1.Determine thet-value in each of the cases.

(a) Find thet-value such that the area in the right tail is 0.01 with 17 degrees of freedom._____

(Round to three decimal places asneeded.)

(b) Find thet-value such that the area in the right tail is 0.02 with 21 degrees of freedom._____

(Round to three decimal places asneeded.)

(c) Find thet-value such that the area left of thet-value is 0.05 with 14 degrees of freedom.______[Hint: Usesymmetry.]

(Round to three decimal places asneeded.)

(d) Find the criticalt-value that corresponds to 50% confidence. Assume 28 degrees of freedom._____

(Round to three decimal places asneeded.)

2.Let the sample space be S={1,2,3,4,5,6,7,8}. Suppose the outcomes are equally likely. Compute the probability of the event E="an odd number."

P(E)=______

(an integer or a decimal. Do notround.)

3.An insurance company crashed four cars in succession at 5 miles per hour. The cost of repair for each of the four crashes was $426, $451, $420, $231. Compute therange, samplevariance, and sample standard deviation cost of repair.

The range is $_____

s2=______dollars2

(Round to the nearest whole number asneeded.)

s=$____

(Round to two decimal places asneeded.)

4.Players in sports are said to have"hot streaks" and"cold streaks." Forexample, a batter in baseball might be considered to be in aslump, or coldstreak, if that player has made 10 outs in 10 consecutiveat-bats. Suppose that a hitter successfully reaches base 24% of the time he comes to the plate. Complete parts(a) through(c) below.

(a) Find the probability that the hitter makes 10 outs in 10 consecutiveat-bats, assumingat-bats are independent events.Hint: The hitter makes an out 76% of the time.

P(hitter makes 10 consecutive outs)=_____(Round to five decimal places asneeded.)

b)Interpret the probability from part(a).

In repeated sets of 10 consecutiveat-bats, the hitter is expected to make an out in all 10at-bats about _____ times out of 1000.

(a wholenumber.)

5.A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.92 hours, with a standard deviation of 2.42 hours. A random sample of 40 adults with children under the age of 18 results in a mean daily leisure time of 4.16 hours, with a standard deviation of 1.83 hours. Construct and interpret a 95% confidence interval for the mean difference in leisure time between adults with no children and adults with children 12.

Let 1 represent the mean leisure hours of adults with no children under the age of 18 and 2 represent the mean leisure hours of adults with children under the age of 18.

The 95% confidence interval for 12 is the range from ____hours to ____hours.

(Round to two decimal places asneeded.)

6.Exclude leap years from the following calculations.

(a) The probability that a randomly selected person does not have a birthday on March 12 is _____

.

(an integer or a decimal rounded to three decimal places asneeded.)

(b) The probability that a randomly selected person does not have a birthday on the 3rd day of a month is ____

.

(an integer or a decimal rounded to three decimal places asneeded.)

(c) The probability that a randomly selected person does not have a birthday on the 30th day of a month is ____

.

(an integer or a decimal rounded to three decimal places asneeded.)

(d) The probability that a randomly selected person was not born in February is _____

.

(an integer or a decimal rounded to three decimal places asneeded.)