University officials hope that changes have improved the retention rate. In 2018, a sample of 2006 freshman showed that 1521 returned as sophomores. In 2019, 1598 of 2056 freshman sampled returned as sophomores. Determine if there is sufficient evidence at the 0.05 level to say that retention rate has improved.  1. H^0:? 2. H^1:? 3. Critical value(s):? 4. Graph rejection regions with labelled critical value(s) 5. Test statistic: ? (Must state what test stat is being used (z,t, etc.) the formula being used, and what values are substituted into the formula).  6. P-value:? 7. State the conclusion of the test in the constect of the problem (for example, not just "reject null," but what does it mean for this specific problem.

need with bell shape curve please

Given the “data” determined by y = x^3 + (x-1)^2 with x = 0.1, 1.2, 2.3, and 2.9, calculate SSTO, SSR, and R^2. Then recalculate these using x = 0.3, 1, 2.45, and 2.8. Does where you collect your data (i.e., which values of x) appear to impact your interpretation of how good the linear model fits?.

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In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 11 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cm ³. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x=8.09 cm³ and s= 0.8 cm³. Conduct the appropriate test at the a=0.01 level of significance. State the null and alternative hypotheses. Ho H₁: (Type integers or decimals. Do not round.)

4. A simple linear regression is fit to a dataset. Unfortunately, the corresponding ANOVA table is not complete because some quantities in the table are missing due to unknown digital errors. Calculate the missing values, denoted by "?", in the ANOVA table based on the other available values. Is this regression model significant (α = 0.05)? Source Regression Residual Total df ? ? 21 SS ? ? ? MS = SS/df ? 1.13 F-Ratio 430.65 p-value ?

Ankylosing spondylitis is an inflammatory disease which affects the spine and sacroiliac joint and can lead to the fusing of vertebrae in the spine. Exercise is important in helping manage pain, therefore a pharmaceutical company wanted to test if their new biologic would increase the time a patient could exercise before experiencing discomfort. The following table gives the time (in minutes) seven patients were able to exercise before reporting pain, both at baseline and then again after six months of taking the biologic.Exercise Time (in minutes)Subject 1 Baseline 30 Post-treatment 40Subject 245 40Subject 350 60Subject 435 37Subject 555 60Subject 620 25Subject 775 75Assume the population(s) of all exercise times is (are) normally distributed. Use JMP to test whether the evidence suggests that the time a person with ankylosing spondylitis can exercise before experiencing discomfort increases after taking this new biologic. Validate the test statistic from JMP by computing it manually.…

The individual residual scores from a sample of participants regarding the difference between the predicted Y values from a regression equation and the actual Y from the data are provided here. Y - Ŷ = 3,8,1,2,2. What is the value for the standard error of estimate?

Lecture(8.8): The amount of time people engage in physical  activity mat be related to health outcome. Those who report that they spend more than 15 hours are put into one while those who spend less 10 were put into another group. (Those who fall in between 10 and 15 were left out of the study); The reaearcher then ask the participants to wear a monitor for one month. The average time  in minutes is recorded and shown below . Is there any evidence that on average people who watch less than 10 hours    watching televsion spend more time on physical activity.?. Test the hypotheses at (alpha=0.05) using the 5 step procedure <10 hours       75        63      118      35           82 >15 hours      62         6        78       43            22    33

From the image:  One toad in the dataset had a body mass of 128g and a total tested mass of 163 mg. Compute the residual corresponding to this toad and write a sentence interpreting the residual.