1find the critical value z2 needed to construct an 97 confidence interval 2a college admissions

To find the critical value $z_{alpha/2}$ for a 97% confidence interval, we need to find the val

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1) Find the critical value zÎ±/2 needed to construct a 97% confidence interval. 2) A college admissions officer takes a simple random sample of 110 entering freshmen and computes their mean mathematics SAT score to be 465. Assume the population standard deviation. Construct a 90% confidence interval for the mean mathematics SAT score for the entering freshmen class. 3) In a small-overlap front crash test, a car is crashed into a simulated telephone pole and the maximum intrusion of debris into the passenger compartment of a specific model of car is measured. This intrusion is normally distributed with a standard deviation of 2.5 cm. How many cars must be crashed to establish that a 98% confidence interval for the mean intrusion of debris into the passenger compartment will have a margin of error of 0.3 cm?

          1) Find the critical value zÎ±/2 needed to construct a 97% confidence interval.
    2) A college admissions officer takes a simple random sample of 110 entering freshmen and computes their mean mathematics SAT score to be 465. Assume the population standard deviation.
    Construct a 90% confidence interval for the mean mathematics SAT score for the entering freshmen class.
    3) In a small-overlap front crash test, a car is crashed into a simulated telephone pole and the maximum intrusion of debris into the passenger compartment of a specific model of car is measured. This intrusion is normally distributed with a standard deviation of 2.5 cm.
    How many cars must be crashed to establish that a 98% confidence interval for the mean intrusion of debris into the passenger compartment will have a margin of error of 0.3 cm?

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