HSC Commerce इयत्ता १२ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

A machine is set to deliver packets of a given weight. Ten samples of size five each were recorded. Below are given relevant data:

Calculate the control limits for mean chart and the range chart and then comment on the state of control, (conversion factors for n = 5, A₂ = 0.58, D₃ = 0 and D₄ = 2.115)

Ten samples each of size five are drawn at regular intervals from a manufacturing process. The sample means `(bar"X")` and their ranges (R) are given below:

Calculate the control limits in respect of `bar"X"` chart. (Given A₂ = 0.58, D₃ = 0 and D₄ = 2.115) Comment on the state of control

Construct `bar"X"` and R charts for the following data:

(Given for n = 3, A₂ = 1.023, D₃ = 0 and D₄ = 2.574)

The following data show the values of sample mean `(bar"X")` and its range (R) for the samples of size five each. Calculate the values for control limits for mean, range chart and determine whether the process is in control.

(conversion factors for n = 5, A₂ = 0.58, D₃ = 0 and D₄ = 2.115)

A quality control inspector has taken ten samples of size four packets each from a potato chips company. The contents of the sample are given below, Calculate the control limits for mean and range chart.

(Given for n = 5, A₂ = 0.58, D₃ = 0 and D₄ = 2.115)

The following data show the values of sample means and the ranges for ten samples of size 4 each. Construct the control chart for mean and range chart and determine whether the process is in control.

In a production process, eight samples of size 4 are collected and their means and ranges are given below. Construct mean chart and range chart with control limits.

In a certain bottling industry the quality control inspector recorded the weight of each of the 5 bottles selected at random during each hour of four hours in the morning.

Choose the correct alternative:

The quantities that can be numerically measured can be plotted on a

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How many causes of variation will affect the quality of a product?

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Variations due to natural disorder is known as

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The assignable causes can occur due to

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A typical control charts consists of

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`bar"X"` chart is a

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R is calculated using

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The upper control limit for `bar"X"` chart is given by

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The LCL for R chart is given by

From the following data, calculate the control limits for the mean and range chart.

The following data gives the average life(in hours) and range of 12 samples of 5lamps each. The data are

Construct control charts for mean and range. Comment on the control limits.

The following are the sample means and I ranges for 10 samples, each of size 5. Calculate; the control limits for the mean chart and range chart and state whether the process is in control or not.