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# HI6007 Statistics For Business Decisions

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• Course Code: HI6007
• University: Holmes Institute
• Country: Australia

### 1 .

Below you are given the examination scores of 20 students

 52 99 92 86 84 63 72 76 95 88 92 58 65 79 80 90 75 74 56 99

a. Construct a frequency distribution, cumulative frequency distribution, relative frequency distribution, cumulative relative frequency distribution and percent frequency distribution for the data set using a class widthof

b. Construct a histogram showing the percent frequency distribution of the examination scores. Comment on the shape ofthe

### 2.

Shown below is a portion of a computer output for a regression analysis relating supply (Y in thousands of units) and unit price (X in thousands of dollars).

 ANOVA df SS Regression 1 354.689 Residual 39 7035.262 Coefficients Standard Error Intercept 54.076 2.358 X 0.029 0.021

 a. What has been the sample size for this problem? b. Determine whether or not supply and unit price are related. Use α = 0.05. c. Compute the coefficient of determination and fully interpret its meaning. Be very specific. d. Compute the coefficient of correlation and explain the relationship between supply and unit price. e. Predict the supply (in units) when the unit price is \$50,000.

### 3.

Allied Corporation wants to increase the productivity of its line workers. Four different programs have been suggested to help increase productivity. Twenty employees, making up a sample, have been randomly assigned to one of the four programs and their output for a day's work has been recorded. You are given the results below

 Program A Program B Program C Program D 150 150 185 175 130 120 220 150 120 135 190 120 180 160 180 130 145 110 175 175

 a. Construct an ANOVA table. b. As the statistical consultant to Allied, what would you advise them? Use a .05 level of significance.

### 4.

A company has recorded data on the weekly sales for its product (y), the unit price of the competitor's product (x1), and advertising expenditures (x2). The data resulting from a random sample of 7 weeks follows. Use Excel's Regression Tool to answer the following

 Week Price Advertising Sales 1 .33 5 20 2 .25 2 14 3 .44 7 22 4 .40 9 21 5 .35 4 16 6 .39 8 19 7 .29 9 15 a. What is the estimated regression equation? Show the regression output. b. Determine whether the model is significant overall. Use α = 0.10. c. Determine if competitor’s price and advertising is individually significantly related to sales. Use α = 0.10. d.   e. Based on your answer to part (c), drop any insignificant independent variable(s) and re-estimate the model. What is the new estimated regression equation?    Interpret the slope coefficient(s) of the model from part (d).

### Cite This Work

My Assignment Help (2020) Statistics For Business Decisions [Online]. Available from: https://myassignmenthelp.com/free-samples/hi6007-statistics-for-business-decisions/construct-a-frequency-distribution.html
[Accessed 27 January 2021].

My Assignment Help. 'Statistics For Business Decisions' (My Assignment Help, 2020) <https://myassignmenthelp.com/free-samples/hi6007-statistics-for-business-decisions/construct-a-frequency-distribution.html> accessed 27 January 2021.

My Assignment Help. Statistics For Business Decisions [Internet]. My Assignment Help. 2020 [cited 27 January 2021]. Available from: https://myassignmenthelp.com/free-samples/hi6007-statistics-for-business-decisions/construct-a-frequency-distribution.html.

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