Q1 The owner of the ABC garment is interested to study the wastage of the factory. Factory is running in two shifts (morning and evening). The value of the monthly wastage of the material shift wise is given in the data file. The manager told to the owner that on average, the value of monthly (both shifts) wastage is Rs. 4500. The owner feels that the wastage is more than the value which is communicated by the manager; therefore, he gives the data of the last few months (given below) to you as statistician and assigns the following three tasks: Morning Shift 4227 4489 4417 4392 3943 3970 4405 4990 4444 4405 4398 4152 Evening Shift 3366 2964 3043 3804 3721 3675 3504 3236 3955 3420 Task # 1: To test the manager’s claim at 0.05 level of significance. Task # 2: To test the equality of mean wastage in two shifts, assume the variances are equal at 0.05 level of significance. Task # 3: To test the equality of variances of wastage during the two shifts, at 0.1 level of significance.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Q1 The owner of the ABC garment is interested to study the wastage of the factory. Factory is running in two shifts (morning and evening). The value of the monthly wastage of the material shift wise is given in the data file. The manager told to the owner that on average, the value of monthly (both shifts) wastage is Rs. 4500.
The owner feels that the wastage is more than the value which is communicated by the manager; therefore, he gives the data of the last few months (given below) to you as statistician and assigns the following three tasks:
|
Morning Shift |
4227 |
4489 |
4417 |
4392 |
3943 |
3970 |
4405 |
4990 |
4444 |
4405 |
4398 |
4152 |
|
Evening Shift |
3366 |
2964 |
3043 |
3804 |
3721 |
3675 |
3504 |
3236 |
3955 |
3420 |
|
|
- Task # 1: To test the manager’s claim at 0.05 level of significance.
- Task # 2: To test the equality of mean wastage in two shifts, assume the variances are equal at 0.05 level of significance.
- Task # 3: To test the equality of variances of wastage during the two shifts, at 0.1 level of significance.
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