Generate a sample using Bernoulli distribution
Q: Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses,…
A: Degrees of freedom = n₁+n₂ -2 = 12+10-2 = 20
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A: Claim: Average weight is higher for the mice those are in lights on at night than the average weight…
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Q: 35 - 65 e 24 /24F 91 99 110 91 144 176 80 86 124
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Q: Sample 1 n1 = 20 x₁ = = 22.7 S₁ = 2.6 $1 Sample 2 72 = 30 x₂ = 20.1 $₂ = 4.4
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A: Given information: μ=50, σ=7.5n=36 a) μx¯=μ=50σx¯=σn=7.536=1.25
Q: Construct the 90% interval estimate for the ratio of the population variances usi
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Q: An IQ test is designed so that the mean is 100 and the standard deviation is 18 for the population…
A: Given Information : An IQ test is designed so that the mean is 100 and the standard deviation is 18…
Q: The pulse rates of 215 randomly selected adult males vary from a low of 33 bpm to a high of 121 bpm.…
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(R QUESTION)
1) Generate a sample using Bernoulli distribution
2) Define a
3) Apply either the nlm or mle function to find the estimate for the parameter of the distribution.
4) Repeat steps 1-4 for a sample of different size and for different initial parameter of p (you can create new chuck for this question)
Compare the results to the MLE for p derived analytically.
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- In statistical testing, based on this given below, we could use parametric (ANOVA) or non parametric (Kruskal-Wallis) for testing the hypothesis. Using normality testing -- analytically and graphically, decide wether we use an anova (normally distributed) or kruskal-wallis test (not normally distributed).25 versus H1: µ 7 25. The population variance, o?, ', is Suppose you perform the hypothesis test Ho :u known. The sample size is n = 53. Assume the significance level is 0.01. Part 1: 1) Should you use z or t to find the critical value? Ot Part 2 of 4 Part 2: 2) Choose the correct critical region. Reject Ho if z > Za Reject Ho if z za Reject Ho if z Reject Ho if z Za O Reject Ho if z > zg Reject Ho if z Za Reject Ho if z < Za Reject Ho if z < Za or z za Reject Ho if z < Za O Reject Ho if z < - zg or z 2 zSnow avalanches can be a real problem for travelers in the western United States and Canada. A very common type of avalanche is called the slab avalanche. These have been studied extensively by David McClung, a professor of civil engineering at the University of British Columbia. Suppose slab avalanches studied in a region of Canada had an average thickness of u = 67 cm. The ski patrol at Vail, Colorado, is studying slab avalanches in its region. A random sample of avalanches in spring gave the following thicknesses (in cm). 59 51 76 38 65 54 49 62 68 55 64 67 63 74 65 79 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) X= cm S= cm (ii) Assume the slab thickness has an approximately normal distribution. Use a 1% level of significance to test the claim that the mean slab thickness in the Vail region is different from that in the region of Canada. (a) What is the level of significance? State the null and…
- You are testing the claim that having lights on at night increases weight gain (abstract). A sample of 10 mice lived in an environment with bright light on all of the time and 8 mice who lived in an environment with a normal light/dark cycle is given below. Test the claim using a 10% level of significance. Assume the population variances are unequal and that the weight changes are normally distributed. Give answers to 3 decimal places. Data available at StatKey, choose Mice Wgt Gain-2e data set Light (x₁) 1.71 4.67 4.99 5.33 5.43 6.94 7.15 9.17 10.26 11.67 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem. Ho: Select an answer ? V Select an answer V Ha: Select an answer ✓ Based on the hypotheses, find the following: Test Statistic = Dark (₂) 2.27 2.53 2.83 4 4.21 4.6 5.95 6.52 p-value = ? V Select an answer V (Hint: difference in means from Ha) The correct decision is to Select an answer…Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal. Test Ho : HA = Ha VS H. : HA # Hg using the fact that Group A has 8 cases with a mean of 125 and a standard deviation of 18 while Group B has 15 cases with a mean of 118 and a standard deviation of 14. (a) Give the test statistic and thep-value. Round your answer for the test statistic to two decimal places and your answer for the p- value to three decimal places. test statistic = p-value = eTextbook and Media (b) What is the conclusion of the test? Test at a 10% level. O Reject Ho. O Do not reject Ho. eTextbook and MediaHW9Q17 PART B: FIND CRITICAL VALUE(S) PART C: DRAW A T DISTRIBUTION THAT DEPICTS THE CRITICAL REGION PART D: WILL THE RESEARCHER REJECT THE NULL HYPOTHESES?
- J 2 We want to estimate the proportion of defective parts produced by a machine and the estimation will be through a two-sided confidence interval and simple random sampling with replacement. a) Assuming a confidence level of 90% and a margin of error of 3%, what is the required sample size? (Assume maximum variance). b) Assuming a 90% confidence level and a 3% estimation error, what is the required sample size? (Assume maximum variance).Which of the following methods from Python's scipy.stats submodule is used to calculate a confidence interval based on the Student's t-distribution? Select one. Note: st is from the import command import scipy.stats as st st.norm.confidence_interval st.t.confidence interval st.t.normal st.t.intervalAn IQ test is designed so that the mean is 100 and the standard deviation is 14 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 2 IQ points of the true mean. Assume that σ=14 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.The required sample size is
- You are testing the claim that having lights on at night increases weight gain (abstract). A sample of 10 mice lived in an environment with bright light on all of the time and 8 mice who lived in an environment with a normal light/dark cycle is given below. Test the claim using a 2% level of significance. Assume the population variances are unequal and that the weight changes are normally distributed. Give answers to 3 decimal places. Data available at StatKey, choose Mice Wgt Gain-2e data set Light (1) 1.71 4.67 4.99 5.33 5.43 6.94 7.15 9.17 10.26 11.67 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem. Ho: ₁ Test Statistic = Dark (₂) 2.27 2.53 2.83 4 4.21 4.6 5.95 6.52 Ha: ₁ Based on the hypotheses, find the following: p-value = = V Select an answer ✓ Select an answer (Hint: difference in means from H₂) The correct decision is to fail to reject the null hypothesis The correct summary…Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance a, and sample sizes n, and n. Assume that the samples are independent, normal, and random. Answer parts (a) and (b). Hg P2. a= 0.20, n, =6, n2 = 8 (a) Find the critical value(s) assuming that the population variances are equal. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) (b) Find the critical value(s) assuming that the population variances are not equal. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) Enter your answer in each of the answer boxes. DELLQuestion 2: Suppose your research team has just completed research and has collected data from a sample of N. You have chosen a normal distribution to create a maximum likelihood estimate. (1) Write down the maximum likelihood estimate, solve the estimation method and discuss its statistical properties.< (2) You are suddenly informed by your research site that M samples from one area have collectively and deliberately misrepresented the data you collected upwards by a consistent margin because they were told to do so. Discuss how to revise your maximum likelihood estimate.< (3) Your research team member tells you that Z samples in one area have a distribution that is not normal because of the particular local folklore. Please choose a distribution at random to represent these Z samples and write the joint distribution.<
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