Question

In: Statistics and Probability

A publishing company has just published a new college textbook, Before the company decides the price at which to sell the textbook, it wants to know the average price of all such textbooks in the market.

A publishing company has just published a new college textbook, Before the company decides the price at which to sell the textbook, it wants to know the average price of all such textbooks in the market. The research department at the company took a random sample of 36 comparable textbooks and collected information on their prices. This information produced a mean price of $145 and standard deviation 35 for this sample. An advertisement for a book store said the average price of all such college textbooks is $130.

---We want to know if the mean price of all such textbooks is $130 as advertised. Do an appropriate hypothesis test.

a. Null and alternative hypothesis statement.

b. Calculate the test statistic:

c. Use significance level 0.1 to find the critical value.

d. Give a conclusion that a non-statistician can understand.

e. Construct a 90% confidence interval for the mean price of all such college textbooks.

f. What does the 90% confidence interval tell about the mean price of all such college textbooks.

Solutions

Expert Solution

a-d)

e)

f) The confidence interval do not include 130

Hence we can reject the null hypothesis that the mean price of all such textbooks is $130 as advertised


Related Solutions

Nathan Publishing Company specializes in printing specialty textbooks for a small but profitable college market. Due...
Nathan Publishing Company specializes in printing specialty textbooks for a small but profitable college market. Due to the high setup costs for each batch printed, Jo Nathan holds the book requests until demand for a book is approximately 500. At that point Jo Nathan will schedule the setup and production of the book. For rush orders, Jo Nathan will produce smaller batches for an additional charge of $700 per setup. Static-budget number of setups, 400. Budgeted and actual costs for...
4. A market research company wants to assess the potential for purchasing a new product "before"...
4. A market research company wants to assess the potential for purchasing a new product "before" and "after" an individual sees a television advertisement about that product. The ranking of potential purchases is based on a scale of 0 to 10, with a higher value indicating a higher purchase potential. The null hypothesis states that the average rating of "After" will be less than or equal to the average value of "before." A rejection of this hypothesis will show that...
1. Jenny wants to know which college among the 3 she has attended that is best....
1. Jenny wants to know which college among the 3 she has attended that is best. In fact, she visited each school this past week. To answer her question, she asked five people at each school to rate how awesome their school is on a scale from 1 to 20, with 20 being the most awesome score possible. The results are below. DATA: University of Minnesota: 10 12 14 13 11 Cal State University, Fullerton: 18 20 19 18 17...
A marketing company wants to know the mean price of new vehicles sold in an up-and‑coming...
A marketing company wants to know the mean price of new vehicles sold in an up-and‑coming area of town. Marketing strategists takes a simple random sample of 756 cars, and find that the sample has a mean of $27,400 and a standard deviation of $1300. 1. Assume that the population standard deviation is unknown. What is the error of estimate for a 95% confidence interval? 2. Assume that the population standard deviation is known to be $1500. What is the...
NPV Holiday Co. wants to sell a new product. The company has been considering this idea...
NPV Holiday Co. wants to sell a new product. The company has been considering this idea for a while now and spent $300,000 in R&D. They have also ordered a marketing analysis from a consulting firm, for which they have paid 50% of the $80,000 contract. The balance will be paid next week. The new product will require an investment in a new equipment of $750K and an increase in net working capital of $75K. The project will last 7...
Condor Airplane Company has built a new model jet aircraft which it intends to sell to...
Condor Airplane Company has built a new model jet aircraft which it intends to sell to high net worth clients. This aircraft required 25,000 hours to complete. Condor believes an incremental unit-time learning model with an 82% learning curve best reflects the company's production efficiency. Condor just received a contract to make fifteen identical aircraft. What will be the expected unit time for the sixteenth aircraft?
An efficient market has which of the following characteristics? New information causes a quick price change...
An efficient market has which of the following characteristics? New information causes a quick price change followed by smaller price changes as the market adjusts. New information causes a large price change followed by price changes in the opposite direction as the market settles down after the news. New information causes a quick price change followed by random price changes. New information is reflected in an unbiased manner in stock prices after several days. What does large stock price increases...
Crescent Textile Company has purchased a new generator whose market price is $15,000 but after a...
Crescent Textile Company has purchased a new generator whose market price is $15,000 but after a (10) lot of negotiations the sellers agreed to offer it at $11,000 cash and a trade-in of company’s old generator whose book value is $2,000. An additional $1,500 were spent on transportation and installation of the generator at site. The expected useful life of the generator is 8 years, after which the salvage value is estimated to be $800. Develop a table for the...
The new Exam Company, which will specialize in hosting online examinations, has just hired you to be the network administrator responsible for all network platforms and services.
The new Exam Company, which  will specialize in hosting online examinations, has just hired you to be the network administrator responsible for all network platforms and services. The data network will be located in a single data center. The Chief Security Officer (CSO) has asked you to provide a basic network security plan that would provide critical internal network security controls, including a secure means for delivering examinations via the Internet.  
Bucky wants to monopolize the local lemonade market. He is pretty sure he can sell at least 500 cups. Bucky needs to know what is the lowest price he can charge and breakeven on the 500 units.
Bucky wants to monopolize the local lemonade market. He is pretty sure he can sell at least 500 cups. Bucky needs to know what is the lowest price he can charge and breakeven on the 500 units. Knowing this price will help Bucky know if he can survive while driving his competitors out of the market. What is the price Bucky can charge to breakeven on 500 units?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT