et Y₁, Y2, ..., Yn be a random sample whose probability density function is given by 0 0 elsewhere and suppose that n = 200, Σ²0y₁ = 20, Σ²00 y² = 100, ²00 y³ = 250 and ß = 0.025. Σ?v 33 f(y; B) = 684 e 0, Find an approximate 95% Confidence interval for ß.
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3b.STATISTICAL INFERENCE
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- Hypothesis Testing Question: Is there a statistically significant difference between the proportion of citizens in the United States and Japan without underlying health conditions who have been hospitalized after a COVID-19 diagnosis? The proportion of Americans and Japanese from nationally representative samples of adult citizens from each country who have been hospitalized for one or more days due to COVID-10 infection is reported below. Please include all steps of the five step model and write a sentence or two interpreting your results (use p= .01, Z(critical) = ± 2.58). Americans Japanese Ps1 = .07 Ps2 = .04 N1 = 1325 N2 = 1287Infectious Disease Commonly used vaccines for influenza are trivalent and contain only one type of influenza B virus. They may be ineffective against other types of influenza B virus. A randomized clinical trial was performed among children 3 to 8 years of age in 8 countries. Children received either a quadrivalent vaccine (QIV) that had more than one influenza B virus or a trivalent Hepatitis A vaccine (control). An attack rate (i.e.,% of children who developed influenza) starting 14 days after vaccination until the end of the study was computed for each vaccine group, stratified by age. The following data were reported. age QIV group 3-4 5-8 3.75 1.71 Control group 5.64 5.17 (a) Suppose 3 children in a village ages 3, 5, and 7 are vaccinated with the QIV vaccine. What is the probability that at least one child among the 3 will get influenza? (Round your answer to four decimal places.) (b) Suppose that 80% of 3-4-year-old children and 70% of 5-8-year-old children in a village are…[STATISTICS - ANOVA Table] How do you solve this? The second picture includes the data
- Please help with (D)Chocolate Chip Cookie Calories The average 1-ounce chocolate chip cookie contains 110 calories. A random sample of 14 different brands of 1- ounce chocolate chip cookies resulted in the following calorie amounts. At the a=0.10 level, is there sufficient evidence that the average calorie content is greater than 110 calories? Assume the population is normally distributed. 100 105 160 110 Send data to Excel Part 1 of 5 (a) State the hypotheses and identify the claim. Ho: 110 claim H₁: 110 not claim This hypothesis test is a one-tailed Correct Answer: Ho: μ = 110 not claim H₁: μ> 110 claim This hypothesis test is a one-tailed test. Part 2 of 5 Correct Answer: (b) Find the critical value(s). Round the answer to three decimal places, if necessary. If there is more than one critical value, separate them with commas. Critical value(s): 2.624) Critical value: 1.350 115 115 150 120 190 120 152 100 135 153 Part: 2 / 5 Part 3 of 5 t = test. (c) Compute the test value. Round the sample statistics…just part C thank you!
- Example: Independent t-Test ● A group of 30 people jump into the Atlantic. Their temperature is taken immediately when they get out of the water (mean = 96.3). At the same time, the temperatures of 30 random people waiting on the beach are also taken (mean = 98.4). Do the two groups significantly differ? ● a) What hypothesis test? ● b) Assumptions? (pretend they've all been met) c) Hypotheses? ● ● d) If SE= .6, what is the test statistic? ● e) df=?, Critical value=2.000 f) Conclusion? g) 95% Cl of the drop in temperature? ● ●Hypothesis test For a certain nationwide standardized test there are two commonly used preparation products on the market: StudyFocus and Prepara. A researcher in the Education department at a nearby university wants to determine if there is any difference between the two products on the mean score on the test by their users. The researcher obtains the scores on the test from a random sample of 16 users of StudyFocus and a random sample of 14 users of Prepara. (These samples are chosen independently.) These data are shown in the table. ? StudyFocus Prepara Send data to calculator 408, 400, 460, 587, 485, 559, 470, 439, 453, 531, 491, 481, 529, 494, 581, 397 510, 553, 504, 525, 549, 500, 525, 561, 510, 493, 498, 512, 517, 546 V Scores Send data to Excel Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) Explanation Assume that the two populations of scores are…Part (i) The chance of developing breast cancer is under 11% for women. Ho: M=11, Hg μ#11 Ho: M211, Hg: μ 11 Ho: p=0.11, H₂: P# 0.11 O Ho: Ho: P 20,000, Ο Ηρ: μ 5 20,000, O Ho: p = 20,000, O Ho: p ≤ 20,000, O Ho:p> 20,000, Ho: μ ε 20.000, O Ho: p≥ 20,000, Additional Materials Reading Hg μ 5 20,000 Hg μ > 20,000 Ha: p= 20,000 Hp> 20,000 He: p ≤ 20,000 Hg με 20,000 Ha: p<20,000
- Cost of shopping Do consumers spend more on a trip toWalmart or Target? Suppose researchers interested in thisquestion collected a systematic sample from 85 Walmartcustomers and 80 Target customers by asking customersfor their purchase amount as they left the stores. The datacollected is summarized in the table below.To perform inference on these two samples, what condi-tions must be met? Are they? Explain. Walmart Targetn 85 80y $45 $53s $21 $19Scenario: I'm interested in whether there is a relationship between Team (A vs. B) and Outcome (Good vs. Bad). Below are the data. Test the null hypothesis that the categories are independent. α= .05. Team A Team B Good Outcome fo = 75 fe = fo = 45 fe = Bad Outcome fo = 25 fe = fo = 5 fe = The expected frequency, fe , for the Team A X Good Outcome category = _____Select correct choice &