You are interested in investigating the efficacy of a new pain medication and design an experiment measuring pain levels before and after the administration of a new medication. You recruit 9 people to participate in your study and bring the same 9 participants in for two separate sessions. What is the degrees of freedom (N-1) of this data?
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- You are a sales manager for a grocery store, and you want to see if the introduction of a new sales promotion will increase the sales in your store. To do so, you decided to create an experiment by giving a small sample of customers the promotion before expanding it to a larger customer base. You gave 18 people the promotion, and also observed the sales of 27 people who did not get the promotion as a control group. You found those who received the promotion to have an average monthly sales of $456.60, with a sample standard deviation of $52.23. You found those who did not receive the promotion had an average monthly sales of $361.46, with a sample standard deviation of $56.11. Suppose you want to use hypothesis testing (two-sample test) to investigate if the promotion has increased the sales of your store. Using the order promotion no promotion in your hypothesis test, what is the value of the test statistic for your analysis? Note: 1- Only round your final answer. Round your final…These 2 questions go hand to handYou are a medical researcher that wants to determine if your new drug can lower people's blood pressure. You recruit 60 participants with high blood pressure to be part of your study. You randomly assign participants to one of three groups to receive either 10 mg of your drug, 5 mg, or 0 mg (given as a placebo control). After 2 weeks, participants' blood pressure is measured and you compare among the 3 groups. Which statistical test would be best to determine if there is a significant difference in blood pressure among the three groups?
- An auto shop wants to examine the proportion of customers that have to return after an appointment. Last year, an examination of 375 customers found that 26.9% had to return after an appointment. You instituted some changes at the auto shop this year, and found from a sample of 430 customers that 33.9% had to return after an appointment. You want to conduct an analysis to determine if there has been an increase in the proportion of customers that need to return after an appointment since the past year, with a significance level of 1%. Using this information, what is the test statistic of your analysis? For the purposes of this analysis, use - Pcurrent year Plast Round any intermediate numbers to four decimal year. places and choose the closest choice to your answer. 2.575 1.03 2.15 1.64 3.30Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.Twenty samples of students from the first year were taken for the study related to fitness level in a university. The researcher has collected the data for a few variables: gender and fitness test score. Fitness Camp No Gender Fitness score Fitness score (Before Attend camp) (After Attend camp) 1 M 444 526 2 F 780 862 3 F 475 557 4 F 490 572 5 M 755 837 6. M 766 848 7 F 540 622 8 M 623 705 9. F 600 682 10 620 702 11 505 590 12 M 640 725 13 F 523 608 14 F 700 785 15 M 710 795 16 M 726 811 17 M 740 825 18 F 550 635 19 F 685 770 20 F 460 545 Range of Fitness Score: 0 to 900 1. Determine whether this set of data is sample or population? Why? Which formulae to be used when calculating the standard deviation of fitness score before and after camp 2. Calculate the standard deviation for fitness score before and after students attended the fitness camp for the whole samples using the formula in (1) 3. Based on the sample standard deviation in part (2), explain whether the fitness camp can…
- You are interested in investigating the efficacy of a new pain medication and design an experiment measuring pain levels before and after the administration of a new medication. You recruit 9 people to participate in your study and bring the same 9 participants in for two separate sessions. Here is the raw data: Pair Number Placebo Pain Score Pain Medication Pain Score 1 2 4 5 6 7 8 9 5 7 10 5 8 7 8 6 8 QUESTION 20 5 5 8 4 4 3 5 3 2 Use the t-test handout printout provided to calculate the t- statistic. What is the t-test statistic value? Round to the nearest tenth. What conclusion would you make on the above data, based on the t-value you calculated and the critical value of t? O You accept the null hypothesis because the t-value you calculated is inside the bounds of the critical t-value O You reject the null hypothesis because the t-value you calculated is inside the bounds of the critical t-value O You reject the null hypothesis because the t-value you calculated is outside the…A psychologist would like to examine the effects of a new drug on the activity level of animals. Three samples of rats are selected with n=5 in each sample. One group gets no drug, one group gets s small dose, and the third group gets a large dose. The psychologist records the activity level for each animal. The data from this experiment are presented below. No drug Small dose Large dose 5, 3 , 1 , 1 , 5 5, 5, 9, 6, 5 10, 12, 9, 6, 8 =3, SS=16 =6, SS=12 =9, SS=20 Do these data indicate any significant differences among the three groups? Test with α=0.05. Compute the effect size and interpret the result.A businesswoman is considering whether to open a coffee shop in a local shopping center. Before making this decision, she wants to know how much money people spend per week at coffee shops in that area. She took a random sample of 26 customers from the area who visit coffee shops and asked them to record the amount of money (in dollars) they would spend during the next week at coffee shops. At the end of the week, she obtained the following data (in dollars) from these 26 customers: 16.63 38.63 15.14 14.47 5.01 63.64 10.19 13.28 32.25 36.00 16.19 65.91 10.28 37.14 3.22 6.92 34.65 6.40 36.35 27.59 38.67 13.18 9.80 9.48 1.21 5.19 Assume that the distribution of weekly expenditures at coffee shops by all customers who visit coffee shops in this area is approximately normal. Round your answers to cents.a. What is the point estimate of the corresponding population mean?x¯=$b. Make a 99% confidence interval for the average amount of money spent per week at coffee shops by all…
- 5. Use the data set 1. This is the result of a randomized trial in Uganda where 10 students in the same village were selected and given a solar-powered reading lamp. The second group was not given any lamp. The number of students out of 10 who improved their school grades for both groups were recorded. The experiment was repeated in 50 villages. Test the hypothesis that solar-powered reading lamps are effective in improving school grades in Uganda.Mandrake Falls High School is experimenting with a weekend course in laboratory techniques. Of the 200 students enrolled in lab classes at Mandrake, only 78 have been able to take the techniques course. Mandrake is interested in evaluating the course's effectiveness in propagating safety in the laboratories. During regular lab classes, lab instructors have recorded harmful lab incidents: accidents, misuse of lab equipment, etc. The school is looking at the data and examining two variables: laboratory performance ("involved in no incident", "involved in exactly one incident", or "involved in 2+ incidents") and status regarding lab techniques course ("took the techniques course" or "didn't take the techniques course"). The contingency table below gives a summary of the data that have been gathered so far. In each of the 6 cells of the table are three numbers: the first number is the observed cell frequency (f); the second number is the expected cell frequency (E) under the assumption…You're trying to find out how many students who graduate with accounting degrees from large universities are employed at graduation. You design an experiment where you collect information on several variables from recent graduates from the University of Florida accounting program. Specifically, you survey 198 alumni about their employment status, age at graduation, gender, and grade point average. What's the population, and what's the sample? The population is everyone at the University of Florida, and the sample is the 198 alumni who returned the survey. The population is the 198 alumni who returned the survey, and the sample is accounting alumni from large universities. The population is college students at large universities, and the sample is accounting students. The population is accounting program alumni at large universities, and the sample is the 198 alumni who returned the survey. Researchers are interested in increasing female participation in the technology…