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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 渭produced 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

A radio talk show host with a large audience is interested in the proportion pof adults in his listening area who think the drinking age should be lowered to eighteen. To find this out, he poses the following question to his listeners: "Do you think that the drinking age should be reduced to eighteen in light of the fact that eighteen-year-olds are eligible for military service?" He asks listeners to phone in and vote "Yes" if they agree the drinking age should be lowered and "No" if not. Of the 100people who phoned in, 70answered "Yes." Which of the following conditions for inference about a proportion using a confidence interval are violated?

I. The data are a random sample from the population of interest.

II. nis so large that both np铃�andn1-p铃�are at least 10.

III. The population is at least 10times as large as the sample.

(a) I only

(c) III only

(c) I, II, and III

(b) II only

(d) I and II only

In preparing to construct a one-samplet interval for a population mean, suppose we are not sure if the population distribution is Normal. In which of the following circumstances would we not be safe constructing the interval based on an SRS of size 24from the population?

(a) A stem plot of the data is roughly bell-shaped.

(b) A histogram of the data shows slight skewness.

(c) A stem plot of the data has a large outlier.

(d) The sample standard deviation is large.

(c) The tprocedures are robust, so it is always safe.

Power lines and cancer (4.2,4.3)Does living near power lines cause leukemia in children? The

National Cancer Institute spent 5 years and $5million gathering data on this question. The researchers compared 638children who had leukemia with620who did not. They went into the homes and actually measured the magnetic fields in children's bedrooms, in other rooms, and at the front door. They recorded facts about power lines near the family home and also near the mother's residence when she was pregnant. Result: no connection between leukemia and exposure to magnetic fields of the kind produced by power lines was found.

(a) Was this an observational study or an experiment? Justify your answer.

(b) Does this study show that living near power lines doesn't cause cancer? Explain.

Election polling Gloria Chavez and Ronald Flynn are the candidates for mayor in a large city. We want to estimate the proportion pof all registered voters in the city who plan to vote for Chavez with 95% con铿乨ence and a margin of error no greater than 0.03. How large a random sample do we need? Show your work.

You have measured the systolic blood pressure of an SRS of 25company employees. A 95%confidence interval for the mean systolic blood pressure for the employees of this company is (122,138). Which of the following statements gives a valid interpretation of this interval?

(a) 95%of the sample employees have systolic blood pressure between 122and138.

(b) 95%of the population of employees have systolic blood pressure between 122and138.

(c) If the procedure were repeated many times, 95%of the resulting confidence intervals would contain the population mean systolic blood pressure.

(d) The probability that the population mean blood pressure is between 122and138is 0.95.

(e) If the procedure were repeated many times, 95%of the sample means would be between122and138.
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