Describe the distribution of sample means (i.e., shape, measure of central tendency and variability) for a...

Describe the distribution of sample means (i.e., shape, measure of central tendency and variability) for a sample of n=49 selected from a population with mean of 14 and standard deviation of 7.

Solutions

Expert Solution

Here, population mean() = 14 , population standard deviation() = 7 and n = 49.

We know that when sample size is large enough (n>30) , the sample means follow a normal distribution in accordancewith the Central limit theorem. Therefore, the shape of the distribution of the sample means will be bell shaped , like a normal curve.

We know that, the mean of the distribution of sample means is equal to the population mean. Therefore, mean of the distribution = = 14

We know that, the standard deviation of the distribution of sample means is equal to the population standard deviation divided by the square root of n. Therefore, standard deviation = / n = 7 / 7 = 1

The sample means are distributed normlly with mean 14 and standard deviation 1.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

1. The sample range is useful as a measure of: variability association skewness bias central tendency...

1. The sample range is useful as a measure of: variability association skewness bias central tendency 2. 150, 151, 154, 155, 155, 155, 155, 156, 156,156, 157,157, 158,158, 162,162,164 If we draw a boxplot, where should the lower whisker be?: 150 164 151 162 3. 40 independent measurements of the boiling point of a certain liquid were found to have a sample average of 950C, and sample variance of 20C. The formula for converting from a Celsius temperature x to...

Please indicate whether it is a measure of central tendency(center) a measure of variability(spread) or is...

Please indicate whether it is a measure of central tendency(center) a measure of variability(spread) or is neither. Be sure to evaluate the statistic as it is and not its potential role in calculating other statistics 75th percentile coefficient of variation 1st quartile Median absolute deviation 5the percentile minimum mean standard deviation mode range trimmed mean median 50th percentile variance Interquartile range

how are the measures of central tendency and variability used to analyze a data distribution

What does a measure of central tendency indicate? describe the important measures of central tendency pointing...

What does a measure of central tendency indicate? describe the important measures of central tendency pointing out the situation when one measure is considered relatively appropriate in comparison to other measures

Discussion: Central Tendency and Variability Understanding descriptive statistics and their variability is a fundamental aspect of...

Discussion: Central Tendency and Variability Understanding descriptive statistics and their variability is a fundamental aspect of statistical analysis. On their own, descriptive statistics tell us how frequently an observation occurs, what is considered “average”, and how far data in our sample deviate from being “average.” With descriptive statistics, we are able to provide a summary of characteristics from both large and small datasets. In addition to the valuable information they provide on their own, measures of central tendency and variability...

the difference between central tendency & variability? A. There is no difference they mean the same...

the difference between central tendency & variability? A. There is no difference they mean the same thing B. central tendency describes the average score, while variability describes how the scores are spread out C. none of the above D. central tendency describes how the scores are spread out, while variability describes the average score

Q1. Discuss the tools to measure central tendency?

Q1. Discuss the tools to measure central tendency? Q2. I need new and unique answers, please. a) Discuss parametric and nonparametric test used for hypothesis testing. b) In a cross sectional study on coronary heart disease (CHD), the smoking and CHD status is summarized below. Use appropriate statistical test to conclude smoking plays any role in CHD. Smoking Cardiovascular Diseases Total Yes No Yes 10 90 100 No 26 74 `100

Conduct a descriptive data analysis that includes the following: a measure of central tendency a measure...

Conduct a descriptive data analysis that includes the following: a measure of central tendency a measure of dispersion at least one graph Briefly interpret the descriptive data analysis. Conduct the appropriate statistical test that will answer your hypothesis. It must be a statistical test covered in this course such as regression analysis, single t-test, independent t-test, cross-tabulations, Chi-square, or One-Way ANOVA. Explain your justification for using the test based on the type of data and the level of measurement. Report...

Standard deviation is a measure of central tendency that is the difference between the highest and...

Standard deviation is a measure of central tendency that is the difference between the highest and lowest scores. True or False?

Step 1 Find examples of measures of central tendency and variability. Find an example of data...

Step 1 Find examples of measures of central tendency and variability. Find an example of data presented in some print medium–newspaper, magazine, journal, etc.–and focus on the measures of central tendency and measures of variability. Step 2 Write about your example. Prepare your discussion posting by answering the following: Which measures or central tendency and variability were presented in the article? Were they presented correctly? Is there a clearer way the author could have presented the information? In what ways...

Subjects