5 step procedure for a hypothesis test ## Example: Quarters- The U.S. Department of Treasury claims the mean mass of a quarter is 5.670 grams.- A simple random sample (SRS) of 50 quarters has a mean mass of 5.652 grams and a standard deviation of 0.068 grams.- Test the claim that the mean mass of quarters in circulation is 5.670 grams at a significance level of α = 0.10.### ExplanationTo test the claim, a hypothesis test can be conducted. The null hypothesis (H0) would state that the mean mass is 5.670 grams, while the alternative hypothesis (H1) would suggest that the mean mass is different from 5.670 grams. The significance level (α = 0.10) indicates the probability of rejecting the null hypothesis when it is actually true.

Answered: The U.S. Dept. of Treasury claims the…

Math

Statistics

The U.S. Dept. of Treasury claims the mean mass of a quarter is 5.670 g.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Label the hypothesis as null or alternative Eating frequent family dinners has no effect on school…

A: Here the hypothesis test is conducted to see relationship between Eating family dinners and school…

Q: What are appropriate conditions to conduct a hypothesis test?

A: Hypotheses: Hypotheses is the plural form for hypothesis. Hypothesis is a statement about the…

Q: What is/are the difference/s between a one-sided hypothesis and a two-sided hypothesis?

A: Differentiate the two sided and one sided hypothesis.

Q: Create a meme about concepts in hypothesis testing such as hypothesis, test statistic, or rejection…

A: Answer: Hypothesis test rejection region- rejection region is called critical region if the…

Q: Stating the hypothesis should be the first step used in hypothesis testing. O False True

A: Following are the main steps of hypothesis testing: State the null and alternative hypotheses.…

Q: For each hypothesis test please provide the claim, H₁, Ho, critical value, test statistic and…

Q: Suppose you wish to find out the answer to the age-old question, "Do people prefer Cola 1 or Cola…

A: Confidence interval for true population proportion, can be constructed by using the below defined…

Q: Give an example on how to use inferential statistical test (z-test or t-test) in your field of…

A: Example on z-test and t-test

Q: What are the 2 variables being correlated (or assumed correlated) in the Hypothesis Statement?

A: We want to tell the hypothesis of correlation whether they accept or reject.

Q: value, Test Statistic and Hypotheses

A: From the available information, the population is normal with unknown population standard deviation.…

Q: Formulation of hypothesis: Create three examples of research title and write the null and…

A: Hypothesis Testing: Hypothesis testing is a method of statistical methodology that requires making…

Q: Define "power" in relation to hypothesis testing.

Q: Describe the Maximum likelihood criterion?

A: Decision-making is the process of choosing the best alternative from the different options given by…

Q: Type I error of a hypothesis test is denoted by O The Greek letter a (alpha)

A: According to the given information, we have Type I error is given.

Q: Question 7 CONCLUSION: Explain your results for the HYPOTHESIS TEST to WHY you either ACCEPTED or…

A: To write the conclusion from the given situation.

Q: Explain Multiple Observation Summary of Z-test?

A: A Z-test is a statistical test, used to determine whether two population means are different when…

Q: How to write and develop hypothesis

A: Given that How to write and develop hypothesis?

Q: What are the possible outcomes of hypothesis test?

A: Hypothesis: Hypothesis is an assumption about the parameter of the population which will be made on…

Q: How do you find and create a null hypothesis? Research question is : On average, are people…

A: Null and alternative hypotheses: The hypothesis which is tentatively fixed up under and tested for…

Q: abel the hypothesis as null or alternative Eating frequent family dinners increases school grades O…

A: Solution: The statement eating frequent family dinners increases school grades is alternative…

Q: How we use the statistical inference

A: Statistical inference is the process of drawing conclusions or making predictions about a population…

Q: Polling How accurate are pollsters in predicting theoutcomes of congressional elections? The table…

A: (a) Objective: To test an appropriate hypothesis and state your conclusions. Setting of hypothesis:…

Q: What determines whether we use the z-test or the t-test?

A: Z statistic: Z=(X¯-μ)σ/n~N(0,1) with mean=0,variance=1 t statistic t=(X¯-μ)S/n

Q: Describe type I and type II errors for this hypothesis test?

A: A type 1 error is also known as a false positive and occurs when a researcher reject the null…

Q: mahulacturer claims that the mean life of its competitor's refrigerators is less than 18 years. You…

A: Given that Population mean μ =18

Q: Explain the concept of Z-Test Multiple Observations Null Hypothesis?

A: Z-test: This is a statistical test which the distribution of test statistic is under the null…

Q: help plz

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: etermine whether the claim stated below represents the null hypothesis or the alternative…

A: From the given information, The claim of the problem is at least 87% of people had at least one…

Q: Explain null hypothesis vs alternative hypothesis.

A: In theory of statistics, hypothesis is a statement regarding the parameter of interest.

Q: Suppose you conduct a hypothesis test to determine whether or not the average age difference between…

A: For conducting a hypothesis test to determine whether or not the average age difference between…

Q: Looking at the tables for crosstabulation for Respondents Race, Highest Degree, and Respondents sex.…

A: Given information: The tables for crosstabulation for Respondents Race, Highest Degree, and…

Q: Explain the terms, Null Hypothesis and Alternative Hypothesis with examples

A: The Null and Alternative hypotheses are two mutually exclusive statements about a population.…

Q: Retaining a false null hypothesis, which type of error it is?

Q: Provide an example using Hypothesis testing using the z test

A: z test is used to check if the value of the population mean is equal to the pre assumed value or…

Q: A study reported the results of a randomized trial of whole-body hypothermia (cooling) for neonatal…

A: a. It is given that, 25 of 93 infants of hypothemia group died and 41 of 93 infants in the control…

Q: What are the two types of hypotheses used in a hypothesis test? How are they related?

