Suppose that the age of students at George Washington Elementary school is uniformly distributed between 5 and 11 years old. 35 randomly selected children from the school are asked their age. Round all answers to 4 decimal places where possible. What is the distribution of XX? XX ~ U(,) Suppose that 35 children from the school are surveyed. Then the sampling distribution is What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) What is the probability that the average of 35 children will be between 7 and 7.6 years old?

Treat the number of months X after January 1 that someone is born as uniformly distributed from 0 to 12. Round all answers to 4 decimal places where possible. a. What is the distribution of X? XU( b. Suppose that 40 people are surveyed. What is the distribution of for this sample? ~ N( c. What is the probability that the average birth month of the 40 people will be more than 5.4?

Suppose the age that children learn to walk is normally distributed with mean 13 months and standard deviation 1.5 month. 14 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places where possible. What is the distribution of XX? XX ~ N(Correct,Correct)   What is the distribution of ¯xx¯? ¯xx¯ ~ N(Correct,Incorrect)   What is the probability that one randomly selected person learned to walk when the person was between 12 and 14 months old? Correct  For the 14 people, find the probability that the average age that they learned to walk is between 12 and 14 months old. Incorrect For part d), is the assumption that the distribution is normal necessary? NoYes  Find the IQR for the average first time walking age for groups of 14 people.Q1 =  monthsQ3 =  monthsIQR:  month

Suppose the age that children learn to walk is normally distributed with mean 13 months and standard deviation 1.2 month. 16 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places where possible. What is the distribution of XX? XX ~ N(,) What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) What is the probability that one randomly selected person learned to walk when the person was between 12 and 14 months old?  For the 16 people, find the probability that the average age that they learned to walk is between 12 and 14 months old.  For part d), is the assumption that the distribution is normal necessary? NoYes Find the IQR for the average first time walking age for groups of 16 people.Q1 =  monthsQ3 =  monthsIQR:  months

Suppose that Melanie is a researcher who wishes to estimate the mean birthweight of full-term babies in her hospital. What is the minimum number of babies should she sample if she wishes to be at least 90% confident that the mean birthweight of the sample is within 225 grams of the the mean birthweight of all babies? Assume that the distribution of birthweights at her hospital is normal with a standard deviation of 600 g.

The average price of a college math textbook is $162 and the standard deviation is $25. Suppose that 11 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) For the group of 11, find the probability that the average price is between $168 and $173.

The average wait time to get seated at a popular restaurant in the city on a Friday night is 10 minutes.  Is the mean wait time less for men who wear a tie? Wait times for 15 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 7, 10, 11, 9, 11, 7, 8, 11, 9, 9, 11, 9, 11, 9, 7 What can be concluded at the the α = 0.10 level of significance level of significance? For this study, we should use The null and alternative hypotheses would be:       H0:          H1:      The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is α   Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population mean is not significantly less than 10 at α = 0.10, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is equal to 10.…