### Study on the Effect of Alcohol on the Hippocampal VolumeIn a study, researchers aimed to assess how alcohol consumption affects the hippocampal region, the brain area responsible for long-term memory storage in adolescents. The study involved randomly selecting 14 adolescents with alcohol use disorders to determine if their hippocampal volumes were less than the standard volume of 9.02 cm³.**Sample Analysis:**- The mean hippocampal volume from the sample: \( \bar{x} = 8.09 \, \text{cm}^3 \)- Standard deviation: \( s = 0.8 \, \text{cm}^3 \)**Hypothesis Testing:**- Null Hypothesis (\( H_0 \)): \( \mu = 9.02 \)- Alternative Hypothesis (\( H_1 \)): \( \mu < 9.02 \)The statistical test is conducted at a \( \alpha = 0.01 \) level of significance.**Calculation Details:**- **T-Statistic:** - Calculated as \( t_0 = -4.35 \) (rounded to two decimal places)- **P-Value:** - To be determined (round to three decimal places)This analysis is instrumental in understanding whether alcohol use significantly affects brain structure in adolescents, specifically targeting potential reductions in hippocampal volume.

Answered: Image /qna-images/answer/add8035f-bf63-449c-8c3e-2b03bc07351d.jpg

Answered: The researchers randomly selected 14…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The Walting ulme (in minutes) was measured for a random sample of patients with non-life threatening injuries in emergency rooms at four local hospitals who arrived between 2:00 and 3:00pm on a particular Saturday. The results of the ANOVA and the plot of the residuals follow: Analysis of Variance Source Adj MS 169.63 35.12 DF Adj ss F-Value 4.83 P-Value Factor 3. 508.9 0.007 Error 31 1088.7 Total 34 1597.6 Means Factor stDev 4.59 3.99 мean 13.11 14.29 6. B 16.00 7.12 D 10 22.60 6.82 Histogram of Residuals 15 20 10 1s Residuals Using the information in the outputs, is there evidence that the distribution of observations is normal in each hospital's population? O No O Yes Percent 790
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The M&Ms milk chocolate color distribution is the following: 25% blue, 35% orange, 23% red, and 17% brown. In a bag, I found 160 blue M&Ms, 224 orange ones, 169 red ones and 99 brown ones.I am wondering whether my bag of M&Ms is representative of the manufacturer's claim. Calculate the absolute value of the test statistic. number (rtol=0.01, atol=D0.0001) Calculate the absolute value of the test statistic that would correspond to a = 0.05. number (rtol=0.01, atol=D0.0001) Using a level of significance of a = 0.05, do the M&Ms in the bag match the required color distribution? State your decision. O (a) Reject HO O (b) Cannot Reject HO
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Red Blood Cell Count: A simple random sample of 300 adult males is taken to measure the red blood cell count (in cells per microliter). Use a significance level of 0.01 to test the claim that the sample has a mean less than the population mean (μ = 5.4 million cells per microliter). Does the sample have a normal distribution? Explain why. Does the result suggest that the male sample has a red blood cell count below 5.4 million cells per microliter? Determine the descriptive statistics of the sample. State the statistical hypotheses: H0 and HA. Determine the α Is this test one or two tailed? What statistical conclusion did you reach regarding the question being evaluated? RED 4.80 4.73 4.47 4.32 4.95 3.95 4.68 4.60 4.09 5.47 4.44 4.15 5.07 4.38 5.22 4.22 4.32 4.30 6.34 5.60 4.93 5.18 3.54 4.61 4.22 4.99 5.23 4.01 4.07 5.06 4.30 4.28 4.76 4.14 4.61 4.67 4.36 4.28 4.59 4.77 3.86 5.38 5.03 4.60…
In a certain school district, it was observed that 24% of the students were classified as only children (only siblings). However, in the special program for talented and gifted children, 80 out of 286 are only children. The school administrators want to know if the proportion of only the children in the special program is significantly different from the proportion for the school district. Test at the a = 0.02 level of significance. c. Hypotheses for this situation Using the normal approximation for the binomial distribution (without the continuity correction), was is the test statistic for the sample based on the sample proportion? z = To 3 decimal places P-value = To 4 decimal places
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For a freshman taking introductory statistics and majoring in psychology, let X equal the student's ACT mathematics score and Y the student's ACT verbal score. Assume that X and Y have a bivariate normal distribution with x = 22.7, o = 17.64, µy = 22.7, o? = 12.25, and p = 0.78. (a) distribution. Represent P(18.5 < Y < 25.5) by using the CDF of the standard normal (b) Find E[Y|x]. (c) Find Var(Y|x). (d) Represent P(18.5 < Y < 22.5|X = 23) by using the CDF of the standard normal distribution. (e) Represent P(18.5 < Y < 22.5|X = 25) by using the CDF of the standard normal distribution. 2.
Samples were collected from two ponds in the Bahamas to compare salinity values (in parts per thousand). Several samples were drawn at each site. Pond 1: 37.03, 37.45, 36.75, 37.54, 37.71, 37.02, 37.32 Pond 2: 38.89, 39.05, 38.51, 38.53, 38.71 Use a 2% significance level to test the claim that the two ponds have the same mean salinity value. Assume that nothing is known about the population distribution of salinities. (a) Enter the rank values in the same order as in the original sample. The rank values for Pond 1 are: The rank values for Pond 2 are: (b) The test statistic is: . (c) The test critical value is: . (d) The conclusion isA. There is not sufficient evidence to indicate that the two ponds have different distributions of salinity values.B. There is sufficient evidence to indicate that the two ponds have different distributions of salinity values.

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