During a particular week, 14 babies were born in a maternity unit. Part of the standard procedure is to measure the length of the baby. Given below is a list of the lengths, in centimeters, of the babies born in this particular week. 49 50 45 51 47 49 48 45 50 48 54 53 55 51
During a particular week, 14 babies were born in a maternity unit. Part of the standard procedure is to measure the length of the baby. Given below is a list of the lengths, in centimeters, of the babies born in this particular week. 49 50 45 51 47 49 48 45 50 48 54 53 55 51
During a particular week, 14 babies were born in a maternity unit. Part of the standard procedure is to measure the length of the baby. Given below is a list of the lengths, in centimeters, of the babies born in this particular week. 49 50 45 51 47 49 48 45 50 48 54 53 55 51
Assuming that this sample came from an underlying normal population, test the hypothesis that the population mean = 50 vs population mean < 50. Use 0.05 level of significance
- Sample mean - Sample Standard Deviation - Sample size - Test Statistic - Value of Test Statistic - Critical Region - P-value - Decision (Reject or Fail to Reject) - Conclusion
Please include your calculations
Transcribed Image Text:During a particular week, 14 babies were born in a maternity unit. Part of the standard
procedure is to measure the length of the baby. Given below is a list of the lengths, in
centimeters, of the babies born in this particular week.
49
50
45
51
47
49
48
45
50
48
54
53
55
51
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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