Caselet 2A study is being conducted to test if there is a relationshipbetween drink preferences and average amount of stresslevels ranked low, medium, and high. 40 random subjectswere asked to choose the beverage they would most likelydrink when planning for an all-nighter. The observedfrequencies are shown below. With 0.05 level ofsignificance, prove that the categories are somehowdependent.LowMediumHighCoffee4716Tea3311|Choco521314141240

Answered: Image /qna-images/answer/5e70005e-0217-48ef-9cf1-14a022e81cd2.jpg

Answered: A study is being conducted to test if…

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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the following data are from a hypothetical study on the effects of age and time on scores on a test of reading comprehension. Age 12 year olds 16 year olds 18 year olds time 74 30 minutes 66 82 73 60 minutes 69 95 90 minutes 80 89 95 using a significance level of 5% what conclusions would you draw from the study?
In a study of the effects of mood on evaluation of nutritious food, 208 subjects were randomly assigned to read either a happy story (to induce a positive mood) or a control (no story, neutral mood) group. Subjects were then asked to evaluate their attitude toward a certain food on a nine-point scale, with higher numbers indicating a more positive attitude toward the food. The following table summarizes data on the attitude rating: Group n S Positive mood 104 4.25 2.05 Neutral mood 104 5.65 1.75 Based on the evidence could we conclude that mood changes attitudes towards food? (test hypotheses at level alpha =0.05).
Attractiveness of body types has been a large discussion relating to effects on youth and culture. Unhealthy levels of BMI are often associated with beauty. A researcher decided to study how young heterosexual adults body type preferences related to BMI. Participants were asked to use a computer program to design their desired partner. The program then calculated the BMI of the designed partners. The table summarizes the results based on a SRS of 35 men and 48 women. BMI designed by men n=35 x-bar=18.850 stdev=1.750 SE Mean 0.277 BMI designed by women n=48 x-bar=25.860 stdev=4.215 SE Mean 0.625 Use this information to conduct a test to decide if male and/or female body type preferences are associated with healthy BMI measurements. You should have two complete tests here. You may assume the populations are normally distributed.
Suppose a group is interested in determining whether teenagers obtain their drivers license at approximately the same average age across the country. Five teenagers from each region of the country were randomly selected. The data collected is their age at which the teenagers obtained their drivers licenses and is summarized in the table below. Test the hypothesis that the five regions produce the same mean average for a teenage driver’s license. Northeast South West Central East 16.3 16.9 16.4 16.2 17.1 16.1 16.5 16.5 16.6 17.2 16.4 16.4 16.6 16.5 16.6 16.5 16.2 16.1 16.4 16.8 (a)What are the hypotheses? (b)What is the F – Statistic? (c) What is the p – value? (d) What can you conclude about the null hypothesis? (e) What can you conclude about the population means?
A sample survey by Comcast asked a random sample of customers about use of the Internet and about the type of community they lived in. Here are the results: Internet Users: Rural: 433 Suburban: 1072 Urban: 536 Nonusers: Rural: 463 Suburban: 627 Urban: 388 Is there a relationship between Internet use and community type? Give statistical evidence to support your findings.
A graduate student is interested in how viewing different types of scenes affects working memory. For his study, he selects a random sample of 36 adults. The subjects complete a series of working memory tests before and after walking in an urban setting. Before the walk, the mean score on the test of working memory was 9.1. After the walk, the mean score was 1.4 higher. The graduate student has no presupposed assumptions about how viewing different types of scenes affects working memory, so he formulates the null and alternative hypotheses as: H00 : μDD = 0 H11 : μDD ≠ 0 Assume that the data satisfy all of the required assumptions for a repeated-measures t test. The graduate student calculates the following statistics for his hypothesis test: Mean difference (MDD) 1.4 Estimated population standard deviation of the differences (s) 1.6 Estimated standard error of the mean differences (sMDMD) 0.2667 Degrees of freedom (df) 35 The t statistic 5.25 The critical values of t…
