Fitness experts advise people who want to lose weight to drink protein shakes after workout sessions, because it helps build muscle mass and speeds up the weight-loss process. To test the effectiveness of protein shakes in losing weight, 200 adults between the ages of 25 and 40 years were divided equally into two groups: a treatment group and a control group. The treatment group was asked to drink a protein shake after every workout session for a period of 6 months. The subjects’ weights were noted before and after the treatment.

The results showed that the mean change in the amount of weight lost by the treatment group is 8 points more than that of the control group. To test whether the results could be explained by random chance, researchers created a table that summarizes the results of 1,000 re-randomizations of the data with differences of means rounded to the nearest 2 points.

Consider the significance level to be set at 5%, so results less than 5% can be considered statistically significant.

Treatment Group Mean − Control Group Mean Frequency
-12 1
-10 10
-8 28
-6 58
-4 125
-2 184
0 201
2 186
4 114
6 57
8 26
10 8
12 2

Determine the probability of the treatment group’s mean being greater than the control group’s mean by 8 points or more.

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People drink protein shakes for multiple reasons, including muscle gain, weight loss, and injury recovery.

While many foods provide you with a lot of protein — such as eggs, meat, poultry, milk, and legumes — protein shakes and powders have become a popular, high-quality source of this nutrient.

If you wonder whether these shakes will give you the results you want, you’re not alone.

This article focuses on the effectiveness of protein shakes for muscle gain and weight loss.

Protein shakes are a dietary supplement

According to the Food and Drug Administration (FDA), dietary supplements are products that contain a dietary ingredient, such as vitamins, minerals, amino acids, and herbs (1Trusted Source).

In this case, protein shakes provide amino acids, also known as the building blocks of proteins.

Dietary supplements come in many forms, from powders to capsules to liquids. While you may find ready-to-drink protein shakes in liquid form, you can also purchase protein supplements in powder form.

Many types of powdered protein supplements are available from either animal- or plant-based sources.

For instance, the most popular animal-based protein powders are whey and casein, both usually derived from cow’s milk. However, if you have a milk allergy, egg white protein may be a suitable choice.

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step-by-step explanation:

b. x- 48 =120

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