Let X Be a Random Variable Representing Dividend Yield of Australian

question 1

Multiple Choice

Let x be a random variable representing dividend yield of Australian bank stocks. We may assume that x has a normal distribution with $\sigma$ = 2.9%. A random sample of 14 Australian bank stocks has a sample mean of x = 6.35%. For the entire Australian stock market, the mean dividend yield is $\mu$ = 5.2%. Do these data indicate that the dividend yield of all Australian bank stocks is higher than 5.2%? Use $\alpha$ = 0.05. Find (or estimate) the P-value.

• A)0.931
• B)0.034
• C)0.069
• D)0.138
• E)1.862

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Definitions:

Intrapersonal

Relating to or within a person's own mind or self.

Interquartile Range

The difference between the 75th and 25th percentiles of a data set, representing the middle 50%.

Third Quartile

The value below which 75% of the data fall, often represented as Q3 in statistics.

First Quartile

The 25th percentile of a data set, below which lies 25% of the data.