1. The weights of 9-ounce bags of a particular brand of potato chips can be modeled by a normal distribution with mean of 9.12 ounces and standard deviation 0.05 ounce. Use the empirical rule to answer the following questions. (Make sketch of normal curve on the back.) a. What percent of bags weigh less than 9.07 ounces? b. What proportion of bags weigh between 8.97 and 9.17 ounces?

please answer the question in the photo. Thank you

Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway per hour and 85 miles per hour. (Assume the data set has a bell-shaped distribution.) 70 miles per hour, with a standard deviation of 5 miles per hour. Estimate the percent of vehicles whese speeds are between 55 miles Approximately% of vehicles travel between 55 miles per hour and 85 miles per hour.

Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per​ hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour.​ (Assume the data set has a​ bell-shaped distribution.) Approximately nothing​% of vehicles travel between 65 miles per hour and 71 miles per hour.

3. The fill volume of an automated filling machine used for filling cans of carbonated beverage isnormally distributed. Suppose that the mean of the filling operation can be adjusted easily, but thestandard deviation remains at 0.4 fluid ounce.a. At what value should the mean be set so that 99.9% of all cans exceed 12 fluid ounces?b. At what value should the mean be set so that 99.9% of all cans exceed 12 fluid ounces if thestandard deviation can be reduced to 0.09 fluid ounce?

Consider a sample data set with the summary statistics s= 112, Q = 58, and Q, =203. %3D a. Calculate IQR. b. Calculate IQR/s. c. Is the value of IQR/s approximately equal to 1.3? What does this imply? a. IQR =

Save In a study on infants, one of the characteristics measured was head circumference. The mean head circumference of 9 infants was 34.9 centimeters (cm). Complete parts (a) through (d) below. Click here to view Page 1 of the table of areas under the standard normal curve. Click here to view Page 2 of the table of areas under the standard normal curve. a. Assuming that head circumferences for infants are normally distributed with standard deviation 2.4 cm, determine a 95% confidence interval for the mean head circumference of all infants. The confidence interval for the mean head circumference of all infants is from cm to decimal place as needed.) cm. (Round to one