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- Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 74.4 96 83.2 65 63.9 64.3 74.4 69 68.4 88 Test grades are believed to be normally distributed.Use a significance level of 5%. State the alternative hypothesis: HA:HA: μ>65μ>65 μ<65μ<65 μ≠65μ≠65 State the mean of the sample: (Round to two decimal places.) State the standard error of the sample means: (Round to four decimal places.) State the test statistic: t=t= (Round to four decimal places.) State the p-value: (Round to four decimal places.) Decision: Reject the null hypothesis. Do not reject the null hypothesis.statistics and propability please give me ful answer thanks 1 UIIT is giving two training programmes. Two groups from BSSE were trained for the same task. For the first group trained by programme A, it took a mean of 28.74 hours with a variance of 79.39. For the second group trained by programme B, it took a mean of 20.5 hours with a variance of 54.76. Which training program has less variability in its performance?Statistics students believe that the mean soore on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 96 69 83.2 69 65 85.5 74.4 65 85.5 66.5 Test grades are believed to be normally distributed. Use a significance level of 5%. A. State the alternative hypothesis: H: Ομ 65 B. State the mean of the sample: (Round to two decimal places.) C. State the standard error of the sample means: (Round to four decimal places.) D. State the test statistic: t = (Round to four decimal places.) E. State the D-value; (Round to four decimal places.) F. Decision: O Do not reject the null hypothesis. O Reject the null hypothesis. Submit Question
- Using the data from the table Disease or illness less than $35,000 $35,000 - 49,999 $50,000 - 74,999 $75,000 - 99,999 $100,000 or more Coronary heart disease 8.1 6.5 6.3 5.3 4.9 Stroke 3.9 2.5 2.3 1.8 1.6 Emphysema 3.2 2.5 1.4 1.0 0.8 Chronic bronchitis 6.3 4.0 4.4 2.2 2.4 Diabetes 11.0 10.4 8.3 5.6 5.9 Ulcers 8.7 6.7 6.5 4.7 4.4 Kidney disease 3.0 1.9 1.3 0.9 0.9 Liver disease 2.0 1.6 1.0 0.6 0.7 Chronic arthritis 33.4 30.3 27.9 27.4 24.4 Hearing trouble 17.2 16.0 16.0 16.2 12.4 Vision trouble 12.7 9.8 7.5 5.7 6.6 No teeth 11.6 7.8 5.5 4.2 4.1 A) create a line graph plotting Annual family income on the x-axis and prevalence of disease or illness on the y-axis. Include all data points for each disease on the same chart ( i.e.? plot the prevalence for each disease or illness as it's own line on a single chart) B) do any of the chronic disease in the table appear to have a dose-response relationship to annual family income? Justify your…Statistics are widely used in Major League Baseball. Does a baseball player's batting average (AVG) determine their salary? The following is a chart of 25 baseball players' statistics from 2016. Let the explanatory variable x = AVG and the response variable y= Salary. Player RBI HR AVG Salary (in millions) Buster Posey 80 14 0.288 20.802 Mark Teixeira 44 15 0.204 23.125 Aaron Hill 38 10 0.262 12.000 Hunter Pence 57 13 0.289 18.500 Coco Crisp 55 13 0.231 11.000 Jacoby Ellsbury 56 9 0.263 21.143 Chris Davis 84 38 0.221 21.119 Jean Segura 64 20 0.320 2.600 Troy Tulowitzki 79 24 0.256 20.000 Justin Smoak 34 14 0.217 3.900 Leonys Martin 47 15 0.245 4.150 Hanley Ramirez 111 30 0.286 22.750 Adrian Beltre 104 32 0.300 18.000 Adrian Gonzalez 90 18 0.285 21.857 Adam Jones 83 29 0.265 16.000 Joe Mauer 49 11 0.261 23.000 Chris Iannetta 24 7 0.210 4.550 Curtis Granderson 59 30 0.237 16.000 Jason Heyward 49 7 0.230 21.667 Prince Fielder 44 8 0.212 18.000…re is a bivariate data set. x y 24.8 12.9 35.2 39.9 -1.9 -21 49.5 39.4 29 35.7 34.5 23.8 25.8 12.3 48.7 85.2 23 3.1 23.4 22.7 22.9 3.2 41.7 41.2 36.4 4.9 21.3 23.4 -0.7 5.5 34.8 79.7 Find the correlation coefficient and report it accurate to three decimal places.r = What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place.r² = %
- Net assets for the 50 packaged beverage companies represent a median value of $ 10 million. Examples of 10 carbonated beverage companies from 50 packaged beverage companies are as follows (table below): Company Net Asset ($ million) A 6.1 B 11.7 C 22.4 D 9.6 E 9.6 F 14.5 G 15.0 H 6.6 I 6.9 J 4.9 Using the median, can we conclude that the ten carbonated beverage companies have less net assets than packaged beverage companies' net assets? use:a. What is the hypothesis for this test? b. Determine the p-value? What's your conclusion?Determine which statistic you would use. 1. A psychologist studied if cognitive intelligence was associated with emotional intelligence in50 people. Cognitive intelligence was measured by averaging each person’s scores on tests ofvocabulary and visual problem solving. Emotional intelligence was measured by theparticipant’s score for accurately describing the moment-by-moment emotional reactionsof three people in a filmed interaction 2. A psychologist is interested in whether exercise increases the intensity of REM sleep in adults in three age groups (younger, middle age, older) She obtains 40 people in each age group and randomly assigns half of them to daily exercise or not in a 2 (exercise vs. not) X 3 (age group) design • REM sleep is measured by rating the vividness of dreams recorded in daily dream diaries collected for one week– Bland dreams = 1; very vivid dreams = 5 3. A psychologist believes physical experiences influence perception, such that a hill will appear steeper if…Q个4 3 of 6 200% 5.) If the number 12.3 were added to the dataset below, which statement best describes how its mean and median would change? 70.1, 72.3, 75.6, 78.9, 81.0, 83.8, 84.5, 91.2 A.) The mean and median both decrease, but the mean decreases more. B.) The mean and median both decrease, but the median decreases more. C.) The median doesn't change, but the mean decreases. D.) The mean doesn't change, but the median decreases. 021 Illuminate EducationTM, Inc. ? XP OCa 29
- The number of hours 13 students spend studying and their test scores are given below.Hours Spend Studying 0 1 2 4 4 5 5 5 6 6 7 7 8Test Scores 40 41 51 48 64 69 73 75 68 93 84 90 95A) Which is the predictor variable, and which is the response variable?12.2 ONLY!What do the box plots tell you about the variability of the data? a. A has greater variability because its median and mean are greater than B b. B has greater variability because its range and IQR are greater tha c. B has greater variability because its median & mean are greater than A d. A has greater variability because its range & IQR are greater than B