From the fourth quarter, From the fourth quarter of 1997 to

From the fourth quarter

Assignment Help Basic Statistics

Reference no: EM13155293

1. Sixto Sanchez is the owner of Suburban Stylists.  He is evaluating the service level provided to walk-in customers. Because he is enrolled in an MBA program at Eastern University, Sixto decides to sample walk-in customers for the next two weeks.  He collects information from 82 walk-in customers and calculates that their average waiting times that is 21 minutes with a standard deviation of 4 minutes.

a)Determine the degrees of freedom to be used in further analysis.
b)Calculate the two sided 95% confidence interval for the population mean of waiting times.
c)Calculate the two sided 90% confidence interval for the population mean of waiting times.
d)Calculate the two sided 99% confidence interval for the population mean of waiting times.
e)What t table value should be used in calculating a two sided 95% confidence interval for the population mean of waiting times if the sample selected is 25 instead of 82?

2. Bay Area Community College (BACC) has collected data comparing the starting salaries of their graduating students with last names beginning with the letters A through M with those whose last names begin with N through Z.  The first category provided 47 random responses with an average starting salary of $29,426.42 and a standard deviation of $4,521.94.  The second category had 52 random responses with an average starting salary of $22,863.81 and a standard deviation of $2,378.66.
a)If you assume that last names should not have an impact on starting salary of graduates of BACC, then what is the appropriate null hypothesis?
b)State the research hypothesis in words and in notation.
c)Calculate the appropriate test statistic.
d)Calculate the appropriate p-value for the test statistic.
e)Is the statistic statistically significant?
f)What type of error if any has been committed?
3. Plymouth Rock Securities is interested in finding out if there is a relationship between the number of new clients brought into the firm by a broker and the sales performance of the broker. A random sample of 11 brokers' records are reviewed to determine the number of new clients enrolled last year and total sales in millions of dollars:
Broker     1    2    3    4    5    6    7   8    9    10      11
Clients    27 11   42   33   15   15 25  36   28 30 17
Sales, mce_markernbsp; 52 37   64   55   29   34 58  59   44 48 31
a)How closely related is the new client base to sales performance?  Draw the scatterplot and compute the correlation and describe the relationship
b)Find the least-squares equation to predict sales from number of clients. Can the least squares equation be used to predict sales?
c)What does the slope represent?
d)What would a new broker who brings in 30 clients sell, on average?
e)How much of the variability in sales is not explained by the number of new clients?
4. Jean Siskel is an entertainment analyst for West Coast Securities. He is trying to develop a model to estimate gross earning generated by a new movie release.  He has collected the following data on 20 movies: Gross Earnings, Production Costs, Promotion Costs, and if the movie is based on a bestseller novel:
Gross Earnings Production Cost Promotion Cost
Movie Millions $ Millions $ Millions $ Novel
1 28         4.2          1               0
2 35          6          3          1
3 50         5.5          6          1
4 20         3.3          1          0
5 75         12.5         11          1
6 60         9.6          8          1
7 15         2.5        0.5          0
8 72         10         12          1
9 45         6.4          8          1
10 37         7.5          5          0
11 30         5.0          1          1
12 63        10.1         10          0
13 58         7.8          9          1
14 50         6.9         10          0
15 24         3.5          4          0
16 82        11.0         15          1
17 48        10.7          1          1
18 34         6.6          2          0
19 50         8.4          3          1
20 45        10.8          5          0

a.What type of variable is novel?
b.What is the estimated multiple linear regression equation derived from this data?
c.What are the regression coefficients for each X variable?  Interpret the regression coefficient.
d.Will Jean be pleased with the results?
e.Interpret the intercept value.

5. The following data represent revenues in thousands of dollars for a manufacturer of small electric appliances.
Year Quarter Revenues
1996 1   514
1996 2   822
1996 3   648
1996 4   976
1997 1   616
1997 2   884
1997 3   678
1997 4   996
1998 1   658
1998 2   850
1998 3   714
1998 4   1052
a)Calculate the moving averages for this time series.
b)Find the seasonal index for each quarter.
c)From the fourth quarter of 1997 to the first quarter of 1998, revenues declined.  What happened on a seasonally adjusted basis?
d)Compute the forecast for the second quarter of 2002.
e)Find the regression equation to predict the long term trend in the seasonally adjusted revenues.

Reference no: EM13155293

Questions Cloud

Probability to make good on escape by using road b : The probability of selecting each of the roads are the same. It is 1/3. If the prisoner succeeds on her escape, what is the probability that she made good on her escape by using road b.

Determine the concentration of the sugar solution : You have 250.0 ml of 4.00 M sugar solution. You add 217.3 ml of water to this solution. Determine the concentration of the sugar solution after the water has been added

Total dividend payment : The company wants to maintain a target capital structure that is 35% debt and 65% equity. The company forecasts that its net income this year will be $1,800,000. If the company follows a residual dividend policy, what will be its total dividend pa..

Limitations of traditional accounting architecture : Explain the limitations of the traditional accounting architecture that make it difficult to directly trace the cash flows of an organization. Did FASB respond properly to accounting's information customers? Justify your response.

From the fourth quarter : From the fourth quarter of 1997 to the first quarter of 1998, revenues declined. What happened on a seasonally adjusted basis? d)Compute the forecast for the second quarter of 2002. e)Find the regression equation to predict the long term trend in th..

College paper on freedom-love and health : I'm writing a college paper on freedom, love, and health. Can you tell me what to put in the introduction?? The introduction is due Monday morning.

What is the probability of the offspring having green hair : In the species Cerebrum gigantus, purple eyes (y) are recessive to yellow eyes (Y) and green hair (b) is recessive to blue hair (B). One parent who is homozygous dominant for yellow eyes and heterozygous hair color has found a mate who is homozygo..

How does adverse selection problem arise in credit-card : How does the adverse selection problem arise in the credit-card market? How do credit-card companies reduce the adverse selection problem that they face? To what complaint does this give rise?

How to convert midterm score to a standard z score : whereas Zoe's class has an average of 83% with a standard deviation of 12%. Assume that scores in both classes follow a normal distribution. Convert Maria's midterm score of 84 to a standard z score.

User Account

All Pages