Question

In: Statistics and Probability

1) A company takes a sample of people in two sections of the city, the North...

1) A company takes a sample of people in two sections of the city, the North Bronx and South Bronx, they believe that the two parts of the city have the same levels of rent. The company first takes a sample of 30 from the North Bronx and 20 from South Bronx (SOBRO). They found that the students from the North Bronx pays an average of 1600 dollars a month for their apartment with a standard deviation of 200. The sample from South Bronx pay an average of 2000 dollars a month for a one bedroom with the standard deviation of 150 dollars. Assume the populations are normally distributed and the population variances are equal. Use an alpha of .05 for the study.

  1. What is the null and alternative hypotheses? (2)
  2. What is the standard deviation for the problem? (3)
  3. What is the distribution we use for this problem (1)
  4. What’s the degree of freedom for this problem (2)
  5. Do we reject of accept the null hypotheses? Please interpret it in the context of the problem (2)

Solutions

Expert Solution


Related Solutions

A sample of 1000 people that live in a large city was asked if they believed...
A sample of 1000 people that live in a large city was asked if they believed that the city’s sales tax proposal was warranted. If at least two-thirds of the city’s citizens believe that the sales tax is warranted, then the mayor will take immediate steps to formally propose the tax. The survey responses showed that 692 of the 1000 people surveyed believe that the tax proposal is warranted. Write the appropriate null and alternative hypotheses for the one-tailed test...
A sample of 1000 people that live in a large city was asked if they believed...
A sample of 1000 people that live in a large city was asked if they believed that the city’s sales tax proposal was warranted. If at least two-thirds of the city’s citizens believe that the sales tax is warranted, then the mayor will take immediate steps to formally propose the tax. The survey responses showed that 692 of the 1000 people surveyed believe that the tax proposal is warranted. Find the critical value for α=0.1. What is the result of...
An investigator takes a random sample of n people from a certain population to obtain the...
An investigator takes a random sample of n people from a certain population to obtain the proportion p (hitherto unknown to the researcher) of smokers. Calculate the sample size you should take to ensure that the proportion of smokers does not differ from the true p-value by more than 0.01 with a probability of at least 0.95 using: a) Chebyshev´s inequality b) Central limit theorem Compare both values of n obtained, what can you conclude about it?
An investigator takes a random sample of n people from a certain population to obtain the...
An investigator takes a random sample of n people from a certain population to obtain the proportion p (hitherto unknown to the researcher) of smokers. Calculate the sample size you should take to ensure that the proportion of smokers does not differ from the true p-value by more than 0.01 with a probability of at least 0.95 using: b) Central limit theorem
Two people are on a city block. Person A is on the northeast corner and Person...
Two people are on a city block. Person A is on the northeast corner and Person B is on the southwest corner. Person A starts walking towards the southeast corner at a rate of 3 ft/sec. Four seconds later Person B starts walking towards the southeast corner at a rate of 2 ft/sec. At what rate is the distance between them changing (a) 10 seconds after Person A starts walking and (b) after Person A has covered half the distance?
The unemployment rate in a certain city is 8.5%. A random sample of 100 people from...
The unemployment rate in a certain city is 8.5%. A random sample of 100 people from the labor force is drawn. Find the probability that the sample contains at least ten unemployed people.
The unemployment rate in a certain city is 8.5%. A random sample of 100 people from...
The unemployment rate in a certain city is 8.5%. A random sample of 100 people from the labor force is drawn. Find the probability that the sample contains at least ten unemployed people.
A random sample of n1 = 261 people who live in a city were selected and...
A random sample of n1 = 261 people who live in a city were selected and 77 identified as a "dog person." A random sample of n2 = 101 people who live in a rural area were selected and 52 identified as a "dog person." Find the 95% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area...
Why did the North takes so long to win?
Why did the North takes so long to win?
INSTRUCTIONS: THERE ARE TWO SECTIONS IN THIS PAPER; SECTIONS A AND B ANSWER ALL QUESTIONS IN...
INSTRUCTIONS: THERE ARE TWO SECTIONS IN THIS PAPER; SECTIONS A AND B ANSWER ALL QUESTIONS IN SECTION A AND ONLY ONE IN SECTION B SECTION A QUESTION ONE. In a given economy, the following hold true. 1.There are only two sectors-household and business sectors operating in the economy. 2. The percentage of every extra income which goes into consumption is 80%. Given that an initial amount of 1000 currency units is introduced as investment in the economy. Draw up a...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT