Question

Group0 <- rnorm(10, mean = 10, sd = 8) Group1 <- rnorm(10, mean = 6, sd...

Group0 <- rnorm(10, mean = 10, sd = 8)

Group1 <- rnorm(10, mean = 6, sd = 8)

If we used an LDA with equal prior probabilities (π0 = π1) to classify observations into group 0 or 1, what is the true decision boundary?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
> x=c(5,3,1,6,4,3,2,4,7) > y=c(7,4,1,8,5,2,4,7,9) > mean(x) [1] 3.888889 > mean(y) [1] 5.222222 > sd(x) [1] 1.900292...
> x=c(5,3,1,6,4,3,2,4,7) > y=c(7,4,1,8,5,2,4,7,9) > mean(x) [1] 3.888889 > mean(y) [1] 5.222222 > sd(x) [1] 1.900292 > sd(y) [1] 2.728451 > t.test(x,y,var.equal=T)    Two Sample t-test data: x and y t = -1.203, df = 16, p-value = 0.2465 alternative hypothesis: true difference in means is not equal to 0 95 percent confidence interval: -3.682888 1.016221 sample estimates: mean of x mean of y 3.888889 5.222222 > t.test(x,y,var.equal=F)    Welch Two Sample t-test data: x and y t = -1.203,...
Question (2) [5 marks] (Use R) Suppose you have a company producing cupcakes. Each cupcake is...
Question (2) [5 marks] (Use R) Suppose you have a company producing cupcakes. Each cupcake is supposed to contain 10 grams of sugar. The cupcakes are produced by a machine that adds the sugar in a bowl before mixing everything. You believe the machine does not add 10 grams of sugar for each cupcake. If your assumption is true, the machine needs to be fixed. You stored the level of sugar of thirty cupcakes. Note: You can create a randomized...
1. Consider the data 2, 4, 6, 8, 10, 12 and 14. Store them in ?1,...
1. Consider the data 2, 4, 6, 8, 10, 12 and 14. Store them in ?1, and then (a) Take samples of size 2 with replacement from this population, list all your samples in the table below: 2,2 2,4 2,6 2,8 4,2 4,4 4,6 6,2 8,2 10,2 (b) Now find the mean of each sample, and place all the sample means in the table below: 2 3 4 5 6 7 3 4 4 (c) Complete the following probability distribution...
Suppose a population consists of the four numbers 2, 4, 6 and 8. Consider all random...
Suppose a population consists of the four numbers 2, 4, 6 and 8. Consider all random samples of size n that can be formed by sampling with replacement. Hint: Consider the box below when we make n draws with replacement. ​ What is the sampling distribution of sample mean when n =25? A) Approximately Normal [5, 0.48] B) Approximately Normal [6, 0.49] C) Approximately Normal [4, 0.49] D) Approximately Normal [6, 0.24] E) Approximately Normal [4, 0.24] F) Approximately Normal...
(This is a long one, any answer is much appreciated!) Scenario 6 The mean number of...
(This is a long one, any answer is much appreciated!) Scenario 6 The mean number of business failures in a month is 10. Assume failure rates are the same for any month and are independent of one another. Use Excel to find the following probabilities. (Round probabilities to four decimals). 1) What is the probability of 4 failures in a month? 2) What is the probability of 10 failures in a month? 3) What is the probability of 12 failures...
ASSET X -   YEAR RETURN AVERAGE RETURN 1 10 16.00 2 2 16.00 3 8 4.00...
ASSET X -   YEAR RETURN AVERAGE RETURN 1 10 16.00 2 2 16.00 3 8 4.00 4 4 4.00 5 6 0.00 6 2 16.00 7 10 16.00 8 8 4.00 9 6 0.00 10 4 4.00 TOTAL 60 80.00 AVERAGE RETURN = 6 VARIANCE = 8 STANDARD DEVIATION = 2.83 RISK AND RETURN – (A) Candy is buying only one investment asset and her choice is the Asset X (ABOVE IN CHART), or an asset that paid an average...
1. Is it true that the sample mean is always equal to the population mean that...
1. Is it true that the sample mean is always equal to the population mean that we picked the sample from? Explain. 2. Is it true that the confidence interval is narrower for 95% confidence than for 90% confidence? Explain 3. Is it true that the Sample means are less variable than individual observations as n→∞ ? Explain 4. A newspaper article reports that the average income of Canadian adults is 45000 with a 90% confidence interval of 28000 to...
Exercise 10-6 (LO10-4) The waiting time for customers at MacBurger Restaurants follows a normal distribution with...
Exercise 10-6 (LO10-4) The waiting time for customers at MacBurger Restaurants follows a normal distribution with a population standard deviation of 1 minute. At the Warren Road MacBurger, the quality-assurance department sampled 50 customers and found that the mean waiting time was 2.75 minutes. At the 0.05 significance level, can we conclude that the mean waiting time is less than 3 minutes? State the null hypothesis and the alternate hypothesis. State whether the decision rule is true or false: Reject...
Pair 1 2 3 4 5 6 7 8 9 10 Medication 7 8 9 5...
Pair 1 2 3 4 5 6 7 8 9 10 Medication 7 8 9 5 6 7 7 8 8 7 Placebo 5 5 7 6 8 7 5 9 3 7 (Note: If you’re going to subtract, choose the order medication - placebo.) A sample of patients with similar weight and age characteristics were put in pairs. One patient in the pair was given medication while the other patient was given a placebo. After a month patients were...
Question 3 (10 marks) This question concerns some concepts about hypothesis testing and confidence interval. For...
Question 3 This question concerns some concepts about hypothesis testing and confidence interval. For each part below, you must explain your answer. (a) Suppose we are doing a one-sample t test at the 5% level of significance where the hypotheses are H0 : µ = 0 vs H1 : µ > 0. The number of observations is 8. What is the critical value? [2 marks] (b) Suppose we are doing a hypothesis test and we can reject H0 at the...