Q1: Suppose that Y,.Y2.,Y constitute a random sample from a normal distribution with known mean u and unknown variance a. The most powerful a-level test is sued for testing Họ:g? = a versus HA:02 = o, where af > of. نقطة واحدة *.4 4. If n = 10 and a = 0.05, the critical value k' = 18.307 A. True B. False
Q: -11. Test the clatm that the population means are different. Use level of significance 0.01. sample…
A: Solution: Given information: n1= 49 Sample size of population 1n2= 64 Sample size of population…
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A: Hi! Thank you for the question as per the honor code, we’ll answer the first question since the…
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A: 2) The population variance is 144.
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A: From the given information, n1=17 n2=18 Formula for degrees of freedom is, df=n1+n2-2
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Q: Suppose we want to test the hypothesis of Ho : u 2 1 versus H. : u < 1, and a random sample of n =…
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A: The null and alternative hypotheses are: Ho: \mu_1μ1 = \mu_2μ2 Ha: \mu_1μ1 ≠ \mu_2μ2 This…
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A: GivenMean(μ)=5.4variance(σ2)=0.16standard deviation(σ)=0.16=0.4
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- 26.Do men take more time than women to get out of bed in the morning? The 48 men observed averaged 7.2 minutes to get out of bed after the alarm rang. Their standard deviation was 1.1. The 45 women observed averaged 6 minutes and their standard deviation was 2.5 minutes. What can be concluded at the αα = 0.10 level of significance? For this study, we should use Select an answer t-test for a population mean t-test for the difference between two dependent population means t-test for the difference between two independent population means z-test for the difference between two population proportions z-test for a population proportion The null and alternative hypotheses would be: H0:H0: Select an answer p1 μ1 Select an answer = < ≠ > Select an answer p2 μ2 (please enter a decimal) H1:H1: Select an answer μ1 p1 Select an answer = > < ≠ Select an answer p2 μ2 (Please enter a decimal) The test statistic ? z t = (please show your answer to 3 decimal places.) The…#1) Flying time on an old route between 2 cities has a mean value of µ =5.25 hours with standard deviation is o =0.6 hours. There are 36 flights on a new route where the mean is x = 4.90 hours. Does this indicate that the average flying time for the new route is less than 5.25 hours? Use a 5% level of significance.A nutritionist claims that children 13 to 15 years old are consuming less than the recommended iron intake of 20.5 mg. To test the nutritionist's claim of iron deficiency, a random sample of children 13 to 15 years old will be obtained. Assume that the data for iron intake follows the normal distribution with a standard deviation of 4.75 mg. Find the size of the sample that you should take if you want to estimate the true mean iron intake to within 1 mg with 99% confidence. 62 149 O 150 O 61
- Aspirin is packed in 120 tab bottles with weight normally distributed with mean 600g and standard deviation 6g. Rejected bottles are those whose weight differs from the mean weight by 15g or more. That is, rejected bottles have weight either too small or too large. We want to find out how many bottles will be rejected from a daily production of 5000 bottles. 1,Do we have to calculate one z-score or two z-scores? 2. The negative z-score is 3. The positive z-score is 4.How many bottles, of the 5000, do we anticipate to have to reject?3. The mass of coffee in a randomly chosen jar sold by a certain company may be taken to have a normal distribution with means 203 g and standard deviation 2.5g. (i) Find the probability that a randomly selected jar will contain at least 200g of coffee. Obtain the probability that two randomly selected jars will together contain between 400g and 405g of coffee. (iii) The random variable ī denotes the mean mass (in grams) of coffee per jar in a random sample of 20 jars. Identify the value of a such that P(T – 203| < a) = 0.95. (ii)Say you have two sets of data X1, ..., X10 and Y1,..., Y40. All of this data is considered independent. The first set of data are Normally distributed with mean B and variance 10. The second set of data are Normally distributed with mean y and variance 10. We are trying to estimate 0 = X = X; 18 + y. Consider the estimate ô = }X + Ÿ where 3 4 iX + Y where 10 vi=1 1 10 and Y = E Y;? 40 vi=1 40 (a) What is the mean, variance and distribution of 0? (b) What is the probability that 0 is larger than 1 away from 0? (c) What is the bias, variance and MSE of the estimate 0 for estimating 0?
- Q1// Choose the correct answer with all explanations 1. The standard deviation of binomial distribution is a. Vnpq b. npq c. np?q с. d. np 2. For two correlated variables x and y, if coefficient of correlation between x and y is 0.8014, variance of x and y are 16 and 25 respectively. Then the covariance between x and y is: a. 162.08 b. 16.028 c. 160.28 d. 16.208 3. In how many ways can we sort the letters of the word MANAGEMENT so that the comparative position of vowels and consonants remains the same as in MANAGEMENT? а. 1280 b. 720 с. 960 d. 1080 4. The normal distribution depends on which of the following? a. Mean and standard deviation b. Sample size and probability of success c. Standard deviation and number of success d. Mean and probability of success 5. The successful life of product, the time, the weight and the height are classified as: a. Continuous random variables b. Discrete random variables c. Continuous waiting time variables d. Continuous hyper geometric variables.Q2_____ 21. Suppose the test for normality of number of ears (X) gave significant results (p < 0.001). Which statistical test is most appropriate to compare nitrogen rates in terms of the number of ears? A. Cochran’s Q B. Friedman’s C. Kruskal Wallis test D. Anova F-test _____ 22. Which of the following will be appropriate to compare the proportion of susceptible plants among nitrogen rates? A. Cochran’s Q B. Friedman’s C. Kruskal Wallis test . D. Anova F-test _____ 23. Which of the following is (are) TRUE about Cochran’s Q? It is used to compare proportions when the response of interest is dichotomous. It may be used for analysis of qualitative variables. A. I only B. II only C. Both I and II D. Neither I nor II _____ 24. The tests of assumptions for yield gave values for Levene’s statistic and Shapiro-Wilk’s as 0.0562 and .00271, respectively. At , which statistical test is most appropriate to compare the yield among the nitrogen rates? A. Cochran’s Q B. Friedman’s C .…
- 3.2.41 The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 253.3 and a standard deviation of 66.3. (All units are 1000 cells/ul.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 120.7 and 385.9? Question Help ▼ b. What is the approximate percentage of women with platelet counts between 187.0 and 319,6? a. Approximately % of women in this group have platelet counts within 2 standard deviations of the mean, or between 120.7 and 385.9. (Type an integer or a decimal. Do not round.) Enter your answer in the answer box and then click Check Answer. Check Answer Clear All 1 part remaining MacBook Air %23 6. E R Q D M4. Let X be a random variable representing dividend yield of Australian bank stocks. We may assume that X has a normal distribution with standard deviation = 2.4%. A random sample of 19 Australian bank stocks has a sample mean of = 8.71%. For the entire Australian stock market, the mean dividend yield is = 5.9%. Do these data indicate that the dividend yield of all Australian bank stocks is higher than 5.9% ? Use Q=.05. Are the data statistically significant at the given level of significance? Based on your answers, will you reject or fail to reject the null hypothesis? A. The p-value is less than the level of significance and so the data are not statistically significant. Thus, we reject the null hypothesis. B. The p-value is less than the level of significance and so the data are statistically significant. Thus, we fail to reject the null hypothesis. C. The p-value is greater than the level of significance and so the data are statistically significant. Thus, we fail to reject the…a and b working together can do a given job in 4 days, b and c together can do the job in 3 days, and a and c together can do it in 2.4 days. in how many days can they finish the job all together? Answer is 7 days. Please show your solution.