**Testing a Claim About the Population Mean***Objective:* Use technology to test the claim about the population mean, $ \mu $, at the given level of significance, $ \alpha $, using the given sample statistics. Assume the population is normally distributed.**Given:**- Claim: $ \mu > 1280 $- Significance level: $ \alpha = 0.07 $- Population standard deviation: $ \sigma = 196.31 $- Sample statistics: - Sample mean ($ \bar{x} $) = 1308.11 - Sample size ($ n $) = 200**Hypotheses:**Choose the correct set of hypotheses from the options:- **Option C:** - Null Hypothesis ($ H_0 $): $ \mu = 1308.11 $ - Alternative Hypothesis ($ H_a $): $ \mu > 1308.11 $ - **Option E:** - Null Hypothesis ($ H_0 $): $ \mu \geq 1280 $ - Alternative Hypothesis ($ H_a $): $ \mu < 1280 $- **Option D:** - Null Hypothesis ($ H_0 $): $ \mu \leq 1308.11 $ - Alternative Hypothesis ($ H_a $): $ \mu > 1308.11 $- **Option F:** - Null Hypothesis ($ H_0 $): $ \mu \geq 1280 $ - Alternative Hypothesis ($ H_a $): $ \mu < 1280 $**Calculations:**1. **Calculate the Standardized Test Statistic:** \[ \text{Standardized test statistic} = 2.03 \] (Round to two decimal places as needed.)2. **Determine the P-Value:** \[ P = \underline{\quad} \] (Round to three decimal places as needed.)**Conclusion:**The interpretation of the P-value and standardized test statistic will indicate whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis, based on the claim provided.

Name: **Testing a Claim About the Population Mean***Objective:* Use technol
Uploaded: 2024-03-20T07:06:16.000Z
Channel: Bartleby
Description: **Testing a Claim About the Population Mean***Objective:* Use technology to test the claim about the population mean, $ \mu $, at the given level of significance, $ \alpha $, using the given sample statistics. Assume the population is normally d

The summary of statistics is, x¯=1308.11,σ=196.31,n=200,μ=1280 The null and alternative hypothesis…

Math

Statistics

Use technology to help you test the claim about the population mean, p, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: u> 1280; a = 0.07; o = 196.31. Sample statistics: x= 1308.11, n 200 H: u> 1280 Hµ<1308.11 O D. Ho: us1308.11 OC. Ho: u> 1308.11 H us 1308.11 H p> 1308.11 O E. Ho: u> 1280 ΟΕ Hρ μ2 1280 H3: us 1280 Hu< 1280 Calculate the standardized test statistic. The standardized test statistic is 2,03 (Round to two decimal places as needed.) Determine the P-value. P= (Round to three decimal places as needed.)

Use technology to help you test the claim about the population mean, p, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: u> 1280; a = 0.07; o = 196.31. Sample statistics: x= 1308.11, n 200 H: u> 1280 Hµ<1308.11 O D. Ho: us1308.11 OC. Ho: u> 1308.11 H us 1308.11 H p> 1308.11 O E. Ho: u> 1280 ΟΕ Hρ μ2 1280 H3: us 1280 Hu< 1280 Calculate the standardized test statistic. The standardized test statistic is 2,03 (Round to two decimal places as needed.) Determine the P-value. P= (Round to three decimal places as needed.)

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: The data found below measure the amounts of greenhouse gas emissions from three types of vehicles.…

Q: The mean lifetime of a car engine is believed to be greater than 175,000 miles. Sample data are: n=…

Q: Which of the three normal curves below has the lowest mean? Lowest standard deviation? A (В Lowest…

A: The objective is to identify the normal curve that has the lowest mean and lowest standard…

Q: 1.Define percentile. 2.When finding the percentage of data in a given section of the normal…

Q: ily Driving The average number of miles a person drives per day is 24. A researcher wishes to see if…

Q: Use technology to help you test the claim about the population mean, µ, at the given level of…

A: Given information Sample mean x̅ = 1227.81 Population mean µ = 1200 Sample size = 275 Standard…

Q: Determine the variability of your data set (standard deviation), and the uncertainty of the mean.

A: In variable data set the single data value has an uncertainty that is equal to the standard…

Q: Determine if the mean baseline cholesterol differs by Sex a. I will use an independent-samples…

A: Solution: Given information

Q: write an analysis for the data above and what does the p value mean?

A: From the given information we find the solution.

