Normal Curve Standard normal curve: 0 and a 1 A normal curve must be standardized in order to use the z-table. To convert a cutoff value to a standard score use the z x- score formula. z Note: The z table in the text allows for cumulative areas to be determined directly. The picture at the top of the table reminds you that the table is only for areas to the left of the cutoff z. Directions: For each of the following questions, sketch a normal curve and shade the area in the question. LABEL THE SKETCH. Show all work and provide a statement that clearly conveys the question being addrèssed and the answer. A light bulb is advertised as lasting 1000 hours with a standard deviation of 150 hours. Assume the 'life' of a light bulb is normally distributed. Determine the probability that a randomly selected light bulb will last between 1000 and 1250 hours. a. light bulb will last móre than 1250 hours. b. Determine the probability that a randomly selected

A researcher is using the regression model Y=61+4.5X to predict a persons score on a happiness questionnaire based on their number of friends Predict the happiness score for someone with 8 friends

Range of ankle motion is a contributing factor to falls among the elderly. Suppose a team of researchers is studying how compression hosiery, typical shoes, and medical shoes affect range of ankle motion. In particular, note the variables Barefoot and Footwear2. Barefoot represents a subject's range of ankle motion (in degrees) while barefoot, and Footwear2 represents their range of ankle motion (in degrees) while wearing medical shoes. Use this data and your preferred software to calculate the equation of the least-squares linear regression line to predict a subject's range of ankle motion while wearing medical shoes, ?̂ , based on their range of ankle motion while barefoot, ? . Round your coefficients to two decimal places of precision. ?̂  = A physical therapist determines that her patient Jan has a range of ankle motion of 7.26°7.26° while barefoot. Predict Jan's range of ankle motion while wearing medical shoes, ?̂ . Round your answer to two decimal places. ?̂ = Suppose Jan's…

Data was collected for a regression analysis comparing car weight and fuel consumption. b0 was found to be 32.7, b1 was found to be -7.6, and R2 was found to be 0.86. Interpret the y-intercept of the line. On average, each one unit increase in the weight of a car decreases its ful consumption by 7.6 units. On average, when x=0, a car gets -7.6 miles per gallon. On average, when x=0, a car gets 32.7 miles per gallon. On average, each one unit increase in the weight of a car increases its fuel comsumption by 32.7 units. We should not interpret the y-intercept in this problem.

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The line of best fit through a set of data isy=21.974+1.021xy=21.974+1.021xAccording to this equation, what is the predicted value of the dependent variable when the independent variable has value 140?   Y=