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A: Given Information: t(25) = 2.071 here, df = 25 t value = 2.071
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A: Given: A pharmaceutical company has developed a drug that is expected to reduce hunger. Let k denote…
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- A researcher would like to examine how the chemical tryptophan, contained in foods such as turkey, can affect mental alertness. A sample of n = 9 college students is obtained, and each student’s performance on a familiar video game is measured before and after eating a traditional Thanksgiving dinner including roast turkey. The average score dropped by MD = 14 points after the meal with SS = 1152 for the difference scores. What type of t-test would you have to conduct in this scenario?Are the data sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05. State the hypothesis, find the critical region, calculate your test statistic, and evaluate your hypothesis then calculate the Cohen’s d measure for this scenario. State whether this is a weak, moderate, or strong effect.Two separate samples receive two different treatments. The first treatment group (N = 9) has a mean of 50 with SS = 710. The second treatment group (N = 6) has a mean of 60 with SS = 460. Is the second treatment group significantly larger than the first? What is the effect size?A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy) was performed. Let x1 be a random variable that represents the score of a mother on an empathy test (as regards her baby). Let x2 be the empathy score of a father. A random sample of 30 mothers gave a sample mean of x, = 67.85. Another random sample of 25 fathers gave x2 = 61.72. Assume that o, = 10.85 and oz = 10.57. (a) Let µ̟ be the population mean of x, and let uz be the population mean of x2. Find a 90% confidence interval for H1 - H2. (Use 2 decimal places.) lower limit upper limit
- A researcher would like to examine how the chemical tryptophan, contained in foods such as turkey, can affect mental alertness. A sample of n = 9 college students is obtained and each student’s performance on a familiar video game is measured before and after eating a traditional Thanksgiving dinner including roast turkey. The average score dropped by M = 14 points after the meal with SS = 1152 for the difference scores. A. Is there is significant difference in performance before eating versus after eating? Use a two-tailed test with α = .05. SMD = ___________________________ tcritical = ________________________ tcalculated = ________________________ Decision = _______________________ B. Compute r2 to measure the size of the effect. r2 = _____________________________ C. Write a sentence demonstrating how the outcome of the test and the measure of effect size would…In a certain jurisdiction, all students in Grade Three are required to take a standardized test to evaluate their math comprehension skills.The file contains these data resulting from a random sample of n=30 schools within this jurisdiction. From these data you wish to estimate the model Yi=β0+β1Xi+ei where Xi is the percentage of Grade Three students in School i who live below the poverty line and Yi is the average mathematics comprehension score for all Grade Three students in the same school, School i. The observed data for the X variable is labled perbelowpoverty and the observed data for the Y variable is labeled mathscore in the file.Import (either hand type or load the file) data into R Studio, then answer the following questions based on the data.(a) Create a scatterplot of the data. What can you say about the nature of the relationship between the percentage of Grade Three students living below the poverty line in a certain school and the school's average Grade Three…An airport official wants to prove that the proportion of delayed flights for Airline A (denoted as p1) is less than the proportion of delayed flights for Airline B (denoted as p2). Random samples for both airlines after a storm showed that 51 out of 200 flights for Airline A were delayed, while 60 out of 200 of Airline B's flights were delayed. The test statistic for this problem is -1.00. The p-value for the test statistic for this problem is: p = 0.0228 p = 0.0668 p = 0.3413 p = 0.1587
- According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.34. Suppose a random sample of 109 traffic fatalities in a certain region results in 50 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the x = 0.01 level of significance? Because npo (1-Po) = 24.5 > 10, the sample size is (Round to one decimal place as needed.) What are the null and alternative hypotheses? p = 0.34 versus H₁: p > 0.34 Ho: p (Type integers or decimals. Do not round.) Find the test statistic, Zo. Zo = 2.62 (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) less than 5% of the population size, and the sample is given to be random, the requirements for testing the hypothesis are satisfied.A pharmaceutical company has developed a drug that is expected to reduce hunger. To test the drug, three samples of rats are selected with n=10n=10 in each sample. The first sample receives the drug every day. The second sample is given the drug once a week, and the third sample receives no drug at all (the control group). The dependent variables is the amount of food eaten by each rat over a 1-month period. These data are analyzed by an ANOVA, and the results are reported in the following summary table. Fill in all missing values in the table. (Hint: Start with the df column.) S.S. d.f. M.S. F Between 6.68 Within 4.35 TOTAL Use the =FDIST() function in Excel to locate the p-value for this ANOVA:p-value = Report p-value accurate to at least 6 decimal places.If you use a significance level of α=.05α=.05, what would you conclude about these treatments?A survey of the population of 51 students in Psych 311 asks how many credits students are taking and obtains the following normally-distributed results: ∑ X= 686 and ∑X2= 9832.92. Using this information, answer the following three questions. What is the percentile rank of a student who is enrolled in 15 credits? (Hint: This is the same thing as asking “what percentage of students is enrolled in 15 credits or less?”) MUST SHOW WORK FOR THIS PROBLEM What percentage of students are enrolled in between 12 and 18 credits? (MUST SHOW WORK FOR THIS PROBLEM) What is the 25th percentile? (Hint: This is the same as asking what score separates the bottom 25% of the distribution from the top 75%.) MUST SHOW WORK FOR THIS PROBLEM
- A researcher is investigating the effectiveness of a new treatment for improving short-term memory. A sample of n = 8 participants is obtained. Each individual completes a short-term memory test and then begins a 4-week program of the new treatment. At the end of the program, the short-term memory is tested again and the researcher records the amount of difference between the two ratings. For this sample, memory scores increased by an average of M = 3.5 points with SS = 56. Can you conclude that the new treatment significantly improves (increases) short-term memory performance? Test with α = .05, one-tailed. a. state the null and alternative hypotheses b. Locate the boundary of the critical region c. Calculate the test statistic. t = ? d. what is the correct decision? e. Compute r2 to measure the size of the treatment effect. (Round to three decimal places)A pharmaceutical company has developed a drug that is expected to reduce hunger. To test the drug, three samples of rats are selected with n = 11 in each sample. The first sample receives the drug every day. The second sample is given the drug ance a week, and the third sample receives no drug at all (the control group). The dependent variables is the amount of food eaten by each rat aver a 1-month period. These data are analyzed by an ANOVA, and the results are reported in the following summary Lable. Fill in all missing values in the Lable. (Hint: Start with the df column.) s.S. d.f. M.S. IF Between 6.57 Within 4.35 TOTAL Use the =FDIST () function in Excel to locate the p-value for this ANOVA: pvalue- Report answer accurate to at least 4 decimal places. If you use a signilficance level of a = 05, what would you condlude about these treatments? OThese data do not pravide evidence of a difference between Lhe treatments OThere is a significant difference between treatments
