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Ad libitum [116K]
1 year ago
7

Brand Y Cola sponsors a survey of 15,559 residents of Texas to determine which brand of cola they prefer. Forty percent say they

prefer Brand X, and 60 percent say they prefer Brand Y. Which of the following is the population sample?
a. the residents of Texas
b.the 15,559 residents
c.the 40 percent who prefer Brand X Cola
d.the 60 percent who prefer Brand Y Cola
Mathematics
2 answers:
patriot [66]1 year ago
7 0
Your answer will be (B. the 15,559 residents) 
the population sample is the whole group all together. 
Degger [83]1 year ago
5 0

<u>"Brand Y Cola sponsors a survey of </u><u>15,559 residents of Texas</u><u> to determine which brand of cola they prefer."</u>

Look at the bold part of the sentence above.

The sample taken is those specific 15,559 residents that are from Texas, NOT the whole population of Texas, just some sample.

So, that specific 15,559 residents are the sample. Answer choice B is correct.


ANSWER: B

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A process that produces bottles of shampoo, when operating correctly, produces bottles whose contents weight, on average, 20 oun
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Answer:

a. Descriptive statistics for the sample.

n= 9

mean X[bar]= 20.36

median Me= 20.30

min: 19.70

max: 21.40

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b. 95% Confidence interval [19.88; 20.83]

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Step-by-step explanation:

Hello!

I don't have excel so I cannot install PHstat, I've used a statistic software called Infostat for the calculations.

There was a random sample of 9 bottles of shampoo taken to test if the process is operating correctly. If it is, the bottles should weight on average 20 ounces (this would be our study parameter)

The study variable is X: the weight of a bottle of shampoo.

X~N(μ;σ²)

a.

Descriptive statistics for the sample.

n= 9

mean X[bar]= 20.36

median Me= 20.30

min: 19.70

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standad deviation S= 0.61

b. 95% Confidence interval.

Since the variable has a normal distribution and the population variance is unknown, the statistic to use to construct this interval is the Students t:

X[bar] ± t_{n-1; 1- \alpha /2} * (S/√n)

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H₀: μ = 20

H₁: μ ≠ 20

α: 0.05

The statistic value is t_{H0}= 1.74

p-value: 0.1198

When you use the p-value to decide on a statistical hypothesis, you should always contrast it with the level of significance using the following rule:

If p-value ≤ α, then you reject the null hypothesis.

If p-value > α, then you do not reject the null hypothesis.

Since the p-value is greater than the significance level, you do not reject the null hypothesis. This means that the average weight of the shampoo bottles is 20 ounces, i.e. the process is operating correctly.

I hope it helps!

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