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My dear student i am allowed to solve one question at a time so i am solving the first question in the pic. Thank you
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X2 the Problem 1 x, ~ normal (M, 3) x₂ ~ normal (M., 1.73). Samples are...
Q1. What is the z-score of the following values? x1=2.7 when M(x)=3, SD(x)=0.5 x2=2.8 when M(x)=3,...
Q1. What is the z-score of the following values? x1=2.7 when M(x)=3, SD(x)=0.5 x2=2.8 when M(x)=3, SD(x)=0.5 x3=3.3 when M(x)=3, SD(x)=0.5 x4=3.8 when M(x)=3, SD(x)=0.5 Q2. What are the percentiles for each z-score above? x1 x2 x3 x4 Q3. You own a big apple tree farm and wondered how many apples each apple tree have on average.You counted the number of apples per apple tree for 25 trees to estimate the number per apple tree at your farm. You found...
Sample 1 Sample 2 n1 = 15 n2 = 13 x1 =54 x2 = s1 =39...
Sample 1 Sample 2 n1 = 15 n2 = 13 x1 =54 x2 = s1 =39 77 s2=46 Independent random samples selected from two normal populations produced the sample means and standard deviations shown to the right a. Assuming equal vanances, conduct the test Ho (μι-μ2) 0 against H. (m-H2)" 0 using α 0 05 b. Find and interpret the 95% confidence interval for (P:- a. Find the test statistic The test statistic is Round to two decimal places as...
WelBWork: Math125-Zin X X M Inbox (523)-gracesalis G Suppose a group of 900 X syllabus Mat121...
WelBWork: Math125-Zin X X M Inbox (523)-gracesalis G Suppose a group of 900 X syllabus Mat121 31,201 X ttps://mathwebworks.wcupa.edu/webwork2/Math125-Zimmer/hw4/3/7key-fK6C321A1aclhwoVzhOSndpcsy6VCOe68user-gs9" Previous Problon Next Problem Problem List (1 point) Two independent samples have been selected, 51 observations from population 1 and 62 observationis from population 2. The sample means have been calculated to be zi 11.8 and z 13.1.From previous experience with these populations, it is known that the variances are a 36 and a 37 (a) Find a- answer 0.05. (b)...
11. Bonus problem (6 points) Assume X,...Xm come from a normal population with unknown variance σ...
11. Bonus problem (6 points) Assume X,...Xm come from a normal population with unknown variance σ' and Y1, Yn come from another normal population with unknown variance and the two samples are independent of each other. Write the 5 steps you will follow to test the hypotheses: Ho-1 Vs Hao #1 Make sure to specify the test statistic and the null distribution (don't forget degrees of freedom), and the rejection region. Hint Remember that-4 ~Xa-1 and-严 (m-1)s2 -X2-1, what do...
For questions 1-3: We saw in class the following problem: In the summer of 2016, raids...
For questions 1-3: We saw in class the following problem: In the summer of 2016, raids variety of pot dispensaries in Toronto. Samples of the confiscated goods were collected as a study of whether THC levels were consistent and also for the presence of were conducted on a any harmful contaminants. Suppose the average THC level (expressed as a percentage) of a sample of 46 dispensary goods was found to be 19.75% with a standard deviation of 0.3951%. 1. In...
(b) (c) and (d) please Problem(5) (a) (1 pt) Let Z~ Normal(0, 1). Recall the definition...
(b)
(c) and (d) please
Problem(5) (a) (1 pt) Let Z~ Normal(0, 1). Recall the definition of z-value, i.e., P(Z > zr) = r. Find the probability of P(-70/2 < 3 < 2a/2). (b) (4 points) Let X1, X2, ... , Xn be a random sample from some population with (un- known) mean u and (known) variance o?. Based on the Central Limit Theorem and part (a) above, show that the confidence intervals for the population mean y can be...
eBook Video Exercise 10.1 (Algorithmic)) Consider the following results for two independent random samples taken from...
eBook Video Exercise 10.1 (Algorithmic)) Consider the following results for two independent random samples taken from two populations. Sample 1 Sample 2 n 50 n2 35 1-1=13.6 X2= 11.1 a. What is the point estimate of the difference between the two population means? | b. Provide a 90% confidence interval for the difference between the two population means (to 2 decimals). c Provide a 95% confidence interval for the difference between the two population means to 2 decimals eBook Video...
PROBLEM 1(35pts) You are charged with conducting an investigation in relation to herbicide pollution of IA lakes. Let X denote the act of measuring the level of a certain chemical in any randomly cho...
PROBLEM 1(35pts) You are charged with conducting an investigation in relation to herbicide pollution of IA lakes. Let X denote the act of measuring the level of a certain chemical in any randomly chosen lake. Assume X N(Hr,ax), and that the lakes to be chosen for testing are such that the data collection variables {X^)% can be assumed mutually independent. Let(ux x ) denote the usual estimators of (Ax O,) Data collected on n-50 lakes resulted in (Ax-323. Ở,-69) (a)(12pts)...
