One question with sub-parts answers all parts step by step please. thank you! ? A machine in the student lounge dispenses coffee. The average cup of coffee is supposed to contain 7.0 ounces. A random sample of twelve cups of coffee from this machine show the average content to be 7.3 ounces with a standard deviation of 0.60ounce. Do you think that the machine has slipped out of adjustment and that the average amount of coffee per cup is different from 7 ounces? Use a 5% level of significance.n USE SALTWhat are we testing in this problem?O single proportionsingle mean(a) What is the level of significance?State the null and alternate hypotheses.O Ho: p = 7; H1: p + 7Ho: H = 7; H1: u # 7O Ho: P = 7; H1: p < 7O Ho: H = 7; H1:H> 7O Ho: p = 7; H: p > 7O Ho: H = 7; H1: µ < 7(b) What sampling distribution will you use? What assumptions are you making?O The standard normal, since we assume that x has a normal distribution with known o.O The Student's t, since n is large with unknown o.O The standard normal, since we assume that x has a normal distribution with unknown o.The Student's t, since we assume that x has a normal distribution with unknown o.What is the value of the sample test statistic? (Round your answer to three decimal places.)(c) Find (or estimate) the P-value.O P-value > 0.500O 0.250 < P-value < 0.500O 0.100 < P-value < 0.250O 0.050 < P-value < 0.100O 0.010 < P-value < 0.050P-value < 0.010Sketch the sampling distribution and show the area corresponding to the P-value. -24-4-24-24-2(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.(e) Interpret your conclusion in the context of the application.O There is sufficient evidence at the 0.05 level to conclude that the mean amount of coffee per cup differs from 7 ounces.O There is insufficient evidence at the 0.05 level to conclude that the mean amount of coffee per cup differs from 7 ounces.

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Description: One question with sub-parts answers all parts step by step please. thank you! ? A machine in the student lounge dispenses coffee. The average cup of coffee is supposed to contain 7.0 ounces. A random sample of twelve cups of coffee from this machine

The sample size is 12, sample mean is 7.3 ounces, and sample standard deviation is 0.60. The claim…

Math

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A machine in the student lounge dispenses coffee. The average cup of coffee is supposed to contain 7.0 ounces. A random sample of twelve cups of coffee from this machine show the average content to be 7.3 ounces with a standard deviation of 0.60 ounce. Do you think that the machine has slipped out of adjustment and that the average amount of coffee per cup is different from 7 ounces? Use a 5% level of significance.

A machine in the student lounge dispenses coffee. The average cup of coffee is supposed to contain 7.0 ounces. A random sample of twelve cups of coffee from this machine show the average content to be 7.3 ounces with a standard deviation of 0.60 ounce. Do you think that the machine has slipped out of adjustment and that the average amount of coffee per cup is different from 7 ounces? Use a 5% level of significance.

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.

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Question

One question with sub-parts answers all parts step by step please. thank you! ?

A machine in the student lounge dispenses coffee. The average cup of coffee is supposed to contain 7.0 ounces. A random sample of twelve cups of coffee from this machine show the average content to be 7.3 ounces with a standard deviation of 0.60
ounce. Do you think that the machine has slipped out of adjustment and that the average amount of coffee per cup is different from 7 ounces? Use a 5% level of significance.
n USE SALT
What are we testing in this problem?
O single proportion
single mean
(a) What is the level of significance?
State the null and alternate hypotheses.
O Ho: p = 7; H1: p + 7
Ho: H = 7; H1: u # 7
O Ho: P = 7; H1: p < 7
O Ho: H = 7; H1:H> 7
O Ho: p = 7; H: p > 7
O Ho: H = 7; H1: µ < 7
(b) What sampling distribution will you use? What assumptions are you making?
O The standard normal, since we assume that x has a normal distribution with known o.
O The Student's t, since n is large with unknown o.
O The standard normal, since we assume that x has a normal distribution with unknown o.
The Student's t, since we assume that x has a normal distribution with unknown o.
What is the value of the sample test statistic? (Round your answer to three decimal places.)
(c) Find (or estimate) the P-value.
O P-value > 0.500
O 0.250 < P-value < 0.500
O 0.100 < P-value < 0.250
O 0.050 < P-value < 0.100
O 0.010 < P-value < 0.050
P-value < 0.010
Sketch the sampling distribution and show the area corresponding to the P-value.

-2
4
-4
-2
4
-2
4
-2
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
(e) Interpret your conclusion in the context of the application.
O There is sufficient evidence at the 0.05 level to conclude that the mean amount of coffee per cup differs from 7 ounces.
O There is insufficient evidence at the 0.05 level to conclude that the mean amount of coffee per cup differs from 7 ounces.

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