To investigate the fluid mechanics of swimming, twenty swimmers each swam a specified distance in a water-filled pool and in a pool where the water was thickened with food grade guar gum to create a syrup-like consistency. Velocity, in meters per second, was recorded and the results are given in the table below. Swimmer Velocity (m/s) Water Guar Syrup 1 0.90 0.93 2 0.92 0.98 3 1.00 0.95 4 1.10 1.14 5 1.20 1.23 6 1.25 1.23 7 1.25 1.28 8 1.30 1.30 9 1.35 1.34 10 1.40 1.42 11 1.40 1.44 12 1.50 1.53 13 1.65 1.59 14 1.70 1.70 15 1.75 1.80 16 1.80 1.78 17 1.80 1.84 18 1.85 1.86 19 1.90 1.89 20 1.95 1.95 The researchers concluded that swimming in guar syrup does not change mean swimming speed. Are the given data consistent with this conclusion? Carry out a hypothesis test using a 0.01 significance level. (Use μd = μwater − μguar syrup.) Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t= ? P-value=
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.
| Swimmer | Velocity (m/s) | |
|---|---|---|
| Water | Guar Syrup | |
| 1 | 0.90 | 0.93 |
| 2 | 0.92 | 0.98 |
| 3 | 1.00 | 0.95 |
| 4 | 1.10 | 1.14 |
| 5 | 1.20 | 1.23 |
| 6 | 1.25 | 1.23 |
| 7 | 1.25 | 1.28 |
| 8 | 1.30 | 1.30 |
| 9 | 1.35 | 1.34 |
| 10 | 1.40 | 1.42 |
| 11 | 1.40 | 1.44 |
| 12 | 1.50 | 1.53 |
| 13 | 1.65 | 1.59 |
| 14 | 1.70 | 1.70 |
| 15 | 1.75 | 1.80 |
| 16 | 1.80 | 1.78 |
| 17 | 1.80 | 1.84 |
| 18 | 1.85 | 1.86 |
| 19 | 1.90 | 1.89 |
| 20 | 1.95 | 1.95 |
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