The Interpersonal Reactivity Index is a survey designed to assess four different types of empathy. One type of empathy, called Empathetic Concern, measures the tendency to feel sympathy and compassion for people who are less fortunate. The index ranges from 0 (less empathetic) to 28 (more empathetic). The following data, representing random samples of 8 males and 8 females, are consistent with results reported in psychological studies. Boxplots show that it is reasonable to assume that the populations are approximately normal and have equal variances. Males 13 20 14 16 13 26 21 23 Females 22 20 26 25 28 24 16 19 Can you conclude that there is a difference in mean empathy score between men and women? Use a=0.03. (1) Critical Values (Round off to 3 decimal places): (2) Test Statistic (Round off to 2 decimal places): (3) Conclusion: (Type 'Reject HO' or 'Fail to Reject HO')
In a study to determine the effect of early child care on infant-mother attachment patterns, 92 infants were classified as either "secure" or "anxious" using an appropriate measurement scale. In addition, the infants were classified according to the average number of hours per week that they spent in child care. The data are presented in the table. High (20-54 hours) Low Moderate (0-3 hours) (4-19 hours) Secure 22 33 Anxious 12 9. 9. (a) Do the data provide sufficient evidence to indicate that there is a difference in attachment pattern for the infants depending on the amount of time spent in child care? Test using a = 0.05. State the null and alternative hypotheses. Ho: Attachment pattern and amount of time spent in child care are dependent. H: Attachment pattern and amount of time spent in child care are independent. Ho: : The number of secure and anxious children are equal. : The number of secure and anxious children are not equal. Ha : Attachment pattern and amount of time spent in…
Empathy: The Interpersonal Reactivity Index is a survey designed to assess four different types of empathy. One type of empathy, called Empathetic Concern measures the tendency to feel sympathy and compassion for people who are less fortunate. The index ranges from 0 (less empathetic) to 28 (more empathet The following data, representing random samples of 11 males and 11 females, are consistent with results reported in psychological studies. Boxplots show tha it is reasonable to assume that the populations are approximately normal. Can you conclude that the mean empathy score for men is less than the mean empathy score for women? Let μ₁ denote the mean empathy score for males and μ₂ denote the mean empathy score for females. Use the a=0.01 level and the critical value method with the table. 12 16 13 26 21 23 8 15 18 25 15 Males 21 23 15 26 25 28 24 16 19 20 23 Females Part 1 of 6 Send data to Excel State the appropriate null and alternate hypotheses. H₁ | M₁ = μ₂ H₁ :|µ₁ <µ₂ This is a…
The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Hours 47 47 55 51 48 65 51 52 50 49 51 54 What are the correct hypotheses? Ho: Select an answer ✓ ? ✓ Ha: Select an answer ✓ Test Statistic= hours Based on the hypotheses, find the following: p-value= hours (Give answer to at least 4 decimal places.) (Give answer to at least 4 decimal places).
A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.01 significance level, test the claim that injuries are independent of helmet color. Color of Helmet Black White Yellow Red Blue Controls (not injured) 494 343 27 168 99 Cases (injured or killed) 210 107 6 71 47
The director of student services at Oxnard College is interested in whether women are less likely to attend orientation than men before they begin their coursework. Arandom sample of freshmen at Oxnard College were asked what their gender is and whether they attended orientation. The results of the survey are shown below: Data for Gender vs. Orientation Attendance Women Men Yes 335 No 314 392 344 What can be concluded at the a = 0.10 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Select an answer Select an answer v (please enter a decimal and note that Họ: Select an answer p1 and ul represent the proportion and mean for women and p2 and µ2 represent the proportion and mean for men.) H1: Select an answer Select an answer Select an answer | (Please enter a decimal) b. The test statistic (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ?a e. Based on this, we should Select an answer f.…

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