A survey of 131 investment managers in Barron's Big Money...

A survey of 131 investment managers in Barron's Big Money poll revealed the following: * 43$\%$ of managers classified themselves as bullish or very bullish on the stock market. * The average expected return over the next 12 months for equities was 11.2$\%$ . * 21$\%$ selected health care as the sector most likely to lead the market in the next 12 months. * When asked to estimate how long it would take for technology and telecom stocks to resume sustainable growth, the managers' average response was 2.5 years. a. Cite two descriptive statistics. b. Make an inference about the population of all investment managers concerning the average return expected on equities over the next 12 months. c. Make an inference about the length of time it will take for technology and telecom stocks to resume sustainable growth.

A survey of 131 investment managers in Barron's Big Money poll revealed the following:
* 43$\%$ of managers classified themselves as bullish or very bullish on the stock market.
* The average expected return over the next 12 months for equities was 11.2$\%$ .
* 21$\%$ selected health care as the sector most likely to lead the market in the next 12 months.
* When asked to estimate how long it would take for technology and telecom stocks to resume sustainable growth, the managers' average response was 2.5 years.
a. Cite two descriptive statistics.
b. Make an inference about the population of all investment managers concerning the average return expected on equities over the next 12 months.
c. Make an inference about the length of time it will take for technology and telecom stocks to resume sustainable growth.

Key Concepts

Inferential Statistics

Inferential statistics are used to draw conclusions or make predictions about a larger population based on data sampled from that population. This process involves estimating population parameters, testing hypotheses, and determining the reliability of these estimates, thereby allowing one to generalize findings beyond the immediate sample.

Descriptive Statistics

Descriptive statistics involve summarizing and organizing data from a sample to present a clear, concise picture of its characteristics. This includes measures like percentages, means, medians, and standard deviations, which provide an overview of the observed trends and distributions without making broader generalizations.

Transcript

00:02 Hey everyone.

00:03 Today we're solving problem number 20 from chapter one of the textbook, the essentials of modern business statistics.

00:12 So this is a three -part question where you're told that basically there's a survey of 131 investment managers and then different data about those 131 invest managers is given.

00:25 So the first piece of information given is that 43 % are bullish or very bullish in their stuff.

00:32 Market in the stock market.

00:34 The second piece of information given is that the average return over in the next year with the stocks is 11 .2%.

00:41 And then the third piece of information is that 21 % believe that healthcare will be the lead sector in the next year of the market cycle.

00:50 And then the last piece of information given is that both tech and telecom stocks will resume sustainable growth in about two and a half years.

01:02 So in part a, we're asked to cite two descriptive statistics.

01:06 Descriptive statistics are an estimate of a population parameter based on the sample statistic.

01:12 So based on our sample survey 131 people, what can we kind of conclude, not conclude definitively, but what can we kind of notice about the population of all investment managers? so in this particular case, percentages are going to be your descriptive statistics.

01:32 So we know that 43 % in the sample of 131 managers felt bullish or very bullish.

01:41 So right away, we know that 43 % has to be one of our descriptive statistics because then we can state about the population parameter that 43 % of all investment managers would feel bullish or very bullish.

01:55 And then also 21 % believe that healthcare would be the lead sector and would be the lead sector in the next 12 months.

02:04 Again, if 21 % in the sample believe it, you got to think that 21 % in our population parameter, that's going to be another descriptive statistic right there.

02:13 So again, the percentages here are going to be your two descriptive statistics.

02:17 All right, moving on to part b, where we are asked what we can infer.

02:24 Basically, it's asking what we can infer about the population of all investment managers regarding the average return estimate...

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