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To determine the effect of 100% nitrate on the growth of pea plants, several specimens were planted and then watered with 100% nitrate every day. At the end of two weeks, the plants were measured. Here are data on seven of them: 17.5 14.5 15.2 14.0 17.3 18.0 13.8 Assume that these data are a random sample from a normal distribution N(μ, σ2).(a) Find the value of a point estimate of μ.(b) Find the value of a point estimate of σ.(c) Give the endpoints for a 90% confidence interval for μ.

Respuesta :

Answer:

Step-by-step explanation:

From the attached photo

mean = 15.76

Standard deviation = 1.66

c) We want to determine a 90% confidence interval for the mean growth of pea plants

For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

It becomes

15.76 ± 1.645 × 1.66/√7

= 15.76 ± 1.645 × 0.63

= 15.76 ± 1.04

The lower end of the confidence interval is 15.76 - 1.04 =14.72

The upper end of the confidence interval is 15.76 + 1.04 =16.8

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