Question

In: Statistics and Probability

Question 1:- A potential investor collected attendance data over a period of 49 days at the...

Question 1:- A potential investor collected attendance data over a period of 49 days at the North Mall and South Mall theaters in order to determine the difference between the average daily attendances. The North Mall Theater averaged 720 patrons per day with a variance of 100, while the South Mall Theater averaged 700 patrons per day with a variance of 96. Develop an interval estimate for the difference between the average daily attendances at the two theaters. Use a confidence coefficient of 0.95.

Question 2:-Zip, Inc. manufactures Zip drives on two different manufacturing processes. Because the management of this company is interested in determining if process 1 takes less manufacturing time, they selected independent random samples from each process. The results of the samples are shown below. (20 points)

                                          Process 1          Process 2

Sample size                               27               22

Sample mean (in minutes) 10              14

Sample variance                 16             25

  1. State the null and alternative hypotheses.
  1. Determine the degrees of freedom for the t-test.
  1. Compute the test statistic
  1. At 95% confidence, test to determine if there is sufficient evidence to indicate that process 1 takes a significantly shorter time to manufacture the Zip drives.

Question 3:-  

Shown below is a portion of computer output for a regression analysis relating to Y (dependent variable) and X (independent variable). (20 points)

ANOVA     

                  df SS

Regression   1 115.064

Residual 13   82.936

Total    

     

            Coefficients Standard Error

Intercept 15.532                 1.457

x              -1.106               0.261

a. Perform a t-test using the p-value approach and determine whether x and y are related. Let α = .05.

b. Using the p-value approach, perform an F test, and determine whether x and y are related.

c. Compute the coefficient of determination and fully interpret its meaning. Be specific.

Solutions

Expert Solution

by mistakely i'm return here t(0.05/2,47)==t(0.05,47)


Related Solutions

Question 1:- A potential investor collected attendance data over a period of 49 days at the...
Question 1:- A potential investor collected attendance data over a period of 49 days at the North Mall and South Mall theaters in order to determine the difference between the average daily attendances. The North Mall Theater averaged 720 patrons per day with a variance of 100, while the South Mall Theater averaged 700 patrons per day with a variance of 96. Develop an interval estimate for the difference between the average daily attendances at the two theaters. Use a...
Chi-Square test Question 1 (10 marks)   Data have been collected over a period of several months...
Chi-Square test Question 1   Data have been collected over a period of several months on the means of transportation used by most persons commuting to work into the city office of a large business firm. The results have been listed below: Means of Transportation Bus Train Car Other Number of all commuters 25 15 50 10 Conduct a hypothesis test to determine if there is a significant difference among method of getting to work for this sample. Use a =...
Data collected over a long period of time showed that 1 in 1000 high school students...
Data collected over a long period of time showed that 1 in 1000 high school students like mathematics. A random sample of 30,000 high school students was surveyed. Let X be the number of students in the sample who like mathematics a) What is the probability distribution of X? b) What distribution can be used to approximate the distribution of X? Explain. c) Find the approximate probability of observing a value of X equal to 40 or more? d) Find...
Data collected over a long period of time showed that 1 in 1000 high school students...
Data collected over a long period of time showed that 1 in 1000 high school students like mathematics. A random sample of 30,000 high school students was surveyed. Let X be the number of students in the sample who like mathematics a) What is the probability distribution of X? b) What distribution can be used to approximate the distribution of X? Explain. c) Find the approximate probability of observing a value of X equal to 40 or more? d) Find...
1. Over the past 200 stock-trading days data is collected concerning whether the stock index, called...
1. Over the past 200 stock-trading days data is collected concerning whether the stock index, called the S&P 500, increased or decreased as well as whether the individual stock Apple increased or decreased. Apple stock increased in price on 130 of the days. The S&P 500 increased on 150 of the days. Finally, Apple increased and the S&P 500 increased on 100 of the days. (assume the index either increases or decreases and assume the stock either increases or decreases,...
1.Assume you collected a quarterly sales data (in millions of dollars) over a four-year period from...
1.Assume you collected a quarterly sales data (in millions of dollars) over a four-year period from the first quarter 2016 to the fourth quarter 2019, and computed the seasonal index for each quarter. If the values of the actual sales and deseasonalised sales were 162 and 158.68, respectively, in the second quarter of 2016, what is the (normalised) seasonal index for the second quarter? Round your answer to two decimal places. 2. Assume you collected data representing the number of...
The number of faults over a period of time was collected for a sample of 100...
The number of faults over a period of time was collected for a sample of 100 data transmission lines. We want to test if the data come from a Poisson distribution. number of faults 0 1 2 3 4 5 >5 number of lines 38 30 16 9 5 2 0 (a) Assuming the number of faults for a data-transmission line, Yi , i = 1, . . . , 100, follows a Poisson distribution with parameter λ, find the...
1. Over a period of 100 randomly chosen trading days in 1993, a basket of small...
1. Over a period of 100 randomly chosen trading days in 1993, a basket of small growth stocks returned an average of 13.37% while a basket of diversified stocks returned an average of 19.63%. The standard deviations were 20.39% and 12.85% respectively. On average, did these two investment vehicles produce significantly different returns? Test at the 0.05 level of significance
The daily returns for a stock over a period of 110 days are recorded, and the...
The daily returns for a stock over a period of 110 days are recorded, and the summary descriptive statistics are given as follows: Descriptive Statistics: return Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 Maximum Return 110 0 0.000983 .00296 .03103 -.19992 -.01393 .00322 .01591 .09771 a) Find a 95% confidence interval estimate for μ, where μ is the population mean rate of return of the stock. b) Test the hypothesis Ho:μ= 0 versus Ha:μ > 0...
The prices of Rawlston, Inc. stock (y) over a period of 12 days, the number of...
The prices of Rawlston, Inc. stock (y) over a period of 12 days, the number of shares (in 100s) of company's stocks sold (x1), the volume of exchange (in millions) on the New York Stock Exchange (x2), and the daily profit of the company (in thousands) (x3) are shown below. day y x1 x2 x3 1 87.50 950 11.00 40 2 86.00 945 11.25 45 3 84.00 940 11.75 27 4 78.00 930 11.75 22 5 84.50 935 12.00 34...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT