Identify the critical t. An independent random sample is selected from an approximately normal population with unknown standard deviation. Find the degrees of freedom and the critical t value ∗t∗ for the given sample size and confidence level. Round critical t values to 4 decimal places.

Sample size, n Confidence level Degree of Freedom Critical value, t∗t∗5 90 13 95 22 98 15 99

Which shows how to solve the equation 3/4x=6 for x in one step?

Graph a sine function whose amplitude is 3, period is 4π , midline is y = 2, and y-intercept is (0, 2) . the graph is not a reflection of the parent function over the x-axis. use the sine tool to graph the function. the first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

Mobon oil company owns a lease that entitles it to explore for oil on a parcel of offshore land in california. since the lease is about to expire mobon must now decide whether to drill for oil at the site or to sell the lease to excel oil company, which has just offered mobon $50,000. mobon estimates it would cost $100,000 to drill at the site. if the well were dry, all this cost would be lost. if the well were successful, its value to mobon would depend on the extent of the oil discovered. for simplicity, mobon assumes there are only two types of successful wells: minor and major success. mobon estimates that a minor success would result in revenues of $200,000 in excess of the drilling cost, whereas a major success would result in revenue of $500,000 in excess of the drilling cost. mobon has assessed the following probabilities: if the well is dry then the probability is 0.7, if it is a minor success the probability is 0.2, and if it is a major success the probability is 0.1. a) construct an appropriate payoff matrix, b) using the maximax criterion, identify the optimal decision c) using the maximin criterion, identify the optimal decision d) using the minimax criterion, identify the optimal decision e) using the emv criterion, identify the optimal decision