Question

An ecology class at recently hypothesized that the fronds of
sword fern at a local park **grow LONGER** in the sun
than in the shade. To test this hypothesis they randomly sampled 21
sword ferns growing in the shade and 21 sword ferns growing in the
sun, and measured the length of the fronds in the upper section of
each fern (cm). Welch's df are 37 and α=0.05. Their results are
given below:

x¯ | sx | n | |

Sun | 142.8 cm | 17.3 cm | 21 |

Shade | 125.4 cm | 22.2 cm | 21 |

a)What is the value for the **point estimate** of
the **difference between the population mean** frond
length in the sun and the population mean frond length in the shade
(**sun-shade**)?

b) What is the value for the **point estimate** of
the **standard error of the difference between the sample
mean** frond length in the sun and the sample mean frond
length in the shade (**sun-shade**)?

c)Calculate a **lower-bound (one-sided)** 95%

d) Explain why a **lower-bound (one-sided)** 95%
confidence interval for the difference in population mean frond
length between sun and shade (sun-shade) is appropriate for this
question

Answer #1

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