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?

Suppose a data set has a mean of 200 and a standard deviation of 12. Find the data value that is 1.6 standard deviations below the mean.

Assume the IQ scores of a distribution of 1000 college-aged students is bell shaped with a mean of 115 and a standard deviation of 9. Use the Empirical rule to determine the percentage of students who are expected to have IQ scores from 106 to 142.

A survey is conducted among college graduates to estimate the average age at which one gets his or her first college degree. For a sample of 12 college graduates, the following ages were collected: 23 26.5 29 21.4 24 34 23.7 21.6 32.4 24.1 24.5 27.7 1.  Find the sample mean. Round to 2 decimal places: _______ (b) Find the sample standard deviation. Round to 4 decimal places: _______ 3. Fill in the formula blanks below with specific values for this problem (not symbols) to construct a 99% confidence interval. To enter x{“version”:”1.1″,”math”:”x”} where x is any number, type sqrt(x). For example, 2{“version”:”1.1″,”math”:”2″} should be written as sqrt(2).Round the z-score or t-score to 3 decimal places. (a)  _______ (b)  _______ (c)  _______ (d)  _______ (e)  _______ (f)  _______ (g)  _______ (h)  _______ 4. Using the formula from part 3, calculate the 99% confidence interval.  Round each answer to the nearest hundredth (2 decimal places). _______ years to  _______  years. 5. Find the margin of error for this confidence interval. Do not round. _______