A survey for brand recognition is done and it is determined that 48% of consumer

Question

A survey for brand recognition is done and it is determined that 48% of consumers have heard of Dull Computer Company. A group of 650 is randomly selected.

i) find the mean and the standard deviation for the brand recognition of this group. store the formula and units.

ii) find the rang of the usual values. state the formulas and units

iii) would it be significantly high or not to get 350 consumers who recognize the company name?

make your conculsion in a complete sentences based on range of usual values and empirical rules of normal distri.

Explanation / Answer

Answer:

A survey for brand recognition is done and it is determined that 48% of consumers have heard of Dull Computer Company. A group of 650 is randomly selected.

i) find the mean and the standard deviation for the brand recognition of this group. store the formula and units.

Binomial distribution used.

n=650, p=0.48

Expectation = np = 312

Variance = np(1 - p) = 162.24

Standard deviation = 12.7373

ii) find the range of the usual values. state the formulas and units

range of the usual values = ( mean -2*sd, mean+2*sd)

=(312-2*13.7373, 312+2*13.7373)

=(284.5254, 339.4746)

=( 285, 339) ( rounded to whole number).

iii) would it be significantly high or not to get 350 consumers who recognize the company name? make your conclusion in a complete sentences based on range of usual values and empirical rules of normal distribution.

The number 350 is not in the range of the usual values and is above the range (285, 339).

To get 350 consumers who recognize the company name is significantly high or not to get.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.