Q: Obstetrics The figure below plots the sampling distribution of the mean from 200 samples of size 8…

A: * SOLUTION :- Given that ,

Q: A golf association requires that golf balls have a diameter that is 1.68 inches. To determine if…

Q: The director of research and development testing and new drugs she wants to know if there's evidence…

A: Test statistic:Denote μ as the claimed mean; μ = 384. In a random sample of n = 79, the sample mean…

Q: 7. We want to test a claim that the mean house price in CA is not equal to $455000. sample : n=41,…

A: Solution : Given : - We want to test a claim that the mean house price in CA is not…

Q: Assume the samples are random and independent, the populations are nomally distributed, and the…

A: For the given data Perform Anova single Factor

Q: The sample mean is x =3.75 grams. Let x be a random variable representing weights of hummingbirds in…

A: The sample mean is x =3.75 grams. Let x be a random variable representing weights of hummingbirds in…

Q: Identify the level of measurement of the data, and explain what is wrong with the given…

A: Given that In a survey, the favorite foods of respondents are identified as 0 for Italian food, 1…

Q: 1. From a sample of 230 pet owners, 104 indicate that they buy their pet food in brick-and-mortar…

A: Sample size Number of pet owners who buy their pet food in brick and mortar storms is

Q: For the data set (−1,−2),(2,2),(5,5),(7,7),(12,11) find interval estimates (at a 80% significance…

A: Regression equation can be find by using excel: (I) Enter the data in excel under the column of x…

Q: Would you use a one-sample, paired-sample, or independent-sample t-test in the following situations?…

A: From given, A lab technician tests the specimen 10 times using an assay kit. Let we know about…

Q: c) Find the test statistic or test value and give the corresponding p-value Proportion Stat:…

A: Here we have to solve part (e) of the question From the given table we have P-value = 0.5223…

Q: Calcium is essential to tree growth because it promotes the formation of wood and maintains cell…

Q: Refer to the data set in the accompanying table. Assume that the paired sample data is a simple…

A: Given that Using excel

Q: Use technology to help you test the claim about the population mean, u, at the given level of…

A: Given, Sample size = 275 Sample mean = 1285.42 Population standard deviation = 202.75 Under the…

Q: For a certain survey, software reports the results shown below for responses on the number of times…

A: Given that, Sample size (n) = 240 Mean = 4.4 Standard deviation = 2.9

Q: The accompanying table describes the distribution of eye colors reported by male and female…

A: It is needed to check whether the gender and eye color are independent traits.

Q: Refer to the accompanying data display that results from a sample of airport data speeds in Mbps.…

A: GivenMean(x)=17.598standard deviation(sx)=16.01712719sample size(n)=50

Q: A study has been conducted of the airspeed of various bird species. You would like to specify the…

Q: 3. A certain brand of tissues has 60 tissues in a standard box because the manufacturers believe…

A: According our policy we can answer only first part for remaining please repost the question.

Q: Determine if the statement is true or false. In a normal distribution, about 95% of all data values…

A: we know the empirical rules…

Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Topic Video

Question

**Testing a Claim About the Population Mean**

*Objective:* Use technology to test the claim about the population mean, $ \mu $, at the given level of significance, $ \alpha $, using the given sample statistics. Assume the population is normally distributed.

**Given:**
- Claim: $ \mu > 1280 $
- Significance level: $ \alpha = 0.07 $
- Population standard deviation: $ \sigma = 196.31 $
- Sample statistics:
- Sample mean ($ \bar{x} $) = 1308.11
- Sample size ($ n $) = 200

**Hypotheses:**

Choose the correct set of hypotheses from the options:

- **Option C:**
- Null Hypothesis ($ H_0 $): $ \mu = 1308.11 $
- Alternative Hypothesis ($ H_a $): $ \mu > 1308.11 $

- **Option E:**
- Null Hypothesis ($ H_0 $): $ \mu \geq 1280 $
- Alternative Hypothesis ($ H_a $): $ \mu < 1280 $

- **Option D:**
- Null Hypothesis ($ H_0 $): $ \mu \leq 1308.11 $
- Alternative Hypothesis ($ H_a $): $ \mu > 1308.11 $

- **Option F:**
- Null Hypothesis ($ H_0 $): $ \mu \geq 1280 $
- Alternative Hypothesis ($ H_a $): $ \mu < 1280 $

**Calculations:**

1. **Calculate the Standardized Test Statistic:**

\[
\text{Standardized test statistic} = 2.03
\]

(Round to two decimal places as needed.)

2. **Determine the P-Value:**

\[
P = \underline{\quad}
\]

(Round to three decimal places as needed.)

**Conclusion:**

The interpretation of the P-value and standardized test statistic will indicate whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis, based on the claim provided.

