6. What is the purpose to conduct the Kolmogorov-Smirnov test?

(1) Assume p = 0.5. Use the central limit theorem to estimate the probability that in a poll of 25 people, at least 14 people support the referendum. Your answer to this problem should be a decimal (up to thousandths place).

(2) With p unknown and n the number of random people polled, let be the fraction of the polled people who support the referendum. What is the smallest sample size n in order to have a 90% confidence that is within 0.01 of the true value of p? Your answer to this problem should be an integer

2. Someone claims to have found a long-lost work by Jane Austen. She asks you to decide whetheror not the book was actually written by Austen. You buy a copy of Sense and Sensibility and count thefrequencies of certain common words on some randomly selected pages. You do the same thing for the‘long-lost work’. You get the following table of counts.Using this data, set up and evaluate a significance test of the claim that the long-lost book is by Jane Austen. Use a significance level of 0.1.

(1) Find the least square estimator for c and d in the Model 1.

(2) Find the least square estimator for c and d in the Model 2.

(3) Find (sum of squared residuals of the Model1).

(4) Find (sum of squared residuals of the Model 2).

(5) Find (coefficient of determination in Model 1 and in Model 2 respectively). (6)  According to the value of R2, which Model (Model 1 or Model 2) is better?

1. 旋轉肌受傷會隨年紀增長而增加,此類病患常選擇保守療法治療。請問物理治療師如何對這類病患提供運動訓練?(請說明相關訓練機轉、標的肌肉及方式)(25%)

2. An 18y/o female comes to you complaining of low back pain. She demonstrated paresthesia on the dorsum of the foot and lateral aspect of the leg. Please describe differential diagnosis of lumbar strain and lumbar disc herniation at .5/S1 according to the following aspects: ( 1) injury mechanism; (2) pain; (3) active movement; (4) sensation;(5) special tests.(25%)

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