Researchers are studying the probability of detecting abnormalities in radiology images. The probability of detecting an abnormality in any given image is 25%.Consider a set of 4 radiology images. What is the probability that exactly 1 radiology image(s) show(s) an abnormality? _______

In the U.S., women’s heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches.  To become a NYC Rockette, a woman’s height must be between 66 inches and 70.5 inches.  What percent of the population of U.S. women have heights that meet the Rockette height requirement?  Answer as a percent rounded to 2 decimal places.

The population mean number of students in an Introduction to Statistics class is 33 students with a standard deviation of 2.5 students.  In a random sample of 35 Introduction to Statistics classes, what is the probability that the mean number students is at most 34?  You can use a standard error rounded to 4 decimal places.

Are the students correct and why?

John is part of a group of 18 to 24 years olds, and completed 57 sit-ups in 2 minutes. The 18 to 24 group mean was 55 sit-ups and the standard deviation was 3.5. Mike is part of a group of 25 to 34 year olds, and completed 57 sit-ups in 2 minutes. The 25 to 34 group mean was 52 sit-ups and the standard deviation was 6.1. Who received the better sit-up score relative to their age group, and why?

Two hypothesis tests were conducted for two different COVID-19 treatment medications aimed at improving respiratory function in severely ill patients. For treatment A, the p-value was 0.0713. For treatment B, the p-value was 0.0414. Which test has the more significant result?

Stock A has a mean selling price of $13.38 with a standard deviation of $2.37. Stock B has a mean selling price of $98.13 with a standard deviation of $7.85. A conservative investor wants to choose the most consistent stock. Which stock, A or B, is more consistent?

The heights of female college students is normally distributed.  Suppose the third quartile is 70 inches.  What is the best interpretation of the third quartile? 

Researchers have found that there is a relationship between the dosage of a new pain-relieving medication and the reduction in pain levels for patients. A regression model is determined, with the predictor variable x = dosage (mg) and the response variable y = reduction in pain levels (on a scale from 0 to 10). The data on which the model is based is given below, along with output of the regression analysis. Dosage (mg) 10 25 35 35 40 40 45 45 50 50 Pain Reduction 3.3 5.5 6.25 6.25 7.8 7 7.95 8.3 11.5 7.5 Correlation Coefficient:  r = 0.87 Regression Equation: y = 0.1509x + 1.4756 Use the given regression line equation to predict the reduction in pain levels (round to 2 decimal places) if the dosage of the medication is: 36 mg, predicted pain reduction =  _______ 60 mg, predicted pain reduction =  _______

For the previous question, is one of the predictions more reliable than the other?