The table below shows average tuition and fees charged by American colleges and universities as well as federal student assistance for the years 1995 to 2005. Let x represent the number of years since 1995. Use the data in the table to answer the follwoing qestions. Year 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 tuition/fees public ($) 2057 2179 2271 2360 2430 2506 2562 2700 2903 3319 3629 tuition/fees private ($) 11111 11864 12498 12801 13428 14081 15000 15742 16383 17327 18154 federal assistance (million $) 35477 38865 40074 43072 40162 44007 48582 55525 62275 69053 72112 Step 1: Calculate the percentage of increase for the private college and university tuition and fees from1995 to 1999. Enter your answer inside the box below and round the answer to the nearest whole number. Calculate the percentage of increase for the private college and university tuition and fees from 2000 to 2005. Enter your answer inside the box below and round the answer to the nearest whole number. Calculate the percentage of increase for the private college and university tuition and fees from1995 to 2005. Enter your answer inside the box below and round the answer to the nearest whole number. Which college and university tuition and fees has higher percent of the increase from 1995 to 2005? private or public Step 2 Calculate the percentage of increase for the federal assistance from1995 to 1999. Enter your answer inside the box below and round the answer to the nearest whole number. Calculate the percentage of increase for the federal assistance from 2000 to 2005. Enter your answer inside the box below and round the answer to the nearest whole number. Calculate the percentage of increase for the federal assistance from1995 to 2005. Enter your answer inside the box below and round the answer to the nearest whole number. For what years did the federal assistance percentage of increase lag behind the tuition increase? 1995 to 1999, 2000 to 2005, or 1995 to 2005 For what years did the federal assistance percentage of increase equal or exceed the tuition increase? 1995 to 1999, 2000 to 2005, or 1995 to 2005
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The table below shows average tuition and fees charged by American colleges and universities as well as federal student assistance for the years 1995 to 2005. Let x represent the number of years since 1995. Use the data in the table to answer the follwoing qestions.
Year | 1995 | 1996 | 1997 | 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 |
tuition/fees public ($) |
2057 | 2179 | 2271 | 2360 | 2430 | 2506 | 2562 | 2700 | 2903 | 3319 | 3629 |
tuition/fees private ($) |
11111 | 11864 | 12498 | 12801 | 13428 | 14081 | 15000 | 15742 | 16383 | 17327 | 18154 |
federal assistance (million $) |
35477 | 38865 | 40074 | 43072 | 40162 | 44007 | 48582 | 55525 | 62275 | 69053 | 72112 |
Step 1:
Calculate the percentage of increase for the private college and university tuition and fees from1995 to 1999. Enter your answer inside the box below and round the answer to the nearest whole number.
Calculate the percentage of increase for the private college and university tuition and fees from 2000 to 2005. Enter your answer inside the box below and round the answer to the nearest whole number.
Calculate the percentage of increase for the private college and university tuition and fees from1995 to 2005. Enter your answer inside the box below and round the answer to the nearest whole number.
Which college and university tuition and fees has higher percent of the increase from 1995 to 2005? private or public
Step 2
Calculate the percentage of increase for the federal assistance from1995 to 1999. Enter your answer inside the box below and round the answer to the nearest whole number.
Calculate the percentage of increase for the federal assistance from 2000 to 2005. Enter your answer inside the box below and round the answer to the nearest whole number.
Calculate the percentage of increase for the federal assistance from1995 to 2005. Enter your answer inside the box below and round the answer to the nearest whole number.
For what years did the federal assistance percentage of increase lag behind the tuition increase? 1995 to 1999, 2000 to 2005, or 1995 to 2005
For what years did the federal assistance percentage of increase equal or exceed the tuition increase? 1995 to 1999, 2000 to 2005, or 1995 to 2005
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