Nurses wondered if birth weights of babies are going up. They knew that the average birth weight of a baby last year was 7.6 pounds. A random sample of 15 weights of babies at the hospital where the nurses work gave an average birth weight of 7.9 pounds. Nurses felt that the birth weights this year were normally distributed. Which of the following is true about the distribution of sample means? Choose the correct answer below. O A. Even though the sample size is less than 30, the distribution of sample means will be normal because the population data follow a normal distribution. O B. The distribution of sample means will be normal regardless of the shape of the data in the population. OC. Since the sample size is less than 30, the population data cannot be normally distributed. Therefore, the distribution of sample means will not be normally distributed. O D. The distribution of sample means will not be normal even though the population data followed a normal distribution because the sample size is less than 30.

Nurses wondered if birth weights of babies are going up. They knew that the average birth weight of a baby last year was 7.6 pounds. A random sample of 15 weights of babies at the hospital where the nurses work gave an average birth weight of 7.9 pounds. Nurses felt that the birth weights this year were normally distributed. Which of the following is true about the distribution of sample means? Choose the correct answer below. O A. Even though the sample size is less than 30, the distribution of sample means will be normal because the population data follow a normal distribution. O B. The distribution of sample means will be normal regardless of the shape of the data in the population. OC. Since the sample size is less than 30, the population data cannot be normally distributed. Therefore, the distribution of sample means will not be normally distributed. O D. The distribution of sample means will not be normal even though the population data followed a normal distribution because the sample size is less than 30.

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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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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

Nurses wondered if birth weights of babies are going up. They knew that the average birth weight of a baby last year was 7.6 pounds. A random sample of 15
weights of babies at the hospital where the nurses work gave an average birth weight of 7.9 pounds. Nurses felt that the birth weights this year were normally
distributed. Which of the following is true about the distribution of sample means?
Choose the correct answer below.
O A. Even though the sample size is less than 30, the distribution of sample means will be normal because the population data follow a normal distribution.
OB. The distribution of sample means will be normal regardless of the shape of the data in the population.
Oc. Since the sample size is less than 30, the population data cannot be normally distributed. Therefore, the distribution of sample means will not be normally
distributed.
D. The distribution of sample means will not be normal even though the population data followed a normal distribution because the sample size is less than 30.

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