Rounding policy:Proportion: 4 decimal placesPercentile: round to the closest whole unit numberAll others: 2 decimal places ### Problem 7A population has \( \mu = 60 \) and \( \sigma = 10 \). Find the z-score corresponding to each of the following sample means:a. A sample of \( n = 4 \) with \( M = 55 \) b. A sample of \( n = 25 \) with \( M = 55 \) c. A sample of \( n = 100 \) with \( M = 55 \) d. What do we notice about the z-scores as the sample size changes?### Problem 8If you are taking a random sample from a normal population with \( \mu = 100 \) and \( \sigma = 16 \), which of the following outcomes is more likely? Explain your answer.a. A sample mean greater than 106 for a sample of \( n = 4 \).b. A sample mean greater than 103 for a sample of \( n = 36 \). **Study on the Effectiveness of Relaxation Training in Reducing Anxiety**A researcher evaluated the effectiveness of relaxation training in reducing anxiety. One sample of anxiety-ridden people received relaxation training, while a second sample did not. Then anxiety scores were measured for all subjects using a standardized test. Use the information summarized in the following table to complete this item.**Table: The Effect of Relaxation Training on Anxiety Scores**| Group | Mean Anxiety Score | SE (Standard Error) ||---------------------|--------------------|---------------------|| Control group | 36 | 7 || Relaxation training | 18 | 5 |**Questions:** a. **What is the independent variable (IV)?** - The independent variable is the type of group (Control group vs. Relaxation training).b. **How many levels do we have for the IV?** - There are two levels for the independent variable: Control group and Relaxation training.c. **What is the level of measurement for the IV?** - The level of measurement for the IV is nominal (categorical).d. **What is the DV (dependent variable, remember, the DV is the data)?** - The dependent variable is the Mean Anxiety Score.e. **What is the level of measurement of the DV?** - The level of measurement for the DV is interval.f. **What is the best graph to display this data? Explain.** - A bar graph would be the best way to display this data as it allows comparison of mean anxiety scores between two categorical groups with their respective standard errors.g. **Construct a graph (by hand) that incorporates all the information in this table.** - [Instructions for creating a bar graph: Draw two bars, one for each group. Label the y-axis with mean anxiety scores ranging from 0 to 40. Place the control group at a mean score of 36 with an error bar extending from 29 to 43. Place the relaxation training group at a mean score of 18 with an error bar extending from 13 to 23.]h. **Looking at your graph, do you think that the relaxation training really worked? Explain your answer.** - Based on the graph, relaxation training appears to be effective in reducing anxiety as the mean anxiety score for the relaxation training group is substantially lower than for the

7. A population has u = 60 and o = 10. Find the z-score corresponding to each of the following sample means: a. A sample of n = 4 with M = 55 b. A sample of n = 25 with M = 55 C. A sample of n = 100 with M = 55 d. What do we notice about the z-scores as the sample size changes %3D

7. A population has u = 60 and o = 10. Find the z-score corresponding to each of the following sample means: a. A sample of n = 4 with M = 55 b. A sample of n = 25 with M = 55 C. A sample of n = 100 with M = 55 d. What do we notice about the z-scores as the sample size changes %3D

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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