Develop a quadratic spline for the first 5 data points shown in the table below and predict f(3.4) and f(2.2). 1.6 2 2.5 3.2 4 4.5 f (x) 8. 14 15 8 2.
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- A researcher collects data that represents the average number of hours of sleep in the last two nights by 8 depressed patients and 9 non-depressed patients. The researcher is interested in whether the two groups reliably differ in the amount of sleep they get. Use Jamovi to calculate t-obt and the p value.Find the z-score corresponding to a score of X = 45 μ = 40 and σ = 20 μ = 40 and σ =10 μ = 40 and σ = 5 μ = 40 and σ = 2Suppose that the 101 randomly selected eighth-grade students (mentioned in question 6) took a “practice” test similar to the official standardized test a month before the official test was administered. The researchers reported that the (two-tailed) statistical test of the difference between the practice and official test scores resulted in t100 = -2.32, p < .05. (a) Given that the difference score was computed as D = (practice score – official score), do the reported results indicate that students scored significantly higher or lower on the official test relative to the practice test? Explain. (b) If we constructed the corresponding 95% confidence interval for the mean difference (between the practice and official test scores) in the population, would it include zero? Explain.
- An analysis of production rejects resulted in the following figures: (attached) Calculate Karl Pearson’s coefficient of skewness and comment on the results.Find kurtosis by using ungroup data given in the picture using quartile deviation, make sure to arrange data before solving question.At any age, about 20% of American adults participate in fitness activities at least twice a week. However, these activities change as people get older, and occasionally participants cease to be older as they age. In a local survey of n = 100 adults over 40, a total of 15 people indicated that they participated in these activities at least twice a week. Does this data indicate that the percentage of participation for adults over 40 years of age is considerably less than the 20% figure? Find the p-value and use it to draw the appropriate conclusions.