Q: Explain briefly when to use the Z-test, t-test and F-test in the hypotheses testing.

A: Solution: - 1) Z-test: - Following conditions are met before apply the Z-test : 1) The samples must…

Q: 2) Test the claim that the Precalculus class has an average that is over 70.

A: 2. Denote μ as the true average for the Precalculus class.

Q: A null and alternative hypothesis are given. Determine wheter the hypothesis test is left-tailed,…

A: Given information- We have given the null and alternate hypothesis- Null Hypothesis, H0: p ≤ 0.1…

Q: What are the two types of hypotheses used in a hypothesis test? How are they related? What are the…

Q: What is the best way for your hypothesis test to have high power? large effect size, large n large…

A: Solution Power of the hypothesis is increased with increase in sample size and effect size.

Q: explain the use of z-test

A: Solution-: Explain the use of z-test?

Question

5 step procedure for a hypothesis test

## Example: Quarters

- The U.S. Department of Treasury claims the mean mass of a quarter is 5.670 grams.
- A simple random sample (SRS) of 50 quarters has a mean mass of 5.652 grams and a standard deviation of 0.068 grams.
- Test the claim that the mean mass of quarters in circulation is 5.670 grams at a significance level of α = 0.10.

### Explanation

To test the claim, a hypothesis test can be conducted. The null hypothesis (H0) would state that the mean mass is 5.670 grams, while the alternative hypothesis (H1) would suggest that the mean mass is different from 5.670 grams. The significance level (α = 0.10) indicates the probability of rejecting the null hypothesis when it is actually true.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Write the given information.

VIEW

Step 2: Test whether the mean mass of quarters in circulation is 5.670.

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

5 step procedure for a hypothesis test (z test NOT t test)

**Example: Quarters**

- The U.S. Dept. of Treasury claims the mean mass of a quarter is 5.670 g.
- A simple random sample (SRS) of 50 quarters has a mean mass of 5.652 g and a standard deviation of 0.068 g.
- Test the claim that the mean mass of quarters in circulation is 5.670 g at a significance level \(\alpha = 0.10\).

Solution

by Bartleby Expert

SEE SOLUTION

Similar questions

You are at a local fair and there is a game that you flip a coin, if the coin lands on heads you win and tails you lose. As you watch others play you record that last 10 results, which are {T, H, T, T, H, T, T, T, H, T} a) As you just finished taking statistics at CMCC, you do not believe the game is using a fair coin. Conduct a hypothesis test to verify your claim. Use a level of significance of 0.05. State your null and alternative hypothesis, and the calculations you used to come up with your conclusion.
Explain about upper tail test.
When running a test, if p-value exceeds the significance level α then Group of answer choices we reject the null hypothesis All of these. we fail to reject the null hypothesis. we can't make any decision about the null hypothesis
What is the equation for computing the degrees of freedom (df) for a hypothesis test of independence of categorical data? O df = (number of rows + 1) (number of columns + 1) df = (number of rows) (number of columns) df = (number of rows - 1) (number of columns - 1) O df = n - 1
Does more education lower a person’s level of prejudice? The number of years of education and the score on a prejudice test for ten people is given in the following table. Higher scores on the test indicate more prejudice. Years of Education: 12, 15, 14, 13, 18, 10, 16, 12, 10, 4 Score of Prejudice Test: 1, 6, 2, 3, 2, 4, 1, 5, 5, 10 Conduct a hypothesis test to determine if there is a significant linear correlation between the two variables. If there is a significant linear correlation between the variables, determine the regression equation. There is a significant correlation between the variables and the regression equation is y' = 10.5 - 0.532x There is a significant correlation between the variables and the regression equation is y' = - 0.532 + 10.5x There is not a significant correlation between the variables, so the regression equation should not be determined. There is a significant correlation between the variables and the regression equation is y' = 16.509 - 1.054x
What are the equations for a two-tailed hypothesis test? How is hypothesis testing used in engineering? Describe connections to other engineerin learning.
Explain what is a Hypothesis and how can we apply Hypothesis Testing into the Statistical world, any practical applications?
Suppose you wish to find out the answer to the age-old question, "Do people prefer Cola 1 or Cola 2?" You conduct a blind taste test in which individuals are randomly asked to drink one of the colas first, followed by the other cola, and then asked to disclose which drink they prefer. Results of your taste test indicate that 59 of 100 individuals prefer Cola 2. Complete parts a through c. (a) Conduct a hypothesis test (preferably using technology) Ho: p = po versus H₁: ppo for po = 0.48, 0.49, 0.50, 0.68, 0.69, 0.70 at the a= 0.05 level of significance. For which values of po do you not reject the null hypothesis? What do each of the values of po represent? Do not reject the null hypothesis for the values of po between (Type integers or decimals. Do not round.) O and inclusively.
What are the two types of hypotheses used in a hypothesis test? How are they related? What are the two types of hypotheses used in a hypothesis test?
Distinguish One-Sample Tests of Hypothesis from Two-Sample Tests of Hypothesis
Choosing the alpha level for a hypothesis test allows researchers to control the probability of committing a type II error. True or False I see various answers on this question Please explain.
* Question Completion Status: Assume you are conducting a hypothesis test to determine if pesticides cause cancer in rural areas. The hypotheses are: The null hypothesis is no cancer. The alternate hypothesis is cancer. Select if the result for Box C is correct, a Type I error, a Type II error or if there is insufficient information to make the decision. *****Read the labels very carefully. Ho: no cancer Ha: cancer Reality: Reality: Null is true Alternate is true (i.e. no cancer) (i.e. cancer) Decision: Accept the null hypothesis (i.e. test is negative for A cancer) Decision: