precise to at least three decimal places.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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According to the Centers for Disease Control and Prevention (CDC), the mean BMI of U.S. men of age 40–49 years old is 28.4 Using the provided sample data file, conduct a one-sample ?-z-test of a mean to test whether the mean BMI of men of age 40–49 years old who smoke daily is lower than 28.4.

Conduct the ?-z-test at a significance level of ?=0.05 to test the null hypothesis, ?0:?=28.4, against the alternative hypothesis, ?1:?<28.4, where ?μ represents the mean BMI of U.S. men of age 40–49 who smoke daily. Assume that the population standard deviation of BMI, ?σ, is 8.346

The sample data provided contain BMI results collected from a 2015 survey conducted by the National Center for Health Statistics for men of age 40–49 who smoke daily. Calculate the sample mean, ?⎯⎯⎯x¯, for this data. Give your answer precise to at least one decimal place.

Calculate the sample mean, ?⎯⎯⎯x¯, for this data. Give your answer precise to at least one decimal place.

Compute the standard deviation, SD, of the sampling distribution of the mean. (Some people call this the standard error.) Give your answer with precision to at least two decimal places.

Next, determine the ?-statisticz-statistic for this hypothesis test. Provide your answer with precision to two decimal places. Avoid rounding until the final step.

compute the ?-valueP-value for the ?-statisticz-statistic. Give your answer precise to at least three decimal places.

"BMI" 25.12 31.68 29.72 25.81 34.96 23.72 41.19 30.7 23.62 20.37 20.24 21.81 27.55 30.84 23.57 23.74 19.94 23.47 26.55 21.7 26.62 22.8 27.62 22.47 35.28
27.11 18.83 30.15 22.72 23.87 36.51 23.74 33.94 25.09 19.23 28.24 33.94 27.47 31.73 27.73 24.39 30.88 24.39 36.32 33.44 27.22 25.09 36.54 24.14 29.04 27.23
25.75 22.32 27.8 25.37 27.36 23.59 21.02 23.05 26.62 26.31 22.36 23.75 28.61 27.3 27.27 28.24 28.37 33.5 24.39 31.41 19.26 25.97 32.14 37.25 18.87 23.74 30.41
24.48 22.43 23.05 22.8 28 32.55 24.34 26.55 22.45 25.77 27.8 25.08 27.8 22.69 27.46 24.34 32.02 28.37 25.81 30.26 25.06 25.77 27.41 31.65 25.59 28.13 37.13
32.09 40.45 33.9 31.01 28.76 29.52 30.08 30.12 34.45 29.05 25.82 26.55 28.41 26.62 30.34 24.39 22.97 29.15 30.52 26.62 25.08 37.68 28.37 31.31 34.88 26.92
28.9 23.75 37.96 25.66 23.63 18.01 29.94 25.77 25.08 19.37 42.79 37.17 26.62 22.13 22.24 25.29 25.12 24.34 22.36 31.57 30.15 24.83 22.09 25.81 33.94 23.66
21.92 23.66 27.45 31.18 25.81 34.53 27.3 22.32 29.59 23.05 21.56 39.45 29.58 33.46 35.49 39.86 29.58 26.55 34.96 28.49 27.96 27.44 32.29 25.77 26.79 23.47
27.46 22.32 31.95 25.84 36.01 21.44 24.39 27.45 22.62 26.92 21.51 19.2 25.1 26.39 30.41 26.49 26.52 26.62 26.54 27.44 25.77 25.09 27.17 25.06 25.81 22.13 30.7
31.95 36.15 33.28 31.01 30.56 25.81 28.29 30.52 24.39 29.05 20.24 21.12 29.94 24.25 27.11 22.54 24.27 24.39 32.49 32.09 27.9 39.15 34.66 26.63 28.05 24.39
28.49 28.27 25.85 30.7 28.61 30.15 33.36 28.13 27.9 25.81 27.66 33.94 33.36 30.69 26.52 23.3 35.24 17.43 22.36 25.08 21.1 37.3 28.8 27.27 26.59 31.73 22.69
24.05 26.09 32.55 22.32 24.27 31.7 27.36 28.17 27.41 34.45 33.22 38.65 21.25 25.08 31.62 31.57 23.63 28 28.3 27.45 21.59 26.32 30.71 23.09 21.44 28.24 30.7
26.54 35.74 28.13 18.98 30.69 27.45 32.27 25.63 28.13 22.24 39.55 25.75 25.85 26.79 31.41 25.09 34.23 26.39 27.22 25.82 22.61 34.33 30.81 27.22

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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