**Performing a Bonferroni Test for Statistical Significance**In this section, we explore how to determine which means are significantly different using a Bonferroni test. Detailed instructions are given for rounding your answers to three decimal places, and any interim calculations should be rounded to four decimal places.**Table Overview:**The table is structured to evaluate three pairwise comparisons:1. **Work Study vs. Co-op**2. **Work Study vs. Internship**3. **Co-op vs. Internship****Columns:**- **Test Statistic:** This column requires entering the test statistic calculated for each comparison.- **Adjusted P-value:** Enter the P-value that has been adjusted using the Bonferroni correction method for each test.- **Statistically Significant Difference?:** A dropdown is provided for each comparison where you will select either "Yes" or "No", indicating whether there is a statistically significant difference between the means based on the adjusted P-value.Use this format as a guide for calculating and interpreting your results when conducting a Bonferroni test for multiple comparisons. The following three independent random samples are obtained from three normally distributed populations with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (work study, co-op, internship).Software was used to conduct a one-way ANOVA to determine if the means are equal using \(\alpha = 0.05\).### Summary Statistics:| | Mean | Standard Deviation | Sample Size ||------------|--------|--------------------|-------------|| Work Study | 12.96 | 0.4852 | 15 || Co-op | 14.4508| 1.5733 | 24 || Internship | 15.787 | 0.3472 | 10 |### ANOVA Table:| Source | SS | df | MS | F | P-value ||----------|----------|----|---------|---------|---------|| Between | 49.5388 | 2 | 24.7694 | 18.5831 | 1.0E-6 || Within | 61.3121 | 46 | 1.3329 | | || Total | 110.8509 | 48 | | | |### Explanation:- **Summary Statistics**: This table displays the mean starting hourly wages, the standard deviation, and the sample size for each position type.- **ANOVA Table**: This shows the results of the one-way ANOVA. The "Between" group represents variations between the different position types, and "Within" refers to variations within each position type. The "F" value indicates the ratio of between-group variability to within-group variability. A P-value of 1.0E-6 suggests a statistically significant difference between the means at \(\alpha = 0.05\).

Work study vs. Co-op: Given information: x¯1=12.96, s1=0.4852,n1=15x¯2=14.4508, s2=1.5733,n2=24…

Answered: Perform a Bonferroni test to see which…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Part d) where does the 0.675 come from?
4
Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…
To determine if their 1.50 centimeter bolts are properly adjusted, Norman & Mayer Manufacturing has decided to use an X-Chart which uses the range to estimate the variability in the sample. Table Control Chart Answer How to enter your answer (opens in r Step 1 of 7: What is the Center Line of the control chart? Round your answer to three decimal places. Period 1 2 3 4 5 6 Copy Table Tables Select the Copy Table button to copy all values. To select an entire row or column, either click on the row or column header or use the Shift and arrow keys. To find the average of the selected cells, select the Average Values button. ON obs1 obs2 1.45 1.52 1.55 1.51 1.51 1.50 1.50 1.53 1.46 1.53 1.52 1.54 1.51 1.50 1.50 1.52 1.46 1.47 1.52 1.53 1.53 1.54 1.53 1.53 1.53 1.53 1.54 1.48 1.54 1.49 1.53 1.50 7 1.46 1.46 1.54 1.48 1.49 1.51 8 1.47 1.48 1.51 1.51 1.53 1.50 9 1.50 1.54 1.54 1.53 1.53 1.49 10 1.54 1.49 1.55 1.51 1.51 1.50 Keypad Copy Table Average Values The average of the selected cell(s)…
Cereals sodium values have a mean of 167 and a standard deviation of 77.3. Find the z-score for the cereal that has a sodium value of 0. How would you interpret this z-score?
For each of the following hypotheses in Questions 6-8, (i) provide the p-value (or its bounds) and (ii) draw a basic conclusion (REJECT or DO NOT REJECT only) with respect to Ho with 99% confidence. Handwritten notes are not necessary for these questions.
Question 3 > Find the first and third quartile for the data shown 5.3 13 14.6 15.5 16.3 17 17.4 18.3 19.2 20.3 Q1 = %3D Q3 = %3D Submit Question
otected View - Saved to this PC Search View Help 12. The city council is considering a law that would ban smoking in all public facilities. A sample has been selected from the community and tested for of the ordinance. Is there a statistically significant relationship between age and support for the anti-smoking law? Use the five step model as a guide and write a sentence or two interpreting your results. support Age More than 40 Less than 40 Support: For 145 78 223 Against 103 248 169 247 272 495 A. Use probabilities to determine if these two variable are independent or dependent P (Less than 40) 3D P(Less than 40 | For)= P(Less than 40| Against) = Are age and support for the anti-smoking law independent? (Yes independent/No = not independent) B. Conduct a hypothesis test using an alpha of .05 that these variables are i
Hi can you correct the wrong answers
Type size Mean S.D. I 10 136.7 4.5 II 15 138.3 4.6 7. | find the 98% econfidence interval for the difference of mean fabric strengths for the two types using a pooled interval. Interpret your answer.
Part 2 of 5 Compute the value of the test statistic. Round the answer to at least two decimal places. %3D Part: 2 /5 Part 3 of 5 Find the P-value. Round the answer to at least four decimal places. P-value =
Data from 500 random tornados was collected and the length in miles that the tornado was touching the ground was recorded. We want to test the claim that the mean tornado length is greater than 2.5 miles using a .05 significance level. Using the traditional method if the test statictic is .759, x hat = 2.72424 and s= .2956. Tell why you made the decision you did.

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

Perform a Bonferroni test to see which means are significantly different. Round your answers to th decimal places, and round any interim calculations to four decimal places. Test Statistic Adjusted P-value Statistically significant differen Work Study vs. Co-op ?