The median wage for economics degree holders is determined by the following equation: log( wage) = Be...
The median wage for economics degree holders is determined by the following equation: log( wage) = Be + B educ + B, exper+ B temure + B.age+ B married + u where educ is the level of education measured in years, exper is the job-market experience in years, tenure is the time spend with the current company in years, age is the age in years and married is a dummy variable indicating if a person is married. 935 reg Iwage...
Problem 2. Consider the following joint probabilities for the two variables X and Y. 1 2...
Problem 2. Consider the following joint probabilities for the two variables X and Y. 1 2 3 .14 .25 .01 2 33 .10 .07 3 .03 .05 .02 Find the marginal probability distribution of Y and graph it. Show your calculations. b. Find the conditional probability distribution of Y (given that X = 2) and graph it. Show your calculations. c. Do your results in (a) and (b) satisfy the probability distribution requirements? Explain clearly. d. Find the correlation coefficient...
Sample 1 Sample 2 n1 = 15 n2 = 13 x1 =54 x2 = s1 =39 77 s2=46 Independent random samples selected from two normal populations produced the sample means and standard deviations shown to the right a. Assuming equal vanances, conduct the test Ho (μι-μ2) 0 against H. (m-H2)" 0 using α 0 05 b. Find and interpret the 95% confidence interval for (P:- a. Find the test statistic The test statistic is Round to two decimal places as...
WelBWork: Math125-Zin X X M Inbox (523)-gracesalis G Suppose a group of 900 X syllabus Mat121 31,201 X ttps://mathwebworks.wcupa.edu/webwork2/Math125-Zimmer/hw4/3/7key-fK6C321A1aclhwoVzhOSndpcsy6VCOe68user-gs9" Previous Problon Next Problem Problem List (1 point) Two independent samples have been selected, 51 observations from population 1 and 62 observationis from population 2. The sample means have been calculated to be zi 11.8 and z 13.1.From previous experience with these populations, it is known that the variances are a 36 and a 37 (a) Find a- answer 0.05. (b)...
11. Bonus problem (6 points) Assume X,...Xm come from a normal population with unknown variance σ' and Y1, Yn come from another normal population with unknown variance and the two samples are independent of each other. Write the 5 steps you will follow to test the hypotheses: Ho-1 Vs Hao #1 Make sure to specify the test statistic and the null distribution (don't forget degrees of freedom), and the rejection region. Hint Remember that-4 ~Xa-1 and-严 (m-1)s2 -X2-1, what do...
For questions 1-3: We saw in class the following problem: In the summer of 2016, raids variety of pot dispensaries in Toronto. Samples of the confiscated goods were collected as a study of whether THC levels were consistent and also for the presence of were conducted on a any harmful contaminants. Suppose the average THC level (expressed as a percentage) of a sample of 46 dispensary goods was found to be 19.75% with a standard deviation of 0.3951%. 1. In...
(b)
(c) and (d) please
Problem(5) (a) (1 pt) Let Z~ Normal(0, 1). Recall the definition of z-value, i.e., P(Z > zr) = r. Find the probability of P(-70/2 < 3 < 2a/2). (b) (4 points) Let X1, X2, ... , Xn be a random sample from some population with (un- known) mean u and (known) variance o?. Based on the Central Limit Theorem and part (a) above, show that the confidence intervals for the population mean y can be...
eBook Video Exercise 10.1 (Algorithmic)) Consider the following results for two independent random samples taken from two populations. Sample 1 Sample 2 n 50 n2 35 1-1=13.6 X2= 11.1 a. What is the point estimate of the difference between the two population means? | b. Provide a 90% confidence interval for the difference between the two population means (to 2 decimals). c Provide a 95% confidence interval for the difference between the two population means to 2 decimals eBook Video...
PROBLEM 1(35pts) You are charged with conducting an investigation in relation to herbicide pollution of IA lakes. Let X denote the act of measuring the level of a certain chemical in any randomly chosen lake. Assume X N(Hr,ax), and that the lakes to be chosen for testing are such that the data collection variables {X^)% can be assumed mutually independent. Let(ux x ) denote the usual estimators of (Ax O,) Data collected on n-50 lakes resulted in (Ax-323. Ở,-69) (a)(12pts)...
The median wage for economics degree holders is determined by the following equation: log( wage) = Be + B educ + B, exper+ B temure + B.age+ B married + u where educ is the level of education measured in years, exper is the job-market experience in years, tenure is the time spend with the current company in years, age is the age in years and married is a dummy variable indicating if a person is married. 935 reg Iwage...
Problem 2. Consider the following joint probabilities for the two variables X and Y. 1 2 3 .14 .25 .01 2 33 .10 .07 3 .03 .05 .02 Find the marginal probability distribution of Y and graph it. Show your calculations. b. Find the conditional probability distribution of Y (given that X = 2) and graph it. Show your calculations. c. Do your results in (a) and (b) satisfy the probability distribution requirements? Explain clearly. d. Find the correlation coefficient...
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