Leaf surface area is an important variable in plant gas-exchange rates. Dry matter per unit surface area (mg/cm) was measured for trees raised under three different growing conditions. Let .a, and , represent the true mean dry matter per unit surface area for the growing conditions 1, 2, and 3, respectively. Suppose that the 95% T-K confidence intervals are given below. pifference H - Interval (-2.55, -0.55) (-2.74, -0.74) (-1.93, 0.07) Which of the following four statements do you think describes the relationship between Hg and ? OP: = Ha, and , differs from , and p- OP = H3, and g differs from , and py- O = H3, and , differs from , and py- O Al three 's are different from one another.

2.4

Suppose that a machine has been calibrated so that the amount the material dispensed deviates from its specified target is normally distributed with a mean of 0 grams and a standard deviation of 1 gram. A single amount of material is dispensed. Let Z represent the amount the material dispensed deviates from it specified target. What amount of deviation represent the highest 3.59%? That is, if P(z > c) = 0.0359, find c. Round your answer to 2 decimals. c = grams. Add Work

Suppose, household color TVs are replaced at an average age of μ = 9.0 years after purchase, and the (95% of data) range was from 5.8 to 12.2 years. Thus, the range was 12.2 − 5.8 = 6.4 years. Let x be the age (in years) at which a color TV is replaced. Assume that x has a distribution that is approximately normal. (a) The empirical rule indicates that for a symmetric and bell-shaped distribution, approximately 95% of the data lies within two standard deviations of the mean. Therefore, a 95% range of data values extending from μ − 2σ to μ + 2σ is often used for "commonly occurring" data values. Note that the interval from μ − 2σ to μ + 2σ is 4σ in length. This leads to a "rule of thumb" for estimating the standard deviation from a 95% range of data values. Estimating the standard deviationFor a symmetric, bell-shaped distribution, standard deviation ≈ range 4 ≈ high value − low value 4 where it is estimated that about 95% of the commonly occurring data…