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9-10. Given that the distribution of young women's height where the mean is 52.5 in. and a standard deviation of 6.25 in., describe the mean and standard deviation if you randomly select 10 women as your sample. Solution: 9. solving for mean ux: 10. solving for standard deviation ox: 11-12. With the same distribution of young women's height where the mean is 52.5 in. and a standard deviation of 6.25 in., what will be your new sample mean and standard deviation for a sample size of 100? Solution: 11. solving for mean Ax: 12. solving for standard deviation ox: 13-14. Given p = -10, o = 5, n=500, find ux and & 2 x Solution: 13. solving for mean ux: 14. solving for variance o= X. 15-17. An electrical company claims that an average life of bulbs it manufacturers is 1200 hours with a standard deviation of 250 hours. If a random sample of 100 bulbs is chosen, what is the probability of the sample will be : 15. Greater than 1150 hours? 16. Less than 1250 hours? 17. Betwee1150 and 1250 hours18-20. A random sample of 60 Grade 11 students' ages is obtained to estimate the mean ages of all Grade 11 students. Suppose the sample mean is 17.3 and the population variance is 18. 18. What is the point estimate of the population parameter? 19. Find the 95% confidence interval for the population parameter? 20. Find the 99% confidence interval for the population parameter? 21-22. In a survey of 300 random households in a particular village, mothers have been asked if they use cellphones to communicate. There are 76 who said YES. Use a 95% confidence to estimate the proportion of all mothers who use the cellphone to communicate. n= 300 X= 76 23-25. The following are the heights of four students in centimeters. Suppose samples of size 2 are taken from this population of four students. STUDENTS HEIGHT (cm) Renejay 125 a. Compute the mean of the population. Sam 120 b. Compute the mean of the sampling distribution of the sample means. Camille 130 Jayzam 110