A research team conducted a study of VARIABILITY in students' test performance. Researchers assumethat individual records are normally distributed with unknown mean and variance. They collected asample of n = 16 test scores with summaries shown below.Sample Mean = X = 70.8 and Sample SD = S = 12Estimate the POPULATION VARIANCE with confidence C = 0.95• Show critical values needed• Evaluate the upper and lower confidence limits. Round your answers to the second decimal place.UCL =LCL =TON0.01. rcherABOVSolutionwRele3

Givensample mean(x)=70.8standard deviation(s)=12sample size(n)=16c=0.95

Answered: A rescarch team conducted a study 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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Big babies: The National Health Statistics Reports described a study in which a sample of 335 one-year-old baby boys were weighed. Their mean weight was 25.2 pounds with standard deviation 5,3 pounds. A pediatrician claims that the mean weight of one-year-old boys differs from 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the a= 0.01 level of significance and the P-value method with the TI-84 Plus calculator. Answer the following three.
A one-way Analysis of Variance (ANOVA) was used to examine whether students’ scores on a standardized test is a function of the teaching method they received (either lecture only, hands-on learning only, or both together). The ANOVA was significant. Run post hoc tests (by hand!) to determine which pairs of the mean are significantly different. Do the math for each and then explain in what way are they different. Method N Mean SD Source df SS MS F Lecture Only 15 82.8 9.59 Between 2 736.53 368.27 5.34 Hands-On Only 15 88.53 8.73 Within 42 2895.47 68.94 Both 15 92.67 6.22 Total 44 3632 Total 45 88
The waterworks commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like to estimate to have a maximum error of 0.13 gallons. A previous study found that for an average family the variance is 2.56 gallons and the mean is 16.3 gallons per day. If they are using 80% level of confidence, how large of a same is required to estimate the mean usage of water? round answer up to the next integer.
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.5 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 24 engines and the mean pressure was 5.7 pounds/square inch with a variance of 0.49. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis. Dain
A phone service provider hypothesizes that Android users have a lower credit score rating than iPhone users and, if true, would like to build a marketing campaign around that idea. In order to test their hypothesis, they collect the data in the table below. Assume that credit scores are approximately normally distributed and that the variance in scores is the same between the two groups. What is the p- value of the test? Round your answer to three decimal places. Android Users Credit Scores 415 565 544 617 675 381 552 673 623 691 iPhone Users Credit Scores 631 659 549 681 632 596 695 673 685 653 535 593 710
This research was conducted with Korean adolescents in the Los Angeles area. Would you be willing to generalize the results of this study to Korean adolescents who live in other regions of the country? Why or why not.
A new study has found that, on average, 6- to 12-year-old children are spending less time on household chores today compared to 1981 levels. Suppose two samples representative of the study's results report the following summary statistics for the two periods. 1981 Levels 2008 Levels 24 minutes 19 minutes 51 = 3.5 minutes 52 - 4.3 minutes ni = 30 n2 - 30 Which of the following is the correct value of the test statistic assuming that the unknown population variances are equal? Multiple Cholce Z = -4.94 tss = 4.94 Z = 4.94 t59 = -4.94
An educator has developed a program to improve math scores on the Texas STAAR test. The average STAAR Mathematics test for the third graders in the district was a mean= 1472. A sample of n= 30 third graders took the new math training prgram before taking the STAAR Math test. The average score for the students was M= 1497. with a standard deviation of s= 145 (note, this is standard deviation, not variance). Was there a significant change in test scores ( use stard devistion of 0.05, two tail test). Calculate the effect size using Cohen's d.
In Exercises 21–24, assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an LG Smartphone survey). If 20 adult smartphone users are randomly selected, find the probability that exactly 15 of them use their smartphones in meetings or classes.
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.5 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 24 engines and the mean pressure was 5.7 pounds/square inch with a variance of 0.49. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.
please provide accurate answer
You are testing the claim that having lights on at night increases weight gain (abstract). A sample of 10 mice lived in an environment with bright light on all of the time and 8 mice who lived in an environment with a normal light/dark cycle is given below. Test the claim using a 2% level of significance. Assume the population variances are unequal and that the weight changes are normally distributed. Give answers to 3 decimal places. Data available at StatKey, choose Mice Wgt Gain-2e data set Light (1) 1.71 4.67 4.99 5.33 5.43 6.94 7.15 9.17 10.26 11.67 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem. Ho: ₁ Test Statistic = Dark (₂) 2.27 2.53 2.83 4 4.21 4.6 5.95 6.52 Ha: ₁ Based on the hypotheses, find the following: p-value = = V Select an answer ✓ Select an answer (Hint: difference in means from H₂) The correct decision is to fail to reject the null hypothesis The correct summary…

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