A research team is investigating the claim that a new sports performance beverage (GatorX) will increase the total time running during match play to at or above 70% of playing time (walking <30% of the time). Based on internal research, the performance company claims that the supplement improves running and sprinting times above the 70% threshold 75% of the time. In this case, on a team of 17 players, that would equate to 13 out of 17 players.   Because of the larger variability in experimental nutrition interventions, the probability of not obtaining the ‘expected’ results (or p-value) is .10 or 90%.  Calculate, a Chi-square test statistic, p-value, and critical value Based on the following outcomes, does the nutritional claim hold weight? Is the null hypothesis that states there will not be a performance effect true or not true? What are some of the limitations with this study?   Match Play Data w/ GatorX     % of time Running Athlete 1 65 Athlete 2 71 Athlete 3 72 Athlete 4 71 Athlete 5 78 Athlete 6 74 Athlete 7 67 Athlete 8 73 Athlete 9 68 Athlete 10 73 Athlete 11 72 Athlete 12 66 Athlete 13 75 Athlete 14 65 Athlete 15 71 Athlete 16 68 Athlete 17 68

In 2016, the New York Times reported that the average American spent 50 minutes per day on Facebook, as compared to an average of 42 minutes per day reading, exercising, or actually socializing combined. You suspect that this gap has widened over the years, and collect a random sample of 100 people. For 50 of them (again, randomly chosen from your sample), you track their time spent on Facebook; you track the other 50 peoples’ total time spent reading/exercising/socializing. (a) Say the 2016 figures regarding Americans’ time allotments still hold true. If the population standard deviation for minutes using Facebook is 12.5 minutes, and the population standard deviation for minutes spent on reading, exercising, and socializing (referred to from here on as ”Other” activities) is 8 minutes, what are the expected value and the standard error of the difference between the average amount of time spent on Facebook and the average amount of time spent on Other activities computed from a sample…

A national study found that treating people appropriately for high blood pressure reduced their overall mortality by 20%. Treating people adequately for hypertension has been diffcult because it is estimated that 50% of hypertensives do not know they have high blood pressure, 50% of those who do know are inadequately treated by their physicians, and 50% who are appropriately treated fail to follow this treatment by taking the right number of pills. Answer the following questions ( please answer all the parts 1,2 and 3): 1) What is the probability that among 10 true hypertensives at least 50% are being treated appropriately and are complying with this treatment?2) What is the probability that at least 7 of the 10 hypertensives know they have high blood pressure? 3) If the preceding 50% rates were each reduced to 40% by a massive education program, then what effect would this change have on the overall mortality rate among true hypertensives; that is, would the mortality rate decrease…

Several states have argued that the 65-mph speed limit has no justification and have refused to enforce it. The federal Department of Transportation (DOT) believes that the 65-mph limit saves lives. To illustrate its contention, the department regressed the number of traffic fatalities (Y) last year in a state on the state’s population (X1), the number of days of snow cover (X2), and the average speed of all cars (X3). The results are shown below. Table 10: Model Summary Model R R Square Adjusted R Square Std. Error of the Estimate 1 .821 a .780 .613 3.258 a. Predictors: (Constant), population, days of snow, average speed   Table 11: Coefficients Coefficientsa Model Unstandardized Coefficients Standardized Coefficients t Sig. B Std. Error Beta 1 (Constant) 1.4 2.957   .473 .584 Population .00029 .00003 .0034 9.667 .000 Days of Snow 2.4 .62 .759 3.871 .000 Average Speed 10.3 1.1…

The website Data USA stated that in 2016, Texas had the lowest number of adults with a serious mental illness with an average of M=3.26% of the population affected. The state of Texas wants to test if they have a significantly decreased number of mental illness patients compared with the states with the (n=8) highest level of mental illness found. In 2016 the following states had the highest level of adult patients with mental illness: Arkansas= 5.45%, Montana=5.34%, Vermont=5.32%, Oregon=5.19%, Utah=5.2%, Ohio=5.13, Kentucky=5.25% West Virginia=5.18%. The alpha level for the study was set to α=.05 for the criteria. a. State the hypotheses of the study. b. Find the critical t value for this study c. Compute the one-sample t test. (Again calculate sample SD or s - and get SEM before calculating t.) d. Compute the Cohen's d for the data (even if not significant) e. State the results - is the sample significantly higher? Do you reject the null hypothesis? Report the t test results in APA…

Some sleep experts believe that sleep apnea is more in men than in the general population. In other words, they claim that the percentage of men who suffer from sleep apnea is greater than 8% (which is the percent believed to affect the population in general).  To test this claim, one sleep expert interviews 50 men and determines that 7 of these men suffer from sleep apnea.  Does this evidence support the claim at that the percentage of men who suffer from sleep apnea is more than 8%?  Use a 0.02 level of significance What are the hypotheses?         What is the test statistic? Is it a z or a t?         Find the P-value for this test statistic. How does it compare to the significance level?  On the normal curve, indicate the location of the test statistic  and  the p-value. (label them on the graph)                 Write a conclusion in statistical terms and relate it to the parameters of this problem.           Note:  The following is not a hypothesis test, but rather a…

Fish produce a hormone called isotocin, a hormone that is similar to oxytocin in mammals. Both hormones, oxytocin and isotocin, have been linked to social behaviors including the suppression of social anxiety, trust, and attachment. Prior to this study the relationship between isotocin in the bloodstream and the amount of aggression or submission individual cichlid fish display was unknown. The researchers hypothesized that isotocin would suppress aggressive behaviors in cichlids to promote social cohesion as these fish exist in large social groups (schools). To address this hypothesis each of 10 fish were exposed to two treatments 1 week apart. One at a time a fish was randomly selected from the group of 10 and either injected with a saline solution ( that served as the control) or with isotocin. After this injection the fish was returned to its group and the amount of aggressive and submissive behaviors the fish demonstrated was recorded for the next 10 minutes. One week later this…

Several states have argued that the 65-mph speed limit has no justification and have refused to enforce it. The federal Department of Transportation (DOT) believes that the 65-mph limit saves lives. To illustrate its contention, the department regressed the number of traffic fatalities (Y) last year in a state on the state’s population (X1), the number of days of snow cover (X2), and the average speed of all cars (X3). The results are shown below. Table 10: Model Summary Model R R Square Adjusted R Square Std. Error of the Estimate 1 .821 a .780 .613 3.258 a. Predictors: (Constant), population, days of snow, average speed   Table 11: Coefficients Coefficientsa Model Unstandardized Coefficients Standardized Coefficients t Sig. B Std. Error Beta 1 (Constant) 1.4 2.957   .473 .584 Population .00029 .00003 .0034 9.667 .000 Days of Snow 2.4 .62 .759 3.871 .000 Average Speed 10.3 1.1…