In a test to compare yield strengths of two grades of carbon steel bolts, strengths of eightgrade 2 bolts and six grade 5 bolts were measured. The results, in MPa, wereGrade 408401406 396407394 3993942:Grade 6376596556446636355:Find a 98% confidence interval for the difference between the mean yield strengths forgrade 5 and grade 2 bolts.

Given Information and calculation for mean and variance is shown below

Answered: In a test to compare yield strengths of…

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 population of healthy female adults, the mean red blood cell count (RBC) is 4.8 (millions of cells per cubic millimeter of whole blood). A researcher thinks the RBC is underestimated, so she conducts a test of significance using Null Hypothesis: µ ≤ 4.8 vs. Alternative Hypothesis: µ >4.8. If the true mean RBC is 4.75 and the null hypothesis is rejected, out of the four options below, what has occured? Type 1 Error, Type 2 Error, No error, OR can’t tell without knowing the degrees of freedom?
A researcher is interested in the impact of joining a weight loss program in the past 12 months on the individuals weight loss. The analysis was restricted to people age 16 and older who answered yes to the question "During the past 12 months, have you tried to lose weight?" About 5% of the sample had joined a weight loss program in the past year. 1. The researcher has decided to use propensity score analysis. What would be the appropriate estimator for this analysis: Average treatment effect, average treatment effect on the treated or average treatment effect on the untreated? Provide a justification for your choice.
Given two independent random samples with the following results: n1=12x‾1=73s1=27n1=12x‾1=73s1=27 n2=12x‾2=102s2=22n2=12x‾2=102s2=22 Use this data to find the 95%95% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed. Step 1 of 3 : Find the point estimate that should be used in constructing the confidence interval.
In a random sample of males, it was found that 29 write with their left hands and 212 do not. In a random sample of females, it was found that 70 write with their left hands and 444 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below.
Judy is a psychology student who participates in three competitions: Swimming, cycling, and running in one event. In the last competition, Judy completed the swimming race in 13 minutes and 20 seconds (800 seconds), cycling in 33 minutes and 52 seconds (2032 seconds), and the running race in 17 minutes and 3 seconds (1023 seconds. Completion times for participants in Swimming are normally distributed with a mean of / = 725 seconds and a standard deviation o - 50 seconds. Completion times for participants in Cycling* are normally distributed with a mean of = 2182 seconds and a standard deviation o= 75 seconds. And completion times for participants in Running are normally distributed with a mean of u = 1083 seconds and a standard deviation o = 60 seconds. In which competition race (swimming, cycling, or running) was Judy's performance better, relative to others on average who took part in that competition? Justify your answer, quoting. relevant statistics as part of your explanation
Find the critical value for 89% confidence interval, n = 30 and HA: µ >
Suppose that having a widow's peak was a dominant trait (W) compared to not having a widow's peak (w). In a sample size of 30 students, 15 were observed to have a widow's peak and 15 did not have a widow's peak. The expected frequency of a widow's peak is 75% chance of getting it and a 25% chance of not getting it. Perform a chi square analysis to see if the data above agrees with the predicted outcome.
Are juvenile defendants who are released pending adjudication processed more slowly than those who are detained? The JDCC data set records whether a juvenile was released and the number of months it took for that juvenile’s case to reach a disposition. The sample will be narrowed to black female youth. Released juveniles (Sample 1) had a mean of 4.30 months to disposition (s = 3.86, N = 123) and detained juveniles (Sample 2) had a mean of 3.57 (s = 4.20, N = 64). Using an alpha level of .01, test the hypothesis that released juveniles’ mean time-to-adjudication is significantly greater than detained juveniles’ mean. Assume equal population variances. Use all five steps.
b )part?
what is the test stastic: p value:
Find the a/2 ( the area in one tail outside of the confidence interval) and the critical value z a/2 necessary to construct an 80% confidence interval.

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