1.The probabilities that a person will buy 3,4, 5, 6, 7 orders of milk tea during an enhanced communityquarantine period 0.15, 0.10,0.30, 0.25, 0.20, respectively. Find the ave rage number of times that a person will buymilk tea during the enhanced community quarantine period. Compute for th e variance and standard deviation.Note: SOLUTIONS AND FINAL ANWERS AT THE BACK.

Given that X=order of milk tea during an enhance community. Pi= Probability of x. Formula used.…

Answered: 1.The probabilities that a person will…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with u = 520. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 525 with a standard deviation of 110. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below. O A. Ho: H= 520, H,: µ> 520 %3D B. Ho: μ 520 С. Но: и> 520, Hа: p#520 D. Ho: и%3D520, Hа: p#520 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 525 statistically significantly higher than 520? Conduct a hypothesis test using the P-value approach. Find the test statistic. to = %3D
2. Let X - tp. Verify the mean and variance formulas. (Hint: Let X = p/2UV-1/2.)
2) In the population, IQ scores are normally distributed with a mean of 100 and standard deviation of 15. We repeatedly pulled random samples of 50 individuals from the population and measured their IQ and the resulted mean was 92 with a standard deviation of 8. Test at a =0.05 significance if there is any statistically significant difference in the variance of the result. D. Focus DELL
Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 35 minutes and a standard deviation of 3 minutes, while method B has a mean of 39 minutes and a standard deviation of 1.5 minutes. Which procedure is preferred if the procedure must be completed within 34 minutes? Which procedure is preferred if the procedure must be completed within 40.0 minutes? Which procedure is preferred if the procedure must be completed within 43 minutes?
Suppose X, Y and Z are 3 random variables. The mean of X is 2. The mean of Y is 3. The mean of Z is 4. The standard deviations are 1, 2, and 3 (in the same order). The correlation between any two is -1/4. Find the mean and variance of T = X +Y+ 2Z.
Write complete and legibly.
Assume that you have been provided the following information for a sample of cars The covariance between weight and miles per gallon is equal to -4.9 pound-miles. The standard deviation of the cars' mileages is 7.75. The standard deviation of the cars' weights is 0.94. Estimate the correlation coefficient to the first decimal place.
A firm produces calculators. It manager claims that its calculators are good, on average, for at least 58 months. A consumer protection agency tested 16 such calculators to check this claim. He found the mean life of these calculators to be 55 months with a variance of 9 months. Can you conclude that the claim of this company is true? Use a = 0.05. Assume that the life of such a calculator has an approximately normal distribution. According to this information the null and alternative hypotheses are: H0: μ ≤ 58 H1: μ > 58 Select one: True False
A math teacher claims that the mean scores on a math assessment test for fourth grade boys and girls are equal. The mean score for 13 randomly selected boys is 151 with a standard deviation of 36, and the mean score for 15 randomly selected girls is 149 with a standard deviation of 34. At α = 0.01, can you reject the teacher's claim? Assume the populations are normally distributed and the population variances are equal.
Given that the variances of random variables X and Y are 1600 and 900, respectively. The correlation between X and Y is 0.64. Find Var (X +Y).
P and A are independent, random variables. mean of P is 5 and its standard deviation is 3. mean of A is -2 and standard deviation is 6. what is mean of T= - 3P + 20 ? what is the mean of W= A - P? what is variance of D= P - 2A ?
Given that the variances of random variables X and Y are 484 and 625, respectively. The correlation between X and Y is -0.52. Find Var (X-Y).

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