A sample of sixteen is taken from a normal distribution, with the following ages:

7, 9, 12, 12, 18, 22, 35, 36, 42, 43, 44, 47, 55, 55, 60, 63

Use a t-distribution, to calculatea 99% confidence interval for the mean of the population.

Your answer be in an interval with two decimals.

[2_ . _ _ ,4_. _ _ ].

If you were to Calculate the 95 % confidence interval for following sample: 2, 5, 78, 45, 69, 100, 34, 486, 34, 36, 85, 37, 37, 84, 94, 100, 567, 436, 374, 373, 664, 45, 68, 35, 56, 67, 87,101, 356, 56, 31.What would be your t-value that you would use in calculating your Margin of Error, E?

A gymnastics instructor wants to know if his tumbrels group has a good grasp of the timing it takes to qualify for the Olympics. Six students are chosen at random from the class and given a tumbling floor test. The instructor wants the class to be able to score above 9.5 on the test. The six students get scores of 8.5, 7.0, 8.3, 10, 10, and 9.4.

A) Hypothesis in English,

B) Critical Value,

C) Test statistic and

D) Conclusion.

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Money Spent in Advertisement

(in Millions of Dollars)

Revenue in Movie Rentals

(in Millions of Dollars)

X

Y

Sony

203

4500

Warner Brothers

170

3600

Amazon

270

7500

Netflix

250

5600

Hulu

120

2670

Google

100

3000

What is the equation of the regression liney =?(x)-?be in this case?

Write a line equation witha, and b having 2 decimal spaces after each of the decimals.

In 2003,9.8%of NASA job applicants who were tested for Top Secret Clearance failed the test. At the 0.10 level of significance test the claim that thefailure rate is now lowerif a random sample of 1230 current job applicants results in 150 failures. ( A proportion)

State your:

A) Hypothesis in English,

B) Critical Value,

C) Test statistic and

D) Conclusion.