Two groups of individuals were compared with respect to a high carbohydrate low-fat diet (LF) and a high-fat low carbohydrate diet (LC). Mood was assessed using atotal mood disturbance score where a lower score is associated with a less negativemood. Assuming that the random samples come from independent normaldistributions with a common but unknown variance, construct a 95% confidenceinterval for the difference between the two population means, LC less LF.GroupLCLF28+22.3728+18.5628+22.3028±8.96n1213mean47.319.3standard deviation28.325.8

Given: n1 = 12 X1 = 47.3 s1 = 28.3 n2 = 13 X2 = 19.3 s2 = 25.8 Formula Used: Confidence interval =…

Answered: Two groups of individuals were compared…

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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In attempting to improve student services, a college investigates its registration process and finds that for 12 randomly selected students, the mean registration time was 73.2 minutes with a standard deviation of 14.2 minutes. Another college finds that for 15 randomly selected students, the mean registration time was 42.3 minutes with a standard deviation of 9.8 minutes. At the 0.01 significance level, test the claim that the two samples came from populations with the same means. Assume equal population variances.
A study was conducted to identify if there is a significant difference with two brands of shampoo. Random sample A of 25 sheets of shampoo with a mean content of 237 grams and standard deviation of 8.56 grams. Another sample B of 20 sheets pf shampoo showed a mean content of 240 grams and standard deviation of 9.75 grams. Using 0.05 level of significance, conduct hypothesis testing assuming that variances are equal.
For an analysis of variance (ANOVA) comparing four treatment conditions, dfbetween = 3. True False
The number of grants of carbohydrates contained 1-ounce servings of randomely selected chocolate and non-chocolate candy is listed below. Is there evidence to conclude that there is a difference between in mean carbohydrates between chocolate and non-chocolate candies? Use the unequal variance T-test and significant level =.05. Assume carbohydrates per serving is normally distributed for both types of candy. Chocolate:29,25,17,36,41,25,32,29,38,34,24,27,29 Non-chocolate: 41,41,37, 29,30,38,39,18,29,55,29 a.) State the null and alternative hypotheses. b.) Identify test statistic and p-value. c.) Make a decision, reject Ho or not? D.) Summarize the results in a sentence.
In attempting to improve student services, a college investigates its registration processand finds that for 12 randomly selected students, the mean registrationi timewas 73.2 minutes with a standard deviation of 14.2 minutes. Another collegei findsthat for 15 randomly selected students, the mean registration time was 42.3 minutes with a standard deviation of 9.8 minutes. At the 0.01 significance level, test the claim that the two samples came from populations with the same means. Assumeequal population variances.
The Batteries sheet of the Data Excel file shows the results of two random samples that measured the average number of minutes per charge for AA Lithium-ion (Li-ion) rechargeable batteries versus Nickel-Metal Hydride (NiMH) rechargeable batteries. Perform a hypothesis test using significance level (α) = 0.05 to determine if the true average number of minutes per charge for NiMH batteries is smaller than that for Li-ion batteries. Let:µLi-ion be the true average number of minutes per charge for Li-ion batteries µNiMH be the true average number of minutes per charge for NiMH batteries. t-Test: Two-Sample Assuming Unequal Variances NiMH Li-ion Mean 89.35714 95 Variance 3.93956 59.75 Observations 14 17 Hypothesized Mean Difference 0 df 19 t Stat -2.89621 P(T<=t) one-tail 0.004628 t Critical one-tail 1.729133 P(T<=t) two-tail 0.009255 t Critical two-tail 2.093024 Based on the…
In the attached picture, the data for the perceived level of stress of 30 employees is recorded. Also, researchers exposed the employees to either early or late stressors before completing the stress questionnaire. Attached is also the output for the data after conducting a two way ANOVA Discuss the two kinds of variance here, and indicate how they are compared to conclude a significant difference.
In a manufacturing process, a random sample of 9 manufactured bolts has a mean length of 3 inches with a sample variance of .09 and is normally distributed. What is the 90 percent confidence interval for the true mean length of the manufactured bolt?
A large p-value indicates that the data is consistent with the alternative hypothesis. True or false?
A 30 month study is conducted to determine the difference in rates of accidents per month between two departments in an assembly plant. If a sample of 12 from the first department averaged 12.3 accidents per month with a standard deviation of 3.5, and a sample of 9 from the second department averaged 7.6 accidents per month with standard deviation of 3.4, find: The pooled variance estimator (sp2) (round off to three decimal places) is:
In a random sample of 41criminals convicted of a certain crime, it was determined that the mean length of sentencing was 66 months, with a standard deviation of 10 months. Construct and interpret a 90% confidence interval for the mean length of sentencing for this crime.
If a researcher did not wish to assume homogeneity of variance for this analysis, which values would they report for the t-statistic, degrees of freedom, and p-value? Would the conclusions change?

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