1- Listed below is a list of how long it takes for bands on stage to complete their first song (in seconds).What is the standard deviation in the time it takes for bands on stage to complete their first song (in seconds)?Round your answer to two decimal places.2-Listed below is a list of how long it takes for bands on stage to complete their first song (in seconds).Suppose a new band joins this group and performs for 4 minutes. Would this new bandbe considered unusual? Please explain.3-Seventeen people are randomly chosen from people in the U.S. and askedDo you have brown eyes?Does this procedure result in a binomial distribution?Explain carefully.4- In the United States, 40% of the population have brown eyes.If 17 people are randomly selected,find the probability that exactly 4 of them will have brown eyes.Your answer should be rounded to four decimal places.5- Use Table A-2 to find P( 0.63 < z < 2.01 ).Write your answer as a decimal with 4 decimal places.6- The ages of all kindergarten children are normally distributed withmean 4 years and standard deviation 6 months.What is the probability that a randomly chosen kindergarten childwill be older than 5 years, 4 months old?Use Table A-2 and write your answer as a decimal with 4 decimal places.7- The following table contains data for 6 baseball teams.The numbers in the row labeled x are the number of hours spent in the batting cages each week.The numbers in the row labeled y are the number of wins produced for that year.What is the value of the correlation coefficient r for this data? (The last two columns are empty .. do not count them.)Round your answer to two decimal places.8- The following table contains data for 6 baseball teams.Is there a correlation between the number of hours spent in the batting cagesand the number of wins produced?Explain carefully. Use Table A-5.9- A survey of 61,647 people included questions about office relationships.Of the respondents, 26% reported that their bosses scream at employees.Suppose you want to test the claim that more than 1/4 of people say their bosses scream at employees.Write the claim in symbols.a. p 0.25b. p > 0.25c. p = 0.25d. p < 0.2510- A survey of 61,647 people included questions about office relationships.Of the respondents, 26% reported that their bosses scream at employees.Suppose you want to test the claim that more than 1/4 of people say their bosses scream at employees.What is the null hypothesis?a.p< 0.25b. p > 0.25c. p = 0.25d. p 0.2511- A survey of 61,647 people included questions about office relationships.Of the respondents, 26% reported that their bosses scream at employees.Suppose you want to test the claim that more than 1/4 of people say their bosses scream at employees.What is the alternative hypothesis?a. p < 0.25b. p > 0.25c. p = 0.25d. p 0.2512- A survey of 61,647 people included questions about office relationships.Of the respondents, 26% reported that their bosses scream at employees.Suppose you want to test the claim thatmore than 1/4 of people say their bosses scream at employees.What kind of hypothesis test would you use?a. left-tailedb. two-tailedc. no tailedd. right-tailed13- A survey of 61,647 people included questions about office relationships.Of the respondents, 26% reported that their bosses scream at employees.Suppose you want to test the claim thatmore than 1/4 of people say their bosses scream at employees.Calculate the test statistic and round it to two decimal places.14- A survey of 61,647 people included questions about office relationships.Of the respondents, 26% reported that their bosses scream at employees.Suppose you want to test the claim thatmore than 1/4 of people say their bosses scream at employees.If you use a 0.05 significance level, what is the critical value?a. -1.96b. 1.645c. 1.96d. -1.64515- A survey of 61,647 people included questions about office relationships.Of the respondents, 26% reported that their bosses scream at employees.Suppose you want to test the claim thatmore than 1/4 of people say their bosses scream at employees.If you use a 0.05 significance level,which of the following is the conclusion of your hypothesis test?a. fail to reject the alternative hypothesisb. fail to reject the null hypothesisc. reject the null hypothesisd. accept the null hypothesis16- A survey of 61,647 people included questions about office relationships.Of the respondents, 26% reported that their bosses scream at employees.Suppose you want to test the claim thatmore than 1/4 of people say their bosses scream at employees.If you use a 0.05 significance level,which of the following is the conclusion of your hypothesis test?a. There is not sufficient evidence to warrant rejection of the claim that more than 1/4 of people say that bosses scream at employees.b. There is not sufficient sample evidence to support the claim that more than 1/4 of people say that bosses scream at employees.c. There is sufficient evidence to warrant rejection of the claim that more than 1/4 of people say that bosses scream at employees.d. The sample data support the claim that more than 1/4 of people say that bosses scream at employees.