Find the mean and variance for the random variable Y which is defined below. Y = nX Mean: __________________ Variance: __________________
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Y = nX Mean: __________________ Variance: __________________
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- Determine the mean of X.Determine the mean of Y Determine the variance of X. Determine the variance of Y.A pet association claims that the mean annual cost of food for dogs and cats are the same. The results for samples for the two types of pets are shown below. At a = 0.01, can you reject the pet association's claim? Assume the population variances are not equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. Dogs Cats X = $261 X2 = $226 S, = $39 ৪ = $35 n, = 15 n2 = 9 (a) Identify the claim and state Ho and H. Which is the correct claim below? O A. "The mean annual costs of food for dogs and cats are not equal." OB. "The mean annual costs of food for dogs and cats are equal." OC. The mean annual cost of food for cats is greater than the cost for dogs." O D. "The mean annual cost of food for dogs is greater than the cost for cats." What are Ho and H,? The null hypothesis, Ho, is V The alternative hypothesis, H, is 2 H SH2Miniature Golf Scores A large group of friends went miniature golfing together at a par 54 course and decided to play on two teams. A random sample of scores from each of the two teams is shown. At =α0.01 , is there a difference in mean scores between the two teams? Use the P -value method and a TI-83 Plus/TI-84 Plus calculator. Assume the variables are normally distributed and the variances are unequal. Question table Team 1 47 55 57 49 62 54 61 46 Team 2 53 49 47 46 42 50 43 44 48 Send datato Excel Use μ1 for the mean score of team 1 . (a) State the hypotheses and identify the claim with the correct hypothesis.(b) Find the P -value.(c) Make the decision.(d) Summarize the results.
- Excel Inferences of population variance(s): Buyer’s Digest CaseBuyer’s Digest rates thermostats manufactured for home temperature control. In arecent test, 10 thermostats manufactured by ThermoRite were randomly selected andplaced in a test room that was maintained at a temperature of 68oF. The temperaturereadings of the ten thermostats are shown below:Thermostat 1 2 3 4 5 6 7 8 9 10Temperature 67.4 67.8 68.2 69.3 69.5 67.0 68.1 68.6 67.9 67.2 Buyer’s Digest gives an “acceptable” rating to a thermostat with a temperature variance of 0.5 or less. Given significance level of α = 0.05, use a formal hypothesis test to determine whether the ThermoRite products are “acceptable” in the quality measured in the variance. r the ThermoRite’s claim is valid.At a casino, one lucky player is blindfolded and allowed to pick 5 bills from a bowl containing 25 bills. The bowl contains 6 one hundred dollar bills, 3 fifty dollar bills, and the rest of the bills of various other denominations. The probability is _________________ that exactly 3 one hundred dollar bills will be chosen. Find the variance for the number of one hundred dollar bills that can be chosen. Variance: ______________________The sample variance s2 is an unbiased estimator of the population variance o² when the denominator of s² is a.n Ob.n+1 C. n-1 d. √n-1 Please give solution in correct and step by step detailed format thanku Don't give solution in image format
- A pet association claims that the mean annual cost of food for dogs and cats are the same. The results for samples for the two types of pets are shown below. At a = 0.05, can you reject the pet association's claim? Assume the population variances are not equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. Dogs Cats $223 X2 $188 %3D S1 = $44 S2 = $40 n1 17 n2 14 %3D A. "The mean annual cost of food for dogs is greater than the cost for cats." B. "The mean annual costs of food for dogs and cats are equal." O C. "The mean annual costs of food for dogs and cats are not equal." D. "The mean annual cost of food for cats is greater than the cost for dogs." What are H, and H,? The null hypothesis, Ho, is µ1 = H2: The alternative hypothesis, H2, is µ1 # µ2. Which hypothesis is the claim? The null hypothesis, Ho The alternative hypothesis, Ha (b) Find the critical value(s) and identify the rejection region(s).…Cola Weights For the four samples described in Exercise 1, the sample of regular Coke has a mean weight of 0.81682 lb, the sample of Diet Coke has a mean weight of 0.78479 lb, the sample of regular Pepsi has a mean weight of 0.82410 lb, and the sample of Diet Pepsi has a mean weight of 0.78386 lb. If we use analysis of variance and reach a conclusion to reject equality of the four sample means, can we then conclude that any of the specific samples have means that are significantly different from the others?x f 1 4 2 8 3 7 4 10 5 6 6 3 7 12 8 3 9 5 10 9 find the mean, variance and standard deviation.
- A2A random variable X has only two values a and b with P(X = a) = p , P(X = b) = q (p + q = 1).Find its mean value and variation.If you have a consistent estimator, what will happen as you increase the sample size? (A The variance gets smaller. B The value of the estimator is equal to the value of the parameter. The value of the estimator approaches the value of the parameter. D The standard deviation approaches zero.
