A new industrial oven has just been installed at Piatt Bakery. To develop experience regarding the oven temperature, an inspector reads the temperature at four different places inside the oven each half hour starting at 8:00 a.m. The last reading was at 10:30 a.m., for a total of six samples. The first reading, taken at 8:00 a.m., was 340 degrees Fahrenheit. (Only the last two digits are given in the following table to make the computations easier.) ReadingTime12348:00 a.m.405055398:30 a.m.444238389:00 a.m.414547439:30 a.m.3939414110:00 a.m.3742464110:30 a.m.39403940 Click here for the Excel Data File a-1. On the basis of this initial experience, determine the control limits for the mean temperature. Determine the grand mean. (Round your answers to 2 decimal places.) A new industrial oven has just been installed at Piatt Bakery. To develop experience regarding the oven temperature, an inspectorreads the temperature at four different places inside the oven each half hour starting at 8:00 a.m. The last reading was at 10:30 a.m.,for a total of six samples. The first reading, taken at 8:00 a.m., was 340 degrees Fahrenheit. (Only the last two digits are given in thefollowing table to make the computations easier.)Time8:00 a.m.8:30 a.m.9:00 a.m.9:30 a.m.10:00 a.m.10:30 a.m.1404441393739ReadingGrand meanUCLLCL25042453942403555 803847414639Click here for the Excel Data File41.92439∞0 10a-1. On the basis of this initial experience, determine the control limits for the mean temperature. Determine the grand mean. (Roundyour answers to 2 decimal places.)3843414140

The six sample readings of the 4 different places are given as:

Answered: A new industrial oven has just been…

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A new industrial oven has just been installed at Piatt Bakery. To develop experience regarding the oven temperature, an inspector reads the temperature at four different places inside the oven each half hour starting at 8:00 a.m. The last reading was at 10:30 a.m., for a total of six samples. The first reading, taken at 8:00 a.m., was 340 degrees Fahrenheit. (Only the last two digits are given in the following table to make the computations easier.)

	Reading
Time	1	2	3	4
8:00 a.m.	40	50	55	39
8:30 a.m.	44	42	38	38
9:00 a.m.	41	45	47	43
9:30 a.m.	39	39	41	41
10:00 a.m.	37	42	46	41
10:30 a.m.	39	40	39	40

Click here for the Excel Data File

a-1. On the basis of this initial experience, determine the control limits for the mean temperature. Determine the grand mean. (Round your answers to 2 decimal places.)

A new industrial oven has just been installed at Piatt Bakery. To develop experience regarding the oven temperature, an inspector
reads the temperature at four different places inside the oven each half hour starting at 8:00 a.m. The last reading was at 10:30 a.m.,
for a total of six samples. The first reading, taken at 8:00 a.m., was 340 degrees Fahrenheit. (Only the last two digits are given in the
following table to make the computations easier.)
Time
8:00 a.m.
8:30 a.m.
9:00 a.m.
9:30 a.m.
10:00 a.m.
10:30 a.m.
1
40
44
41
39
37
39
Reading
Grand mean
UCL
LCL
2
50
42
45
39
42
40
3
55
5 80
38
47
41
46
39
Click here for the Excel Data File
41.92
4
39
∞0 10
a-1. On the basis of this initial experience, determine the control limits for the mean temperature. Determine the grand mean. (Round
your answers to 2 decimal places.)
38
43
41
41
40

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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