I am producing 400-gram loaf breads in one of my production lines and measured the weights of 28 loaf breads from the same batch as shown in table below. (*see attached image for the table.) N. If the data set above is assumed to be a population set and samples of size 4 will be chosen randomly from this population with replacement. What will be the standard error of the mean? O. If I will do the same thing from (N) except that it is sampled without replacement, what will be the sample variance? P. If in (N) I would like to limit the standard error of the mean to be no more than 6 grams, what is the minimum sample size?
I am producing 400-gram loaf breads in one of my production lines and measured the weights of 28 loaf breads from the same batch as shown in table below. (*see attached image for the table.) N. If the data set above is assumed to be a population set and samples of size 4 will be chosen randomly from this population with replacement. What will be the standard error of the mean? O. If I will do the same thing from (N) except that it is sampled without replacement, what will be the sample variance? P. If in (N) I would like to limit the standard error of the mean to be no more than 6 grams, what is the minimum sample size?
I am producing 400-gram loaf breads in one of my production lines and measured the weights of 28 loaf breads from the same batch as shown in table below. (*see attached image for the table.) N. If the data set above is assumed to be a population set and samples of size 4 will be chosen randomly from this population with replacement. What will be the standard error of the mean? O. If I will do the same thing from (N) except that it is sampled without replacement, what will be the sample variance? P. If in (N) I would like to limit the standard error of the mean to be no more than 6 grams, what is the minimum sample size?
7. I am producing 400-gram loaf breads in one of my production lines and measured the
weights of 28 loaf breads from the same batch as shown in table below. (*see attached image for the table.)
N. If the data set above is assumed to be a population set and samples of size 4 will be chosen randomly from this population with replacement. What will be the standard error of the mean?
O. If I will do the same thing from (N) except that it is sampled without replacement, what will be the sample variance?
P. If in (N) I would like to limit the standard error of the mean to be no more than 6 grams, what is the minimum sample size?
Transcribed Image Text:7. I am producing 400-gram loaf breads in one of my production lines and measured the
weights of 28 loaf breads from the same batch as shown in table below.
400
402
390
405
387
408
400
399
401
394
403
402
412
409
411
388
397
400
394
406
407
389
413
396
398
405
403
397
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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