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Lady_Fox [76]
3 years ago
6

Use calculator to evaluate each expression. (PICTURE) round to nearest hundredth.​

Mathematics
1 answer:
adoni [48]3 years ago
4 0

Answer:

cos 85  = .09

tan 18 =.32

sin 41=.66

Step-by-step explanation:

cos 85 = .087155743 = .09

tan 18 =.324919696=.32

sin 41=.656059029=.66

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What is the volume of corn held in this cone-shaped grain silo? Use 3.14 for π and round to the nearest cubic foot.
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A broth used to manufacture a pharmaceutical product has its sugar content, in mg/mL, measured several times on each of three su
olga2289 [7]

Answer:

Step-by-step explanation:

Hello!

The study variable is:

Xi: sugar level of a broth used to manufacture a pharmaceutical product (mg/mL) measured in day Di

Where i= 1, 2, 3

a) Using a significance level of 5% you need to test if the variability of the process on day 1 is greater than the variability of the process on day 2

The parameter that measures the variability of a given variable is the population variance δ², so in this item, you have to compare both population variances to test if the claim is correct. You have to do an F-ratio test, using the Snedecor-F distribution:

H₀: δ₁² ≤ δ₂²

H₁: δ₁² > δ₂²

α: 0.05

F_{H_0}= \frac{S^2_1}{S^2_2} *\frac{Sigma^2_1}{Sigma^2_2} ~~F_{n_1-1; n_2-1}

This test is one-tailed to the right this means that you will reject the null hypothesis to high values of the statistic:

F_{n_1-1;n_2-1;1-\alpha }= F_{12;12;0.95}= 2.69

The rejection region is F ≥ 2.69.

Using software I've calculated both sample variances:

Day 1: S₁²= 0.02

Day 2: S₂²= 0.15

F_{H_0}= \frac{0.02}{0.15} * 1 = 0.13

Remember, this is an F-ratio test, under the null hypothesis we assume that δ₁²/δ₂²= 1 that is why I've replaced the variance ratio with 1.

b) The p-value for this test is:

P(F_{12;12} ≥ 0.13)= 1 - P(F_{12;12} < 0.13) = 1 - 0.0006= 0.9994

The p-value is greater than α, the decision is to not reject the null hypothesis.

I hope this helps!

3 0
3 years ago
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