Find the sample standard deviation.2, 2, 2, 5, 8, 8, 8

Find the sample standard deviation.11, 11, 11, 14, 17, 17, 17

Provide an appropriate response.A physical fitness association is including the mile run in its hight school fitness test. The time for this event is known to possess a normal distribution with a mean of 450 seconds and a standard deviation of 60 seconds. The fitness association wants to recognize students whose times are among the top (or fastest) 10% with certificates of recognition. What time would a student need to beat in order to earn a certificate of recognition from the fitness association?

Provide an appropriate response.Giselle bakes six pies a day that cost $2 each to produce. On 15% of the days she sells only two pies. On 30% of the days, she sells 4 pies, and on the remaining 55% of the days, she sells all six pies. If Giselle sells her pies for $6 each, what is her expected profit for a day’s worth of pies?

Provide an appropriate response.Approximately ____% of the area under the normal curve is between .

Provide an appropriate response. Express your answer as a simplified fraction unless otherwise noted.There are 26 chocolates in a box, all identically shaped. There 3 are filled with nuts, 13 with caramel, and 10 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of selecting 2 nut candies.

Provide an appropriate response.A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 10 members and any member can be elected to each position? No person can hold more than one office.

Provide an appropriate response.Many firms use on-the-job training to teach their employees new software. Suppose you work in the personnel department of a firm that just finished training a group of its employees in new software, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 76 and 3, respectively, and the distribution of scores is mound-shaped and symmetric. Suppose the trainee in question received a score of 69. Compute the trainee’s z-score.

Find the population mean or sample mean as indicated.Population: 6, 8, 2, 11, 13, 26

Provide an appropriate response.Giselle bakes six pies a day that cost $2 each to produce. On 29% of the days she sells only two pies. On 16% of the days, she sells 4 pies, and on the remaining 55% of the days, she sells all six pies. If Giselle sells her pies for $6 each, what is her expected profit for a day’s worth of pies?