Find probability using normal approximation to binomial

Assignment Help Basic Statistics

Reference no: EM13116181

Stanford-Binet IQ Test scores are normally distributed with a mean score of 100 and a standard deviation of 16.

(a) Find the probability that a randomly selected person has an IQ test score
(1) between 72 and 128.
(2) within 1.5 standard deviations of the mean.

(b) Suppose that you take the Stanford-Binet IQ Test and receive a score of 136. What percentage of people would receive a score higher than yours?

In a survey of marketing professionals about various scenarios involving ethical issues, among 205 randomly selected marketing researchers who participated in the survey, 117 said they disapprove of an actions taken in a certain scenario. Suppose that,
before the survey was taken, a marketing manager claimed that at least 65 percent of all marketing researchers would disapprove of that scenario.

(a) Assuming that the manager's claim is correct, calculate the probability that 117 or fewer of205 randomly selected marketing researchers would disapprove of the scenario. Use the normal approximation to the binomial.

(b) Based on you result of part (a), do you believe the marketing manager's claim? Explain.

Reference no: EM13116181

Questions Cloud

At which the enzyme performs best : If you increase or decrease the pH value in an experiment then what does that do to the optimum temperature at which the enzyme performs best? Does it change it or will it stay the same?

How many pages should the manufacturer advertise : How many pages should the manufacturer advertise for each cartridge if it wants to be correct 90 percent of the time?

What does gross domestic product tell us : What does gross domestic product (GDP) tell us? How did GDP change from 2008? What caused these changes? What is real GDP? What was real GDP in 2008 and has it changed since 2008?

Compute the centripetal acceleration of the child : A child sitting 2.00 m from the center of a merry-go-round moves with a speed of 1.65 m/s. Compute the centripetal acceleration of the child (m/s), and the net horizontal force exerted on the child (N). (m = 29.0 kg).

Find probability using normal approximation to binomial : Assuming that the manager's claim is correct, calculate the probability that 117 or fewer of 205 randomly selected marketing researchers would disapprove of the scenario.

Name the three modes of energy : Name the three modes of energy (heat) transfer and briefly discuss them. Include at least one example of each to illustrate your discussion.

How many balloons can be filled with helium gas : you have a 30.0 L cylinder of helium at a pressure of 132 atm and a temperature of 24 degrees Celsius. the He is used to fill balloons to a volume of 3.00 L at 1.07 atm and 29 degrees Celsius.

Explain error messages and the user interface : When thinking about error messages and the user interface, what are the different types of errors and what are some of the ways we can design our system to provide clear error messages

Why would the material stop at the center of the earth : It is said that a teaspoon full of neutron star material is so dense that it would burrow directly to the center of the earth. Assume this is valid (it is, actually). Why would the material stop at the center of the earth?

User Account

All Pages