According to a local newspaper, students at a local university usually take 4.5 years to graduate. A student at that university believes that the actual number of years required to graduate should be less than the newspaper's assertion. A survey of 25 students was conducted by the student, yielding a sample mean of 4 years with a standard deviation of 0.75 years. Is there enough evidence in the data to back up the student's claim? Assume that the level of significance is 5%. a) State what u is in words and determine the Ho and Ha. b) Find the t-test statistic and P-value (tail probability). i) Draw a density curve for x and a t density curve. c) Fill in the blanks: Since P-value is < or >? 0.05, we reject or do not reject Ho?. We have enough or not enough? evidence to conclude that (state Ha in words) at 5%.

Q: 4. Evaluate the following limit. Vr3 +9 2x2 -5x +3 if x 3,

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Q: 6) Find f'(-2) for each of the following functions.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.