**Determining Sample Size for Estimating Population Mean (μ)**To find the minimum sample size \( n \) required to estimate the population mean \( \mu \) for the given values of confidence level ( \( c \) ), population standard deviation ( \( \sigma \) ), and margin of error ( \( E \) ), use the following information:**Given:**- Confidence level, \( c = 0.98 \)- Population standard deviation, \( \sigma = 9.6 \)- Margin of error, \( E = 2 \)**Instruction:**Assume that a preliminary sample has at least 30 members.**Formula:**\( n = \left( \frac{ z \sigma }{ E } \right)^2 \)To find the \( z \)-score corresponding to the confidence level, and then use it to compute the sample size:1. **Identify \( z \)-score:** For a \( 98\% \) confidence level, the corresponding \( z \)-score can be found using statistical tables or computational tools.2. **Calculate sample size (\( n \)):** Substitute the given values into the formula and round up to the nearest whole number.**Note:** Round up to the nearest whole number to ensure the sample size is adequate for the desired level of confidence.\[n = \left( \frac{ z \sigma }{ E } \right)^2\](Here, the actual calculation steps and the \( z \)-score would typically be provided for instructional purposes.)**Result:**\[ n = \text{(Insert the computed value here)} \]This calculation helps ensure that the sample size is sufficient to estimate the population mean with the specified level of confidence and margin of error.

Name: **Determining Sample Size for Estimating Population Mean (μ)**To find
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: **Determining Sample Size for Estimating Population Mean (μ)**To find the minimum sample size \( n \) required to estimate the population mean \( \mu \) for the given values of confidence level ( \( c \) ), population standard deviation ( \( \sigma

Answered: Image /qna-images/answer/a63ec695-8426-4fc8-bed1-cfa79a2c203a.jpg

Answered: Find the minimum sample size n needed…

Math

Statistics

Find the minimum sample size n needed to estimate u for the given values of c, o, and E. c= 0.98, o = 9.6, and E= 2

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

6.1.31 Question Help O Find the minimum sample size n needed to estimate u for the given values of c, 6, and E. C=0.95, o = 5.1, and E=1 Assume that a preliminary sample has at least 30 members. (Round up to the nearest whole number.) urces 1) Less ccess ia Library se Options ssions rse Tools Enter your answer in the answer box and then click Check Answer. tact Us/ All parts showing Clear All Check Answer 0V 12:0. HUMI FULL HD WB - 1080 acer esc
D
Consider random samples of size 44 drawn from population A with proportion 0.32 and random samples of size 30 drawn from population B with proportion 0.25.
Calculate the smallest sample size required to estimate the population mean under the specifications shown below. a. confidence level 90%, σ=19, and e=6 b. confidence level 95%, σ=23, and e=0.7 c. confidence level 98%, σ=0.5, and e=1 d. confidence level 99%, σ=1.4, and e=0.6 e. confidence level 98%, σ=5, and e=
A sample is selected from a normal population with µ = 54 and σ = 8. Which of the following samples would be considered extreme and unrepresentative for this population? A. M = 53 and n = 81 B. M = 52 and n = 36 C. M = 53 and n = 36 D. M = 52 and n = 81
3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…
A random sample of ny 16 communities in western Kansas gave the following information for people under 25 years of age. X: Rate of hay fever per 1000 population for people under 25 119 129 92 123 112 93 125 95 125 117 97 122 127 88 A random sample of n 14 regions in western Kansas gave the following information for people over 50 years old. x2: Rate of hay fever per 1000 population for people over 50 94 108 100 97 111 88 110 79 115 100 80 114 85 96 A USE SALT (1) Use a calculator to calculate x, 1, 2, and s2. (Rqund your answers to four decimal places.) () Assume that the hay fever rate in each age group has an approximately normal distribution. Do the data indicate that the age group over 50 has a lower rate of hay fever? Use a0.05. (a) what is the level of significance? State the null and altermate bypotheses. Ho: H P H P2
5. Find the t values that form the boundaries of the criti- cal region for a two-tailed test with a = .05 for each of the following sample sizes: %3D а. п 3 4 b. n = 15 с. п %3D 24
6. Given the following sample of n = 10 scores, for each individual score calculate the following: a) z-score b) a new standardized score with M = 50 and s = 20 X 19 10 2 16 13 4 11 6 18 15 X 19 10 2 6341618 15 z-score Standardized Score