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Chapter 8: Q. 72 (page 520)

Velvetleaf is a particularly annoying weed in cornfields. It produces lots of seeds, and the seeds wait in the soil for years until conditions are right for sprouting. How many seeds do velvetleaf plants produce? The Fathom histogram below shows the counts from 28plants that came up in a cornfield when no herbicide was used. Explain why it would not be wise to use a one-sample tinterval to estimate the mean number of seeds μproduced by velvetleaf plants.

Short Answer

Expert verified

The NORMAL requirement to use the t-procedure is thus not satisfied.

Step by step solution

01

Given Information

02

Explanation

In the histogram, we note that there are 2outliers (to the right) and the distribution appears to be left-skewed (since the outliers are to the right).

Since the distribution contains outliers and skewness, the distribution is NOT approximately a normal distribution.

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Most popular questions from this chapter

What inference method will you use? Check that the conditions for using this procedure are met.

Interpret the confidence level.

The company’s customer satisfaction survey.

In the company’s prior-year survey, 80% of customers surveyed said they were “satisfied” or “very satisfied.” Using this value as a guess for pˆ, find the sample size needed for a margin of error of 3% at a 95% confidence level.

NAEP scores Refer to Exercise 5. Below your sketch, choose one value of x inside the shaded region and draw its corresponding confidence interval. Do the same for one value of x outside the shaded region. What is the most important difference between these intervals?

I collect an SRS of size n from a population and compute a 95%confidence interval for the population proportion. Which of the following would produce a new confidence interval with larger width (larger margin of error) based on these same data?

(a) Use a larger confidence level.

(b) Use a smaller confidence level.

(c) Increase the sample size.

(d) Use the same confidence level, but compute the interval n times. Approximately5% of these intervals will be larger.

(e) Nothing can guarantee absolutely that you will get a larger interval. One can only say that the chance of obtaining a larger interval is 0.05.
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