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Allisa [31]
3 years ago
6

Consider the following problem: The box fill weight of Frosted Flakes breakfast cereal follows a normal distribution with a mean

of 9.75 ounces and a standard deviation of 0.27 ounces. A sample of 25 boxes filled this morning showed a mean of 9.85 ounces. At the 0.05 significance level, can we conclude that the mean weight is more than 9.75 ounces per box
Mathematics
1 answer:
insens350 [35]3 years ago
3 0

Answer:

Yes, we can

Step-by-step explanation:

H0 : μ = 9.75

H1 : μ > 9.75

n = 25 ; xbar = 9.85 ; σ = 0.27

The test statistic:

T = (xbar - μ) ÷ (σ / √n)

T = (9.85 -9.75) ÷ (0.27 ÷ √25)

T = 0.1 ÷ 0.054

T = 1.85

We can obtain the Pvalue from the test statistic using the Pvalue calculator :

Pvalue at t score = 1.85 ; 24 = 0.038

If Pvalue < α ; Reject H0

α = 0.05

Since Pvalue < α ; We reject H0 and conclude that mean weight is more than 9.75 ounces per box

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What is the fourth term of the binomial expansion for (3x-2y)6
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3 years ago
12-sqrt(-8)<br> Complex number notation
andrey2020 [161]

Answer:

The complex number notation of  12-sqrt(-8) is 12 - 2.828i

Step-by-step explanation:

Given:

12-sqrt(-8)

To Find:

The  complex number notation of 12-sqrt(-8)

Solution:

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substituting  (2) in (1)

we get

=>  2 \cdot \sqrt {2} \cdot i

=>  2i \cdot \sqrt {2}

=>  2i \cdot 1.414

=> 2.828i

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3 years ago
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