Problem #2: A supervisor has identified that a production line has increased the

Problem #2: A supervisor has identified that a production line has increased the variance. He does not
15pts know if the change is significant. With a 5% of Type One error can you determine if the
production line variance is higher than 20 pcs/min?
Samples
1345
1240
1300
1290
1110 Problem #3: The univerisity understands that 95% of the students have from 18 to 36 years for an
10pts average of 27 years. Can you determine the sample size n to confirm that 95% are
within that range using a variance or 400 years? Problem #4: There are two pitchers per team. We want to know if Santana is more consistant
15pts than Martinez with a 90% of confidence? The more consistant will play for the
Mets. (Note: More consistance means less variance)
Santana Martinez
92 90 miles/hr
91 91 miles/hr
90 90 miles/hr
92 91 miles/hr
93 92 miles/hr Problem #5: The doctor established that you need one bite from vampire to be infected. In France
15pts the survey shows that there are three vampires per every 200 square meters. What is
probability of been biten by a vampire in a street of 100 square meters? Problem #6: We want to know if the amount of ingredient A affects the production. With an alpha
30pts of 5% determine the lineal function the correlation coefficient and the ANOVA. Ing Act. Production
120 2000
150 1500
130 1800
140 1900 Problem 7 Verfique si la siguiente frecuencia sigue una distribucion Binomial con un probabilidad de exito es-
20pts timada una muestra de 50 y con solo tres intentos.alpha = 10% X Obs
0 20
1 15
2 10
3 5 Problem 8 1.Select two variables (Example: Temp Age etc)
2.For each variable provide 15 samples.
3.For each variable determine the mean sample Std. Dev and Variation Coefficient. Please tell which is more accurate.
4. Find for each variable the Median Mode 1Quartile and 40 Percentile.
5. Develop a Histogram of Frequency for each variable with 3 intervals.Determine the probability for each interval.
6. Develop a Box diagram for each variable.
7. With a 95% of Confidence Level determine if the variance on one variable is higher than the other.