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Zepler [3.9K]
2 years ago
5

I need help on a math problem

Mathematics
1 answer:
timofeeve [1]2 years ago
5 0
What is the problem?

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Bottles of mango juice are assumed to contain 275 milliliters of juice. There is some variation from bottle to bottle because th
pentagon [3]

Answer:

Step-by-step explanation:

The mean of the set of data given is

Mean = (275.4 + 276.8 + 273.9 + 275.0 + 275.8 + 275.9 + 276.1)/7 = 275.56

Standard deviation = √(summation(x - mean)^2/n

n = 7

Summation(x - mean)^2 = (275.4 - 275.56)^2 + (276.8 - 275.56)^2 + (273.9 - 275.56)^2 + (275.0 - 275.56)^2 + (275.8 - 275.56)^2 + (275.9 - 275.56)^2 + (276.1 - 275.56)^2 = 5.0972

Standard deviation = √(5.0972/7) = 0.85

We would set up the hypothesis test.

For the null hypothesis,

µ = 275

For the alternative hypothesis,

µ ≠ 275

This is a 2 tailed test.

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 7

Degrees of freedom, df = n - 1 = 7 - 1 = 6

t = (x - µ)/(s/√n)

Where

x = sample mean = 275.56

µ = population mean = 275

s = samples standard deviation = 0.85

t = (275.56 - 275)/(0.85/√7) = 1.74

We would determine the p value using the t test calculator. It becomes

p = 0.132

Because the p-value of 0.132 is greater than the significance level of 0.05, we would fail to reject the null hypothesis. We conclude the data does not provide convincing evidence that the mean amount of juice in all the bottles filled that day differs from the target value of 275 milliliters.

8 0
3 years ago
What is 4w to the power of -3 divided by 3 to the power of -2+ w to the power of 7 + x to the power of -2
Sindrei [870]

Answer:

idk this stuff yet

Step-by-step explanation:

3 0
2 years ago
Write 2 1/16 as a decimal
devlian [24]

Answer:

2.0625

Step-by-step explanation:

2+1/16

= 2.0625

= 206.25%

6 0
2 years ago
Read 2 more answers
Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′:
Gemiola [76]

Answer:

Length of AB = Length of C′D′

Length of CD = Length of B′C′

Step-by-step explanation:

Not sure but I think

8 0
2 years ago
Read 2 more answers
Which of the following expressions are equivalent? Justify your reasoning.. . a.4√x3. . 1. x−1. . b.10√x5•x4•x2. . c.x. 1. 3. •x
sladkih [1.3K]
A ) \sqrt[4]{ x^{3} } = x^{3/4}
B ) \frac{1}{ x^{-1} } = x
C ) \sqrt[10]{ x^{5} * x^{4}* x^{2}  } = \sqrt[10]{ x^{11} }= x^{11/10}
D ) x^{1/3} * x^{1/3} * x^{1/3} = x
Therefore: B = D
7 0
3 years ago
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