The mean height of 15-year-old boys (in cm) is 175 and the variance is 64. For girls, the mean is 165 and the variance is 64. Assuming that the two populations are normally distributed. If eight boys and eight girls were sampled, then the probability that the mean height of the sample of boys will exceed the mean height of the sample of girls by 2 or more is: 0.0062 0.9938 0.9878 0.9972

The mean height of 15-year-old boys (in cm) is 175 and the variance is 64. For girls, the mean is 165 and the variance is 64. Assuming that the two populations are normally distributed. If eight boys and eight girls were sampled, then the probability that the mean height of the sample of boys will exceed the mean height of the sample of girls by 2 or more is: 0.0062 0.9938 0.9878 0.9972

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A geologist is making guesses about the mean length of fossil teeth of a certain species found in a location. According to her judgment, the probability is 0.25 that their mean will be higher than 17.8 cm, and the probability is 0.15 that they will be higher than 19.2 cm. If the geologist’s uncertainty about the length of the teeth can be represented by a normal distribution, what are the mean and variance of that distribution?
What is the SD of a distribution if the mean is 4.5 and a z score of 3.5 corresponds to a raw score of 15?
Suppose a batch of steel rods produced at a steel plant have a mean length of 187 milimeters, and a Variance of 64. If 416 rods are sampled at random from the batch, what is the probability that the mean length all the sample rods would differ from the population mean by less than 0.65 millimeters? Round your answer to four decimal places.
A given age group's average height is 53 inches, with a standard variation of 4 inches. Determine the likelihood that a given individual's height will be less than 57 inches if the variable is normally distributed.
Imagine a scenario where 100 people complete a self-esteem measure. Assume the standard deviation of their true scores is 24.05 and the variance of the random errors associated with responses is 418.89. What is the reliablity of these scores?
The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.05 level that the medicine relieves pain in more than 318 seconds. For a sample of 45 patients, the mean time in which the medicine relieved pain was 323 seconds. Assume the population variance is known to be 324. State the null and alternative hypotheses.
The likelihood that a bulb is defective is 7%, on a particular line. Eight light bulbs are randomly selected. What are the mean and variance of the number of defective bulbs?
The time that college students spend studying per week have a distribution that skewed to the right with a mean of 8.4 hours and a standard deviation of 2.7 hours. Find the probability that the mean time spent studying per week for a random sample of 40 is less than 7.5 hours.
Experience has shown that a grade in MAT 2371 is normally distributed with mean 66 and variance 64. Assume that the grades are independent of each other. What proportion of the class will get a grade of at least 80? 0,5656 0.0401 0.5871 0.9599 0.4129
The best way to reduce the variances in the distributions of means when conducting a t test for independent means is to increase the size of the samples. raise the study's level of significance. use the true population variance. treat the two samples as one sample.
The likelihood that a bulb is defective is 9%, on a particular line. Ten light bulbs are randomly selected. What are the mean and variance of the number of defective bulbs?
Given that age of ECU students is normally distributed. A random sample of 16 students had an average age of 25 years and a variance of 4 square years. The 98% CI for the true average age of all ECU students is?