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6 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, σ (a) Find the value of a point estimate of μ. (b) Find the value of a point estimate of σ2 (c) Give the endpoints for a 95% confidence interval for μ.

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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 Assume that these data are a random sample from a normal distribution N(μ,02) a) Calculate the value of a point estimate of μ ΣΧ, 72 17.5 +14.5+15.2 +14+17.3+18+13.8 110.3 -15.757 b) Calculate point estimate of σ72 , (17.5-15.757) Ч (13.8-15.757) 19.257 2.7510 c) Calculate 95% confidence interval for μ The critical value of z for the two tail test at the 5% level of significance is 1.96 Therefore, 72 15.757(196,2751 -15.757 +(1.96) 15.757 ±1.229 -(14.528,16.986)

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