Question

1. Suppose we are interested in testing whether a population mean is more than 100. The sample we take yields a mean of 140. This is sufficient evidence to conclude that the population mean is more than 100.

True

False

2. A marketing company surveyed 200 households and found that in 120 of them the woman made the majority of the purchasing decisions. We are interested in the population proportion of households where women make the majority of the purchasing decisions. The random variable X counts the population households where women make the majority of the purchasing decisions.

True

False

Answer 1

Solution:

1) FALSE.

Claim : $\mu$ > 100

A sample is taken . The sample mean $\bar x$ = 140.

We cant say about the claim using only this $\bar x$ = 140. We need to do procedure of t test for the mean . For that , we need sample size , sample standard deviation .

2) FALSE

n = 200 ( sample size)

x = No. pf successes in the sample

The random variable X counts the sample  households where women make the majority of the purchasing decisions.