1.A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.05 in....

1.A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.05 in. (a) Determine the minimum sample size required to construct a 95% confidence interval for the population mean. Assume the population standard deviation is 0.20 in. (b) Repeat part (a) using a population standard deviation of 0.30 in. Which standard deviation requires a larger sample size? Explain.

2.A soccer ball manufacturer wants to estimate the mean circumference of mini-soccer balls within 0.05 inch. Assume the population of circumferences is normally distributed. (a) Determine the minimum sample size required to construct a 95% confidence interval for the population mean. Assume the population standard deviation is 0.30 inch. (b) Repeat part (a) using a population standard deviation of 0.40 inch. (c) Which standard deviation requires a larger sample size? Explain.

Expert Solution

milcah answered 1 year ago

A soccer ball manufacturer wants to estimate the mean circumference of mini-soccer balls within 0.05 inch....

A soccer ball manufacturer wants to estimate the mean circumference of mini-soccer balls within 0.05 inch. Assume the population of circumferences is normally distributed. (a) Determine the minimum sample size required to construct a 95% confidence interval for the population mean. Assume the population standard deviation is 0.25 inch. (b) Repeat part (a) using a population standard deviation of 0.35 inch. (c) Which standard deviation requires a larger sample size? Explain

Soccer regulations are that the ball be an air-filled sphere with a circumference of 68-70 cm,...

Soccer regulations are that the ball be an air-filled sphere with a circumference of 68-70 cm, and a mass of 410-450 g. The 2010 FIFA world cup “Jabulani” ball had a circumference of 69 cm and a mass of 440 g. This ball is also specified to have 0% water absorption. The ball is kicked into a deep puddle; what fraction of the volume of this ball floats above the surface of the water?

A manufacturer of AAA batteries wants to estimate the mean life expectancy of the batteries. A...

A manufacturer of AAA batteries wants to estimate the mean life expectancy of the batteries. A sample of 25 such batteries shows that the distribution of life expectancies is roughly normal with a mean of 44.25 hours and a standard deviation of 2.25 hours. Construct a 98% confidence interval for the mean life expectancy of all the AAA batteries made by this manufacturer

1.A soccer player kicks a soccer ball of mass 0.45 kg that is initially at rest....

1.A soccer player kicks a soccer ball of mass 0.45 kg that is initially at rest. The player's foot is in contact with the ball for 1.70 × 10-3 s, and the force of the kick is given by F(t) = [(6.56 × 105)t - (3.86 × 108)t2] N for 0≤t≤1.70×10-3s, where t is in seconds. Find the magnitudes of the following: (a) the impulse on the ball due to the kick, (b) the average force on the ball from...

Activity 1: How far can a soccer player kick a soccer ball down field? Through the...

Activity 1: How far can a soccer player kick a soccer ball down field? Through the application of a linear function and a quadratic function and ignoring wind and air resistance one can describe the path of a soccer ball. These functions depend on two elements that are within the control of the player: velocity of the kick (v k ) and angle of the kick (?). A skilled high school soccer player can kick a soccer ball at speeds...

two balls, ball 1 and ball 2are about collide heads on a frictionless linear track. Ball...

two balls, ball 1 and ball 2are about collide heads on a frictionless linear track. Ball 1 is traveling east with a speed 8m/s toward ball 2. Ball 2 has a speed of 4 m/s. If the mass of the ball 2 is 8 times the mass of ball 1 what is the speed of ball 2 after the collision? We asume that the collision id perfectly elastic

Now let's consider the impulse associated with kicking a soccer ball (Figure 1). The ball has...

Now let's consider the impulse associated with kicking a soccer ball (Figure 1). The ball has mass 0.40 kg . Initially it moves horizontally to the left at 20 m/s, but then it is kicked and given a velocity with magnitude 30 m/s and direction φ=45∘ upward and to the right. Find the impulse of the force and the average force on the ball, assuming a collision time Δt=0.010s. angle: 27 Part A:Suppose the ball is moving at 30 ∘...

1) A 0.490 kg soccer ball is kicked and hits a 2.45 kg stationary tether ball...

1) A 0.490 kg soccer ball is kicked and hits a 2.45 kg stationary tether ball hanging from a 1.49 m tether resulting in a perfectly elastic collision. If the tether ball swings out at a maximum angle of 45.4°, what was the soccer ball's velocity before the collision? 2) A 5.27 g pellet is shot horizontally from a BB gun at a speed of 15.2 m/s into a 21.1 g wooden block. The wooden block is attached to a...

An urn contains 7 black balls, 4 red balls, 3 white balls and 1 blue ball,...

An urn contains 7 black balls, 4 red balls, 3 white balls and 1 blue ball, and a player is to draw one ball. If it is black, he wins $1, if it is red, he wins $2, if it is white he wins $3 and if it is blue, he pay $25. a. Set up the empirical probability distribution for the random variable X, the payoff of the game. Game Payoff (X) Probability [P(X) $1 $2 $3 $4 b....

1. Linear programming. Clever Sporting Equipment, Inc. makes two types of balls: soccer balls and cork...

1. Linear programming. Clever Sporting Equipment, Inc. makes two types of balls: soccer balls and cork balls. The making of each soccer ball and cork ball requires 2 hours and 4 hours of production time, respectively. For the next month, total production hours of 800 are available. Also, the combined production quantity for these two balls must be at least 300 units in the coming month. Maximum monthly demand for soccer balls is known to be 350 balls. The objective...

Question