The average price of homes sold in the U.S. in 2016 was $240,000. A sample of 150 homes sold in Atlanta in 2019 showed an average price of $236,000. It is known that the standard deviation of the population (σ) is $36,000. We are interested in determining whether the average price of homes sold in Chattanooga is significantly less than the national average.Use a significance level of α equal to 0.05. Calculate using the P-Value and Critical Value Approach

A set of population data has a mean of 586 and a standard deviation of 54.8.  Calculate the z-score for a data point that has the value 607.9.  Round your answer off to 2 decimal places.

Assume that the test scores for biostatistics midterm examination are normally distributed with a mean of 74 and a standard deviation of 10. i. Suppose that you receive a score of 88. What percent of the class received scores higher than yours?  ii. Suppose that the teacher wants to limit the number of A grades in the class to no more than 20%. What would be the lowest score for an A?

A quick survey of peanut butter prices had standard deviation and mean of $.26 and $3.68 respectively. Compute the area for a peanut butter jar costing more than $4.25

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.

A community college Math instructor feels that the average age of community college students decreased since they started teaching 25 years ago.  Looking up data from the year the instructor started teaching, the mean age of community college students was 24.3 years old, with a population standard deviation of 2.2 years.  The Math instructor took a sample of 40 of their current community college students and found that the sample had a mean age of 23.7 years old.  Assume the population of ages of community college students is normally distributed and that the population standard deviation has remained the same. Test at the 5% significance level if the mean age of community college students is now less than 24.3 years old.   The question is attached.

The Alpha company takes a survey of the age for all employees. The average age is 35 with a standard deviation of 3.2 years. The results for a normal distribution curve. If the company has 985 workers, how many are over 44 years old?