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- When determining whether grounding accidents and hull failures result in different spillage (is there a difference between spills caused by grounding or hull failures) would I use a two tail t test to decide this?An entomologist believes that the median body length of lady beetles is 15.0 millimeters. A random sample of 16 lady beetles were measured and recorded as in the table below. 14.5 15.2 15.2 15.4 15.4 15.0 14.9 14.6 15.0 15.1 15.1 14.8 15.6 15.1 15.4 15.5 At α = 0.05, test the claim that the lady beetles’ body length is different from theestimated length.The anterior cruciate ligament (ACL) runs diagonally in the middle of the knee. The article “Return to Sport After Pediatric Anterior Cruciate Ligament Reconstruction and Its Effect on Subsequent Anterior Cruciate Ligament Injury” (T. Dekker, J. Godin, et al., Journal of Bone and Joint Surgery, 2017:897–904) reported results for 85 young athletes who suffered anterior cruciate ligament (ACL) injuries. Of the 85 injuries, 51 were to the left knee and 34 were to the right knee. Can you conclude that more than half of ACL injuries are to the left knee?
- In a random sample of 765 adults in the United States, 122 of them said if they had to cover a $400 emergency expense, they would need to use a credit card and pay it back over time. a. what is the parameter being estimated b. what is the sample proportion (must show work)Evans conducted a study to determine if the frequency and characteristics of pediatric problems in elderly patients with diabetes present differences with respect to patients of the same age, but without diabetes. The individuals studied, interned in a clinic, were between 70 and 90 years old. Among the researchers' findings are the following statistics. with respect to the scores on the deep tendon reflexes meters:Sample without Diabetes: 79 / 2.1 / 1.1With Diabetes: 74 / 1.6 / 1.2Is it possible to conclude, based on the data, that, on average, diabetic patients they have reduced deep tendon reflexes in comparison with patients without diabetes of the same age?The article “Structural Performance of Rounded Dovetail Connections Under Different Loading Conditions” (T. Tannert, H. Prion, and F. Lam, Can J Civ Eng, 2007:1600–1605) describes a study of the deformation properties of dovetail joints. In one experiment, 10 rounded dovetail connections and 10 double rounded dovetail connections were loaded until failure. The rounded connections had an average load at failure of 8.27 kN with a standard deviation of 0.62 kN. The double-rounded connections had an average load at failure of 6.11 kN with a standard deviation of 1.31 kN. Can you conclude that the mean load at failure is greater for rounded connections than for double-rounded connections?
- Lactation promotes a temporary loss of bone mass to provide adequate amounts of calcium for milk production. The paper “Bone Mass Is Recovered from Lactation to Postweaning in Adolescent Mothers with Low Calcium Intakes” (Amer. J. of Clinical Nutr., 2004: 1322–1326) gave the following data on total body bone mineral content (TBBMC) (g) for a sample both during lactation (L) and in the postweaning period (P). SubjectL 1928 2549 2825 1924 1628 2175 2114 2621 1843 2541P 2126 2885 2895 1942 1750 2184 2164 2626 2006 2627 Does the data suggest that true average total body bone mineral content during postweaning exceeds that during lactation by more than 25 g? State and test the appropriate hypotheses using a significance level of .05.Suppose a study reported that the average persin watched 3.37 hours of television per day. a random sample of 15 people gave the number of hours of television watched per day shown below. at the 1% significance level, do the data provide sufficent evidence to conclude that the amount of television watched per day last year by the average person is greater than the value reported in the study? A.select the correct parameter. a.the average number of hours that all people watch tv b. the average number of hours that the 15 people watch tv c. the fraction of hours people watch tv d. the total number of hours that a person watches tv B. select the correct hypotheses: a. Ho: mu= 3.37 Ha: mu is greater than 3.37 b. Ho: mu=4.103 Ha: mu is greater than 4.103 c.Ho: p=3.37 Ha: p is less than 3.37 d.Ho: mu=3.37 Ha: mu is less than 3.37 C. which of following statements best describes the sampling distribution? a. the sampling distribution is normal with mean 3.37 hours and standard deviation…According to recent UN figures, the annual gun homicide rate is 62.4 per one mil- lion residents in the US and 1.3 per one million residents in Britain. Compare the proportion of residents killed annually by guns using the (a) difference of propor- tions, (b) relative risk. Which measure is more useful for describing the strength of association? Why?
- Data on pull-off force (pounds) for connectors used in an automobile engine application are asfollows:79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1,75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8.a) Check the assumption that pull-off force is normally distributed. Include a graphical display in youranswer.b) Calculate a point estimate of the mean pull-off force of all connectors in the population. State whichestimator you used and why.c) Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectorsin the population from the strongest 50%.A study of college students in the city of Pemblington found that 8% had been victims of violent crimes. a) statistics b) parameterAn article reports the following values for soil heat flux of eight plots covered with coal dust. 37.9 37.8 37.9 35.1 35.5 27.5 18.3 24.1 The mean soil heat flux for plots covered only with grass is 29.0. Assuming that the heat-flux distribution is approximately normal, does the data suggest that the coal dust is effective in increasing the mean heat flux over that for grass? Test the appropriate hypotheses using ? = 0.05.State the appropriate hypotheses. H0: ? = 29Ha: ? > 29H0: ? = 29Ha: ? < 29 H0: ? = 29Ha: ? ≠ 29H0: ? ≠ 29Ha: ? = 29 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. Reject the null hypothesis. There is sufficient evidence to conclude that there was an increase in mean heat flux.Do not reject the null hypothesis. There is sufficient evidence to conclude that…