I need help with question 1, 2 and 9 plz. Make sure to anawer the questions correctly. Vitamins in Milk - Milk is a good source of many vitamins that can help us stay healthy. Regulatory agencies in the US suggest that skim milk shouldbe fortified with Vitamin A at the level of 600 micrograms per quart.A study in 2016 collected a sample of 33 skim milk bottles from a particular dairy and found the average vitamin A concentration was 606.7micrograms per quart with a standard deviation of 13.1 micrograms per quart.A medical researcher wants to determine if the mean vitamin A concentration in skim milk from this dairy is different from 600 micrograms per quart.1. Which set of hypotheses should be used for testing this claim?А. Но : и 3D 600 vs. Ha : и + 600оВ. Но : и — 606.7 vs. Ha: И + 606.7С. Но : и 3D 600 vs. Ha : и> 600D. Hо : и 3D 600 vs. Ha : и < 6002. Which of the following conditions must be met for the hypothesis test to be valid? Check all that apply.A. The sample measurements must be normally distributed.B. The sample size must be at least 30 or the population data must be normally distributed.|C. There must be at least 10 'successes' and 10 'failures' in the observed data.VD. Each observation must be independent of the observations in the data set.E. There must be count of at least 5 quarts of milk in each category.3. Calculate the test statistic:tV =2.93814. Calculate the p-value:p-value :0.00608 6. The results of this test indicate that we have Very Strongevidence against the null hypothesis and a moderate to largeeffectsize.A medical researcher wants to use this information to determine the sample size required to estimate the mean vitamin A concentration in skim milkfrom this dairy at 95% confidence with a margin of error of no more than 2.72 micrograms per quart using the following formula,t* •Sn = ()2МЕ7. What degrees of freedom should be used to calculate the t* multiplier for this scenario?df =328. What is the value of the t* multiplier you would substitute in the formula above? Round your answer to 3 decimal places.t* = 2.0379. What is the required sample size? Use the correct t* multiplier rounded to 3 decimal places in your calculation and give your answer as a wholenumber.n =33

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Vitamins in Milk ~ Milk is a good source of many vitamins that can help us stay healthy. Regulatory agencies in the US suggest that skim milk should be fortified with Vitamin A at the level of 600 micrograms per quart. A study in 2016 collected a sample of 33 skim milk bottles from a particular dairy and found the average vitamin A concentration was 606.7 micrograms per quart with a standard deviation of 13.1 micrograms per quart. A medical researcher wants to determine if the mean vitamin A concentration in skim milk from this dairy is different from 600 micrograms per quart.

Vitamins in Milk ~ Milk is a good source of many vitamins that can help us stay healthy. Regulatory agencies in the US suggest that skim milk should be fortified with Vitamin A at the level of 600 micrograms per quart. A study in 2016 collected a sample of 33 skim milk bottles from a particular dairy and found the average vitamin A concentration was 606.7 micrograms per quart with a standard deviation of 13.1 micrograms per quart. A medical researcher wants to determine if the mean vitamin A concentration in skim milk from this dairy is different from 600 micrograms per quart.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

Topic Video

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I need help with question 1, 2 and 9 plz. Make sure to anawer the questions correctly.

Vitamins in Milk - Milk is a good source of many vitamins that can help us stay healthy. Regulatory agencies in the US suggest that skim milk should
be fortified with Vitamin A at the level of 600 micrograms per quart.
A study in 2016 collected a sample of 33 skim milk bottles from a particular dairy and found the average vitamin A concentration was 606.7
micrograms per quart with a standard deviation of 13.1 micrograms per quart.
A medical researcher wants to determine if the mean vitamin A concentration in skim milk from this dairy is different from 600 micrograms per quart.
1. Which set of hypotheses should be used for testing this claim?
А. Но : и 3D 600 vs. Ha : и + 600
оВ. Но : и — 606.7 vs. Ha: И + 606.7
С. Но : и 3D 600 vs. Ha : и> 600
D. Hо : и 3D 600 vs. Ha : и < 600
2. Which of the following conditions must be met for the hypothesis test to be valid? Check all that apply.
A. The sample measurements must be normally distributed.
B. The sample size must be at least 30 or the population data must be normally distributed.
|C. There must be at least 10 'successes' and 10 'failures' in the observed data.
VD. Each observation must be independent of the observations in the data set.
E. There must be count of at least 5 quarts of milk in each category.
3. Calculate the test statistic:
t
V =
2.9381
4. Calculate the p-value:
p-value :
0.00608

6. The results of this test indicate that we have Very Strong
evidence against the null hypothesis and a moderate to large
effect
size.
A medical researcher wants to use this information to determine the sample size required to estimate the mean vitamin A concentration in skim milk
from this dairy at 95% confidence with a margin of error of no more than 2.72 micrograms per quart using the following formula,
t* •S
n = ()2
МЕ
7. What degrees of freedom should be used to calculate the t* multiplier for this scenario?
df =
32
8. What is the value of the t* multiplier you would substitute in the formula above? Round your answer to 3 decimal places.
t* = 2.037
9. What is the required sample size? Use the correct t* multiplier rounded to 3 decimal places in your calculation and give your answer as a whole
number.
n =
33

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