According the World Health Organization, the Body Mass Index (BMI=Weight in Kilograms/Height in Meters^2) of a healthy 5-year old girl is 15. After Palmyra, Syria, got liberated from the Islamic State, the World Food Program asks you to conduct an early assessment situation of the nutritional situation in Palmyra. You measure the height and weight of a random sample of 225 five-year old girls and obtain a sample BMI average of �¯=14.5785 and a sample standard deviation of s=2.25. Test at �=0.01 the hypothesis that the children of Palmyra are undernourished as measured by the BMI. Why would you use a low alpha? A To minimize the probability to make a Type I error B To minimize the probability to make a Type II error C Because this is what researchers typically use D None of the above What is your H0? A: =13 B: =14 C: =15 D: none of the above What is your HA? A: <15 B: >= 15 C: =/ 15 D: none of the above
According the World Health Organization, the Body Mass Index (BMI=Weight in Kilograms/Height in Meters^2) of a healthy 5-year old girl is 15. After Palmyra, Syria, got liberated from the Islamic State, the World Food Program asks you to conduct an early assessment situation of the nutritional situation in Palmyra. You measure the height and weight of a random sample of 225 five-year old girls and obtain a sample BMI average of �¯=14.5785 and a sample standard deviation of s=2.25. Test at �=0.01 the hypothesis that the children of Palmyra are undernourished as measured by the BMI. Why would you use a low alpha? A To minimize the probability to make a Type I error B To minimize the probability to make a Type II error C Because this is what researchers typically use D None of the above What is your H0? A: =13 B: =14 C: =15 D: none of the above What is your HA? A: <15 B: >= 15 C: =/ 15 D: none of the above
According the World Health Organization, the Body Mass Index (BMI=Weight in Kilograms/Height in Meters^2) of a healthy 5-year old girl is 15. After Palmyra, Syria, got liberated from the Islamic State, the World Food Program asks you to conduct an early assessment situation of the nutritional situation in Palmyra. You measure the height and weight of a random sample of 225 five-year old girls and obtain a sample BMI average of �¯=14.5785 and a sample standard deviation of s=2.25. Test at �=0.01 the hypothesis that the children of Palmyra are undernourished as measured by the BMI. Why would you use a low alpha? A To minimize the probability to make a Type I error B To minimize the probability to make a Type II error C Because this is what researchers typically use D None of the above What is your H0? A: =13 B: =14 C: =15 D: none of the above What is your HA? A: <15 B: >= 15 C: =/ 15 D: none of the above
According the World Health Organization, the Body Mass Index (BMI=Weight in Kilograms/Height in Meters^2) of a healthy 5-year old girl is 15. After Palmyra, Syria, got liberated from the Islamic State, the World Food Program asks you to conduct an early assessment situation of the nutritional situation in Palmyra. You measure the height and weight of a random sample of 225 five-year old girls and obtain a sample BMI average of �¯=14.5785 and a sample standard deviation of s=2.25. Test at �=0.01 the hypothesis that the children of Palmyra are undernourished as measured by the BMI.
Why would you use a low alpha?
A
To minimize the probability to make a Type I error
B
To minimize the probability to make a Type II error
C
Because this is what researchers typically use
D
None of the above
What is your H0?
A: =13
B: =14
C: =15
D: none of the above
What is your HA?
A: <15
B: >= 15
C: =/ 15
D: none of the above
The question requires you to conduct a _____ -tailed test.
A: one
B: two
C: three
Given the sample size of n=225, you can work with the _____ -table.
A: F
B: Z
C: T
D: X^2
How many standard errors away from the hypothesized healthy population mean of BMI=15 would the sample mean of �¯=14.5785 have to be away for you to reject the null hypothesis at the �=0.01 significance level.
A:
-2.81
B:
+2.81
C:
-2.325
D:
+2.325
How many standard errors away from the hypothesized healthy population mean of 15 is the sample mean of �¯=14.5785 ?
Using the correct statistical language, what do you find?
A:
You accept the alternative
B:
You reject the null
C:
You fail to reject the null
D:
You accept the null
What's the probability that you made a Type I error?
A:
Half a percent
B:
A quarter of a percent
C:
Three quarters of a percent
D:
There is no Type I Error
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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