**Statistical Analysis Example**The average final exam score for the statistics course is 77%. A professor wants to determine if the average final exam score for students who are given colored pens on the first day of class differs. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. It is assumed that the distribution of the population is normal.**Scores:**70, 65, 83, 90, 88, 69, 97, 100, 88, 79, 96, 83, 70, 96**Question:**What can be concluded at the \( \alpha = 0.01 \) level of significance?**Tasks:**a. For this study, we should use _________.b. The null and alternative hypotheses would be: - \( H_0: \) _________ - \( H_1: \) _________c. The test statistic \( t = \) _________ (Please show your answer to 3 decimal places.)d. The p-value = _________ (Please show your answer to 4 decimal places.)e. Based on this, we should _________ the null hypothesis.**Conclusion Options:**1. The data suggest the population mean is not significantly different from 77 at \( \alpha = 0.01 \), so there is statistically insignificant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is equal to 77.2. The data suggest the population mean is significantly different from 77 at \( \alpha = 0.01 \), so there is statistically significant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is different from 77.3. The data suggest that the population mean final exam score for students who are given colored pens at the beginning of class is not significantly different from 77 at \( \alpha = 0.01 \), so there is statistically insignificant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is different from 77.**Hint:**- Helpful Videos: - [Calculations](#) - [Setup](#) - [Interpretations](#)- [Textbook Pages](#)- [Help](#)Get Help:

Name: **Statistical Analysis Example**The average final exam score for the
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: **Statistical Analysis Example**The average final exam score for the statistics course is 77%. A professor wants to determine if the average final exam score for students who are given colored pens on the first day of class differs. The final exam s

The average final exam score for statistics course is 77%. Data is: 70, 65, 83, 90, 88, 69, 97, 100, 88, 79, 96, 83, 70, 96. a) for this study t-test for population mean will be used. b) Hypotheses can be constructed as: H0: µ=77 H1: µ≠77c) Value of test statistic can be obtained as: t=x-μs/n x=70+65+...+9614=83.8571s=70-83.85712+65-83.85712+...+96-83.8571214-1=11.7202 Test statistic becomes: t=83.8571-7711.7202/14=2.1891 Thus, test statistic is 2.1891.The test is two tailed. d) The p value of the test statistic from the t-table is 0.0474. The level of significance (α) = 0.01 Decision rule: Reject H0: if p value < level of significance (α) e) Since, the p value is 0.0474 which is greater than level of significance, f) therefore, the null hypothesis would be failed to reject. g) Final conclusion: The data suggests that population mean final exam score for students who are given colored pens at beginning of class is not significantly different from 77 at α=0.01, so there is statistically insufficient evidence to conclude that population mean score for students who are given colored pen at beginning of class is different from 77.

Math

Statistics

a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: H1: c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ...

a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: H1: c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ...

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

Similar questions

need help with B, C, D
The commercial for the new Meat Man Barbecue claims that it takes 14 minutes for assembly. A consumer advocate thinks that the assembly time is lower than 14 minutes. The advocate surveyed 12 randomly selected people who purchased the Meat Man Barbecue and found that their average time was 13.5 minutes. The standard deviation for this survey group was 2.1 minutes. What can be concluded at the the a = 0.01 level of significance level of significance? You may assume the data are normally distributed.
Consider the following hypothesis test. H0: ? ≥ 55 Ha: ? < 55 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use ? = 0.01. NEED P-VALUE FOR THE FOLLOWING (a) x = 53 and s = 4.7 the test statistic. (Round your answer to three decimal places.) -2.553 Find the p-value. (Round your answer to four decimal places.)p-value = (b) x = 56 and s = 6.0 the test statistic is 1 Find the p-value. (Round your answer to four decimal places.)p-value =
Let’s say Mrs. Smith was 72 inches tall, and her question was “Are my students, on average, shorter than I am?”. What would be the null and alternative hypotheses in this scenario? A. Ho: The population average height is less than 72”. Ha: The population average height is greater than or equal to 72”. B. Ho: The population average height is greater than or equal to 72”. Ha: The population average height is less than 72”. C. Ho: The population average height is less than or equal to 72”. Ha: The population average height is greater than 72”. D. Ho: The population average height is greater than 72”. Ha: The population average height is less than 72”.
The average wait time to get seated at a popular restaurant in the city on a Friday night is 13 minutes. Is the mean wait time greater for men who wear a tie? Wait times for 11 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 12, 13, 13, 15, 13, 11, 14, 13, 15, 11, 15 What can be concluded at the the a = 0.01 level of significance level of significance?
The average fruit fly will lay 394 eggs into rotting fruit. A biologist wants to see if the average will change for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. Round your mean and standard deviation to three decimal places when doing these calculations. 376, 400, 402, 362, 386, 400, 368, 391, 399, 407, 384, 384, 371, 371 Download CSV What can be concluded at the the a = 0.01 level of significance level of significance?
The average American consumes 85 liters of alcohol per year. Does the average college student consume less alcohol per year? A researcher surveyed 13 randomly selected college students and found that they averaged 82.1 liters of alcohol consumed per year with a standard deviation of 23 liters. What can be concluded at the the a = 0.10 level of significance? You may assume the data are normally distributed.
Before the furniture store began its ad campaign, it averaged 222 customers per day. The manager is investigating if the average is smaller since the ad came out. The data for the 14 randomly selected days since the ad campaign began is shown below. Round your mean and standard deviation to three decimal places when doing these calculations. 224, 211, 206, 206, 232, 189, 222, 197, 220, 210, 212, 213, 208, 189 Download CSV Assuming that the distribution is normal, what can be concluded at the a = 0.01 level of significance?
A consumer magazine wants to figure out which of two major airlines lost a higher proportion of luggage on international flights. The magazine surveyed Standard Air (population 1) and Down Under airlines (population 2). Standard Air lost 45 out of 600 bags. Down Under airlines lost 30 of 500 bags. Does Standard Air have a higher population proportion of lost bags on international flights? Which of the following is the correct competing hypotheses?
An annual survey of first-year college students asks 277,000 students about their attitudes on a variety of subjects. According to a recent survey, 52% of first-year students believe that abortion should be legal. Use a 0.05 significanc level to test the claim that over half of all first-year students believe that abortion should be legal. Formulate the null and alternative hypotheses. Choose the correct answer below. OA. Ho p=0.5 Ha p0.5 example Get more help Clear all Check answer a Q0°C Darthou
12% of all Americans suffer from sleep apnea. A researcher suspects that a different percentage of those who live in the inner city have sleep apnea. Of the 372 people from the inner city surveyed, 30 of them suffered from sleep apnea. What can be concluded at the level of significance of a = 0.10? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v Select an answer v (please enter a decimal) H1: ? v Select an answer v (Please enter a decimal) c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly different from 12% at a = 0.10, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is…
13% of all Americans suffer from sleep apnea. A researcher suspects that a higher percentage of those who live in the inner city have sleep apnea. Of the 321 people from the inner city surveyed, 51 of them suffered from sleep apnea. What can be concluded at the level of significance of a = 0.01? î a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer ↑ (please enter a decimal) H₁: ? î Select an answer (Please enter a decimal) c. The test statistic ? î = (please show your answer to 3 decimal places.) d. The p-value= = (Please show your answer to 4 decimal places.) e. The p-value is ? î a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly larger than 13% at a = 0.01, so there is not sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is larger…