According to a recent census, 52.2% of Boston residents are female. Suppose a group of 100...
According to a recent census, 53% of Boston residents are female. Suppose a group of 100 Bostonians is selected at random. What is the probability that the number of female members of the group is between 45 and 55? [up to two digits]
According to a Health of Boston report, female residents in Boston have a higher average life expectancy as compared to male residents (The Boston Globe, August 16, 2010). You collect the following sample data to verify the results of the report. You also use the historical (population) standard deviation of 8.2 years for females and 8.6 years for males. (You may find it useful to reference the appropriate table: z table or t table) Female Male −x1 = 81.1 −x2...
According to the 2010 US Census, the average number of residents per housing unit for the n=87 counties in Minnesota was 2.10, and the standard deviation was 0.38. Test whether the true mean number of residents per housing unit in Minnesota in 2010 is less than the national value of 2.34 at the level α = 0.05. a. Show all five steps of this test. b. What type of error could we be making in this context? c. What is...
According to a Health of Boston report, female residents in Boston have a higher average life expectancy as compared to male residents (The Boston Globe, August 16, 2010). You collect the following sample data to test the following hypotheses at 0.05 level of significance: Hous H2 versus H H > H2 where females represent group 1 and males represent group 2. Females Males Mean Sample Size 32 82.3 32 Assume the population standard deviations of life expectancy are 8.2 and...
According to the 2010 US Census, the average number of residents per housing unit for the n=87 counties in Minnesota was 2.10, and the standard deviation was 0.38. Test whether the true mean number of residents per housing unit in Minnesota in 2010 is less than the national value of 2.34 at the level α = 0.05. a. Show all five steps of this test. b. What type of error could we be making in this context? c. What is...
5. According to the 2010 US Census, the average number of residents per housing unit for the n=87 counties in Minnesota was 2.10, and the standard deviation was 0.38. Test whether the true mean number of residents per housing unit in Minnesota in 2010 is less than the national value of 2.34 at the level α = 0.05. a. Show all five steps of this test. b. What type of error could we be making in this context? c. What...
According to the U.S. Census Bureau, 20% of the workers in Atlanta use public transportation. Suppose 25 Atlanta workers are randomly selected. (Hint: use sampling distribution) (a) What is the standard deviation of the sample proportion of the selected workers who use public transportation? (b) What is the probability that the proportion of the selected workers who use public transportation is less than 32%? (c) What is the probability that the proportion of the selected workers who use public transportation...
According to the records of an electric company serving the Boston area, the mean electricity consumption for all households during winter is 1650 kilowatt-hours per month. Assume that the monthly electricity consumptions during winter by all households in this area have a normal distribution with a mean of 1650 kilowatt-hours and a standard deviation of 320 kilowatt-hours. Find the probability that the monthly electricity consumption during winter by a randomly selected household from this area is less than 1861 kilowatt-hours.
According to the records of an electric company serving the Boston area, the mean electricity consumption for all households during winter is 1650 kilowatt-hours per month. Assume that the monthly electricity consumptions during winter by all households in this area have a normal distribution with a mean of 1650 kilowatt-hours and a standard deviation of 320 kilowatt-hours. Find the probability that the monthly electricity consumption during winter by a randomly selected household from this area is less than 1907 kilowatt-hours....
Question 11-In a large statistics class. PM 100% of all students are male and the rest are female. The heights of all male students follow a normal distribution with mean Ax and standard deviation σΜ. The heights of all female students follow a normal distribution with mean Mr and standard deviation σ Suppose a random sample of n students is selected independently. Let H be the mean height of these n randomly selected students. a. Determine E[H) and Va[FI /...