A random sample of small-business managers was given a leadership style questionnaire. The results were scaled so that each manager received a score for initiative. Suppose the following data are a random sample of these scores. 35 42 41 39 38 31 41 35 35 45 30 33 35 44 36 35 39 33 39 41 41 33 35 36 41 33 35 38 41 42 44 35 36 33 38 32 30 35 42 Assuming is 4.057, use these data to construct a 90% confidence interval to estimate the average score on initiative for all small-business managers. (Round the intermediate values to 3 decimal places, e.g. 25.316. Round your answers to 3 decimal places, e.g. 25.316.) enter the lower value of the interval enter the upper value of the interval

Suppose a random sample of 78 items has been taken from a population and 44 of the items contain the characteristic of interest. a. Use this information to calculate a 90% confidence interval to estimate the proportion of the population that has the characteristic of interest. b. Calculate a 95% confidence interval. c. Calculate a 99% confidence interval. d. As the level of confidence changes and the other sample information stays constant, what happens to the confidence interval?Round to two decimal places

A survey of 77 commercial airline flights of under 2 hours resulted in a sample average late time for a flight of 2.62 minutes. The population standard deviation was 12 minutes. Construct a 95% confidence interval for the average time that a commercial flight of under 2 hours is late. What is the point estimate? What does the interval tell about whether the average flight is late?

(Round your answers to 2 decimal places, e.g. 25.31.)

enter the lower value of the interval

enter the upper value of the interval

The point estimate is

enter the point estimate