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Centre, Spread, and Shape of a Distribution$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Find the mean and mode for the following sample of scores.: 10, 12, 11, 9, 8, 11, Mean = 10.1 Mode = 12 Assume that the scores from the above sample are measurements of a continuous variable and find the median by locating the precise midpoint of the distribution. Assume that the scores are measurements of a discrete variable. Find the median.
Don't hand writing solution.
Normal Distribution. The volume of water in commercially supplied fresh drinking water containers is approximately Normally distributed with mean 70 liters and standard deviation 0.75 liters. Estimate the proportion of containers likely to contain in excess of 70.9 liters. Select the correct response: 0.7468 0.0082 0.8200 0.1151
Available below are amounts of arsenic in samples of brown rice from three different regions. The amounts are in micrograms of arsenic and all samples have the same serving size. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Do the amounts of arsenic appear to be different in the different regions? Given that the amounts of arsenic in the samples from region C have the highest mean, can we conclude that brown rice from region C poses the greatest health problem? view the data table of the arsenic amounts. Arsenic Amounts (micrograms) A 4.9 4.9 4.9 5.2 5.3 5.5 5.6 5.7 5.8 5.9 6.1 6.3 B 2.3 3.6 4.5 4.6 4.8 4.8 4.8 5.1 5.1 5.4 5.4 5.5 C 5.7 5.7 6.7 6.9 7.1 7.2 7.2 7.3 7.3 7.4 7.5 7.6 The P-value is?
Save Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x= 100.88, y= 100.7, r=0.914, P-value = 0.000, and y = - 10.01+1.1x, where x represents the IQ score of the wife. Find the best predicted value of y given that the wife has an lIQ of 90? Use a significance level of 0.05. E Click the icon to view the critical values of the Pearson correlation coefficient r. Critical Values of the Pearson Correlation Coefficientr Critical Values of the Pearson Correlation Coefficient r a = 0.05 0.950 0.878 NOTE: To test H: p=0 against H,: p# 0, reject Ho f the absolute value of r is greater than the critical value in the table. a= 0.01 The best predicted value of y is. (Round to two decimal places as needed.) 0.990 0,959 4 0.811 0.754 0.707 0.666 0.632 0.602 0.576 0.917 0.875 0.834 0.798 0.765 0.735 0.708 0.684 0.661 0.641 6. 8. 10 11 12 13 0.553 0.532 0.514 0.497 14 15 16 0.623 17 0.606 0.590 0.575 0.561 0.505 0.482 0.468 18 0.456 0.444 19…
Answer these question
Use technology to help you test the claim about the population mean, p, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: u> 1280; a = 0.07; o= 196.31. Sample statistics: x= 1308.11,n= 200 A. Ho us 1280 H p> 1280 O B. Ho: µ2 1308.11 Ha: p 1308.11 Ha ps 1308.11 O D. Ho: Hs1308.11 Ha: p> 1308.11 O E. Ho p> 1280 Ha ps 1280 O F. Ho: µ21280 Ha:p< 1280 Calculate the standardized test statistic. The standardized test statistic is| (Round to two decimal places as needed.)
Remember: The Empirical Rule for Normal Distributions states: -68% of data -95% of data- -99.7% of data- -3 -1 1. 2 3. 2. Consider each normal curve. State whether the distribution shown represents population data or sample data. Then determine each percent, shade the corresponding region under each normal curve, and explain your reasoning. Remember: a. What percent of adult males have a height between 62 inches 1o represents a data value that is one and 74 inches? standard deviation greater than the population mean and -1o represents a data value that is one standard deviation less than the population mean. 84 30 74 58 -30 62 -20 78 20 66 70 -1o 10 Heights of Adult Males (inches)
Use technology to help you test the claim about the population mean, , at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: u> 1170; a = 0.07; o= 204.05. Sample statistics: x= 1200.26, n= 300 H, p 1170 O E. Ho µs 1200.26 OF. Ho: p2 1200.26 Ha µ 1200.26 Calculate the standardized test statistic. The standardized test statistic is 2.56. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.)
I just do letter d and e please and show work thank you A group of students measure the length and width of a random sample of beans. They are interested in investigating the relationship between the length and width. Their summary statistics are displayed in the table below. All units, if applicable, are millimeters. Mean width: 7.533 Stdev width: 0.905 Mean height: 13.433 Stdev height: 1.727 Correlation coefficient: 0.8429 a) The students are interested in using the width of the beans to predict the height. Calculate the slope of the regression equation. Correct b) Write the equation of the best-fit line that can be used to predict bean heights. Use x to represent width and y to represent height. y=1.3162+1.6085xCorrect c) What fraction of the variability in bean heights can be explained by the linear model of bean height vs width? Express your answer as a decimal. Correct d) If, instead, the students are interested in using the height of the beans to predict the…
please aswer the following question attached
28 What is the mean of the data set? * X X X X X X X X ++++++ 4 5 6 7 8 9 10 Number of miles run 8 XX O O