### Confidence Interval Construction**Objective:** Construct the indicated confidence interval for the population mean \( \mu \) using the t-distribution. Assume the population is normally distributed.**Given Data:**- Confidence level (\( c \)) = 0.95- Sample mean (\( \bar{x} \)) = 14.3- Sample standard deviation (\( s \)) = 0.73- Sample size (\( n \)) = 18**Instructions:**- Round the final answer to one decimal place as needed.**Input Area:**Enter your answer in the edit fields and click "Check Answer" to verify.(Note: There are no graphs or diagrams included in the image.)

Name: ### Confidence Interval Construction**Objective:** Construct the indi
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: ### Confidence Interval Construction**Objective:** Construct the indicated confidence interval for the population mean \( \mu \) using the t-distribution. Assume the population is normally distributed.**Given Data:**- Confidence level (\( c \)) = 0.

The confidence level is 0.95, sample mean is 14.3, sample standard deviation is 0.73, and sample size is 18. The degrees of freedom is, df=n-1=18-1=17 The degrees of freedom is 17. Computation of critical value: The critical value of t-distribution for 0.05 level of significance at 17 degrees of freedom can be obtained using the excel formula “=T.INV.2T(0.05,17)”. The critical value is 2.1098.The 95% confidence interval for the population mean is, CI=x¯±tα2sn=14.3±2.10980.7318=14.3±0.4=14.3-0.4,14.3+0.4=13.9,14.7 Thus, the 95% confidence interval for the population mean is (13.9,14.7).

Math

Statistics

Construct the indicated confidence interval for the population mean u using the t-distribution. Assume the population is normally distributed. c= 0.95, x-14.3, s=0.73, n= 18 (Round to one decimal place as needed.)

Construct the indicated confidence interval for the population mean u using the t-distribution. Assume the population is normally distributed. c= 0.95, x-14.3, s=0.73, n= 18 (Round to one decimal place as needed.)

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

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability that an individual has an IQ higher than 94. Find the probability that an individual has an IQ between 85 and 112. Find the IQ score that separates the highest scoring 28.1% from the rest of the population.
Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…
Compute a confidence interval (95% interval, 2-tailed) for a mean. Data: sample mean = 38.5; sample standard deviation=8; N= 22. CL=
The distribution of heights in a population of women is approximately normal. Sixteen percent of the women have heights less than 62 inches. About 97.5% of the women have heights less than 71 inches. Use the empirical rule to estimate the mean and standard deviation of the heights in this population. Mean: K inches Standard Deviation: inches
This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
A distribution of values is normal with a mean of 197.6 and a standard deviation of 24.6.Find P40, which is the score separating the bottom 40% from the top 60 P40 =
Assume that adults have IQ scores that are normally distributed with a mean of 104.5 and a standard deviation 24.7. Find the first quartile Q,. which is the IQ score separating the bottom 25% from the top 75%. (Hint Draw a graph.) The first quartile is (Type an integer or decimal rounded to one decimal place as needed.)
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1522 and the standard deviation was 311. The test scores of four students selected at random are 1950, 1260, 2190, and 1410. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1950 is. (Round to two decimal places as needed.)
Calcium levels in people are normally distributed with a mean of 9.7 mgdL and a standard deviation of 0.5 mgdL . Individuals with calcium levels in the bottom 10% of the population are considered to have low calcium levels. Find the calcium level that is the borderline between low calcium levels and those not considered low. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1539 and the standard deviation was 315. The test scores of four students selected at random are 1940, 1290, 2240, and 1420. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1940 is. (Round to two decimal places as needed.) The Z-score for 1290 is. (Round to two decimal places as needed.) The Z-score for 2240 is. (Round to two decimal places as needed.) The Z-score for 1420 is. (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The unusual value(s) is/are. CD (Use a comma to separate answers as needed.) OB. None of the values are unusual.
The 95% confidence interval of the variance of a population is computed as (12.367,21.761). Interpret this confidence interval.
Lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 13 days. A baby is considered premature if the pregnancy length is at or below the third percentile (P3) of all pregnancy lengths. Find the length of pregnancy in days that separates the premature babies from those that are not considered premature. Round to the nearest integer.