Question

Name Practice 4. Quiz 4 For the problems below, determine if data collection is Matched Pairs or Independent Samples 1 The design of controls and instruments has a large effect on how easily people can use them. A student project investigated this effect by asking 25 right-handed students to turn a knob (with their right hands) that moved an indicator by screw action. There were two identical instruments, one with a right-hand thread (the knob turns dockwise) and the other with a left hand thread (the knob tums.counterclockwisel. The table below gives the times required fin seconds) to move the indicator In a recent study, 31 young adults were given $10 and randomly assigned either a sad or neutral group. The participants in the sad group watched video about the death of aboy's mentor (from The Champ), and those in the neutral group watched a video on the Great Barrier Reef. After the video, each participant was offered the chance to trade $0.50 increments of the $10 for an insulated water bottle. Here are the data: Purchase price (5) Neutral 0.00 2.00 0.00 0.00 0.50 0.00 0.50 2.00 1.00 0.00 0.00 0.00 0.00 1.00 Sad 3.00 4.00 0.50 1.00 2.50 2.00 1.50 0.00 1.00 1.50 1.50 2.50 4.00 3.00 3.50 1.00 3.50 GROUP Right Right Left Subject thread thread TOL The following table summarizes the blood lipid leves, in milligrams per deciliter (mg/dl), of the participants broken down by gender. Analyze these data for gender differences? Females ( 71) Males ( 37) A driver wants to determine if his fuel efficiency calculations differ from what his car's computer estimates Fill-up Total cholesterol LDL HDL 173.70 96,38 61.62 34.79 29.78 13.75 171.81 109.44 46.47 33.24 31.05 7.94 1 2 3 4 8 9 10 Computer 41.5 507 36.6 37.3 34.2 45.0 48.0 432 47.7 42.2 Driver: 36.5 44.2 37.2 35.6 30.5 40.5 40.0 41.0 42.8 39.2 11 12 13 14 15 16 17 18 19 20 Computer: 43.2 44.6 48.4 464 46.8 39.2 373 43.5 443 43.3 Driver: 38.8 44.5 454 453 45.7 34.2 35.2 39.8 449 47.5 Fill up:

Answer 1

Please find the answers below the screenshots of the questions respectively.

(a)

The design of controls and instruments has a large effect on how easily people can use them. A student project investigated this effect by asking 25 gt-handed students to turn a knob (with their right hands) that moved an indicator by screw action. There were two identical instruments, one with a right-hand thread (the knob turns dockwise) and the other with a left hand thread (the knob tums counterclockwise). The table below gives the times required fin seconds) to move the indicator Right Left Subject thread thread Subject thread thread 113 105 130 Time rer 101

Here, the readings are the time taken by the same student to move the indicator, one on left hand thread and the other on right hand thread instrument. Since the readings belong to same student, it is affected by the student's performance, i.e., they are dependent and hence represent a paired sample.

(b)

The following table summarizes the blood lipid levek, in miligrams per deciliter (mg/d, of the participants broken down by gender. Analyze these data for pender differences? Females ( 71) Males ( 37) Total cholesterol LDL HDL 173.70 96.38 61.62 34.79 29.78 13.75 171.81 109,44 46.47 33.24 31.05 794

Here the data shows the blood lipid levels of two groups (- males and females) which are in no way related to each other. Therefore, this data represents an independent sample.

(c)

in recent study, 11 young adults were given 510 und randomly signed ether a sad or a neutral group. The participants in the sad group watched video bout the death of aboy's mentor (from The Champl. and those in the neutral group watched a video on the Great Barrier Reef. After the video, each participant was offered the chance to trade $0.50 increment of the $10 for an insulated water bottle. Here we the data: Group Purchase price (5) Neutral 0.00 2.00 0.00 0.00 0.50 0.00 0.50 2.00 1.00 0.00 0.00 0.00 0.00 1.00 Sad 3.00 4.00 0.50 1.00 2.50 2.00 1.50 0.00 1.00 1.50 1.50 2.50 4.00 3.00 3.50 1.00 3.50 ime

Here the two groups sad and neutral are not related to each other. the groups were assigned at random and the vedios were watched after this. Therefore this data represents an independent sample.

(d)

Adriver wants to determine if his fuel efficiency calculations differ fro what his car's computer estimates Fill-up 1 2 3 4 5 6 7 8 9 10 Computer 41,5 30,7 366 373 34.2 45.0 48.0 43.2 47.7 422 Driver 36,5 442 37.2 35.6 30.5 40.5 40.0 41.0 42.8 39.2 Fal 11 12 13 14 15 16 17 18 19 20 Computer 43:2 446 48.4 46.4 46.8 39.2 373 43.5 443 433

Here the data is collected from the car's driver and the car's computer. This means that the performance of the car is a common factor which affects the readings from both the groups. Therefore, this data represents a paired sample.