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In a study of dyslipidemia, a sample of 18 male participants was drawn from male adult population and a sample of 36 female participants was drawn from female adult population to measure their low-density lipoprotein (LDL) cholesterol level in their blood. The study results found 4 participants in the male sample had high LDL level (i.e., LDL level was ≥ 100 mg/dL); and 9 participants in the female sample had high LDL. a) It is postulated that 30% of male adults have high LDL in the male adult population. If this hypothesis is true, what is the probability of observing 4 or less male participants with a high LDL in a male adult sample of size 18? b) At the 0.05 level of significance, test the null hypothesis (state H0, HA, critical value, and pvalue) that the proportions of high LDL are equal among male and female populations. c) Construct a 95% confidence interval for the true difference in population proportions of high LDL (p1-p2) between female and male populations.
The MIT team will receive 2 points for a win, 1 for a tie. and 0 for a loss. Find the PMF of the number of points that the team earns over the weekend.
Judy's measured potassium level varies according to the Normal distribution with mean = 3.8. If a single potassium measurement is made, what is the probability that Judy is diagnosed as hypokalemic?
What are examples from the workplace related to how data are collected and displayed to facilitate the determination of probability in the resolution of business-related and marketing problems?
Accident records given by an insurance company give the following information. The probability that an insured driver has an accident is 0.15. If an accident occurs, the damage to the vehicle amount to 20% of its market value 80% of the time
Find a 95% confidence interval for the proportion p of the inner-city, working-class group who eventually became alcoholics.
Suppose Y is a data matrix, and Z = YF for some orthogonal matrix F, so that Z is a rotated version of Y. Show that the variances of the principal components are the same for Y and Z. (This result should make intuitive sense.) [Hint: Find the s..
The mean amount purchased by a typical customer at Churchill\'s Grocery Store is $23.50 with a standard deviation of $5.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the foll..
Find the LCD for the following rational expressions, and convert each rational expression into an equivalent rational expression with the LCD as the denominator.
Penultimate Support Systems makes fairly good speaker and equipment support stands for music groups. The assembly process involves two operations
In a randome sample of 32 units of this year's version of the Vagabond the mean output power is 42 watts, with a standard deviation of 8 watts.
Construct a test of 20 objective type items in your subject. Administer test to a group of 50 students conduct an item analysis and write a report. Explain the meaning of co-efficient of correlation. Why does the homogeneity and heterogeneity of sco..
State the relevant null and alternative hypotheses and calculate the appropriate test statistic. (By hand or using JMP.)
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