Individual Assignment #6

MKTG Research – these are individual assignments students areasked to respond to the prompt/assignment and to submit the work (inboth hard copy and electronic upload) at the start of class. Donot repeat the prompt but use the numbers as an outline for a memo(eg: 1. Refers to the answer for prompt #1,etc).

Memo

From:

To: Associate Professor, Conran

RE: MKTG 3511 (section) Assignment #1

  1. In each of the following situations, formulate the null and alternative hypothesis Where (:

    1. A new product will be introduced if it is preferred by more than 70% of the consumers in the target market.

H0 :  H1: 

    1. A new commercial will be aired if the average preference for it exceeds 5.8 on a 7-point scale

H0 :  H1 : 

    1. A company will start selling its products online if more than 55% of the consumers express a preference of online purchases.

H0:  H1 : 

    1. The average price of a pair of jeans available in the marketplace exceeds $45.

H0 :  H1: 45

    1. Less than 40% of the people approve of Mayor Nutter’s performance as Mayor of Philadelphia

H0: µ&lt 40 H1: µ&gt40

    1. The mean familiarity with banks is different than 4.0 on a 7-point scale.

H0: µ&gt4.0 H1:µ&lt4.0

  1. A major department store chain is having a sale on refrigerators. The number of refrigerators sold during this sale at a sample of ten stores was: 80, 110, 0, 40, 70, 80, 100, 50, 80, and 30.

    1. What are the mean, median, and mode?

Mode = 80

Mean = 64

Median = 75

    1. Which measures of central tendency is the most appropriate in this case and explain why it is the most appropriate.

Mean is the mostappropriate central tendency because it takes care of both the lowestand the highest figure.

    1. What are the variance and standard deviation in this set of data?

Variance = 1055.36

Standard Deviation = 35.28

    1. Construct a histogram and discuss whether this variable is normally distributed.

From the histogram, it isevident that the variable is not evenly distributed since thefrequencies rise and fall unevenly.

  1. A pilot survey was conducted with thirty respondents to examine Internet usage for personal (non-professional) reasons. The following table contains the resulting data giving each respondent’s gender (1 = male, 2 == female) familiarity with the internet (1 = very unfamiliar, 7 =very familiar) internet usage in hours per week attitude toward internet and towards technology (both measured on a 7-point scale with 1 = very unfavorable, 7 – very favorable) and whether the respondent shopped or banked online (1 = yes , 2 = no).

    1. Obtain the frequency distribution of familiarity with the internet.

Range

Frequency

2

2

3

6

4

6

5

3

6

8

7

4

0

1

    1. Calculate the relevant statistics (mean, median, mode, variance, Std Deviation and range).

Mean=4.57

Median=4.5

Mode=6

Std. Deviation=1.77

Variance=3.15

Range=3.2

    1. For the purposes of demonstrating knowledge and experience with cross-tabulations classify respondents as light or heavy users (those reporting five hours or less usage can be classified as “light users” and the remaining as “heavy users”). Run a cross-tabulation of gender and internet usage. Interpret the results.

    1. Is internet usage related to gender?

From the table in (c.) above,it is clear that the internet users is related to gender. The tableshows that more males are heavy users than females while more femalesare light users than males.