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pashok25 [27]
3 years ago
7

Determine whether the results below appear to have statistical significance, and also determine whether the results have practic

al significance.
In a study of a weight loss program, 5 subjects lost an average of 50 lbs. It is found that there is about 28% chance of getting such results with a diet that has no effect.

Part A. Does the weight loss program have statistical significance?

a. No, the program is not statistically significant because the results are likely to occur by chance.

b. Yes, the program is statistically significant because the results are unlikely to occur by chance.

c. No, the program is not statistically significant because the results are unlikely to occur by chance.

d. Yes, the program is statistically significant because the results are likely to occur by chance.

PART B. Does the weight loss program have practical significance?

a. Yes, the program is practically significant because the results are too unlikely to occur by chance.

b. No, the program is not practically significant because the amount of weight lost is trivial.

c. No, the program is not practically significant because the results are likely to occur even if the weight loss program has no effect.

d. Yes, the program is practically significant because the amount of lost weight is large enough to be considered practically significant.
Mathematics
1 answer:
Degger [83]3 years ago
6 0

Answer:

A:   d. Yes, the program is statistically significant because the results are likely to occur by chance.

B: d. Yes, the program is practically significant because the amount of lost weight is large enough to be considered practically significant.

Step-by-step explanation:

A likely event is the one which is likely to occur or show the same results.

An unlikely event is one in which there's a chance of not getting the desired result or may not show the same results.

In the given scenario the program is statistically significant because even if the 28 % results occur likely by chance the rest  72 % will show some desired results.

In part B the program is statistically practical as the remaining 72 % represent a significant stats.

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The number of bagels and coffee sold by a bagel shop yesterday can be modeled using the equation b+c=84. Their sales for the sam
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Answer:

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Step-by-step explanation:

Let us solve the question

∵ The number of bagels and coffee sold by a bagel shop yesterday

   can be modeled using the equation b + c = 84

∴ b + c = 84 ⇒ (1)

∵ Their sales for the same day can be modeled using the equation

   2b + c = 145

∴ 2b + c = 145 ⇒ (2)

Let us solve the system of equations using substitution

→ Subtract the two sides of equation (1) by b to find c in terms of b

∵ b - b + c = 84 - b

∴ c = 84 - b ⇒ (3)

→ Substitute c in equation (2) by equation (3)

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→ Add the like terms on the left side

∴ (2b - b) + 84 = 145

∴ b + 84 = 145

→ Subtract 84 from both sides

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∴ b = 61

→ Substitute the value of b in equation (3) to find c

∵ c = 84 - 61

∴ c = 23

∴ There were 61 bagels and 23 coffee sold.

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