Question

A new design for the braking system for a car has been proposed. For the current braking system, the true | ||||||||||

average
braking distance at 40 mph under specified condition is known to be
120 ft. |
||||||||||

It is
proposed that the new braking system design will not be
implemented if evidence from sample data
indicates |
||||||||||

that the braking distance is
HIGHER (compared to the current system). |

Let µ denote the true average braking distance. | ||||||

State an appropriate hypothesis test that would be useful in determining | ||||||

whether to implement the new braking system. |

Test your hypothesis in part (a) using Type I error α = 0.03 | ||||||

Consider that sample size n= 35, and X-bar = 122.5, and known std dev σ = 11. |

What is the p-value in your hypothesis test in
part (b)? |

Answer #1

There is no idea given about part a or b. I used as per information given, Type 1 error=0.03

to solve the sums. For any querry do ask in comment box.

A new design for the braking system on a certain type of car has
been proposed. For the current system, the true average braking
distance at 40 mph under specified conditions is known to be 120
ft. It is proposed that the new design be implemented only if
sample data strongly indicates a reduction in true average braking
distance for the new design.
(b) Suppose braking distance for the new system is normally
distributed with σ = 11. Let X...

A new design for the braking system on a certain type of car has
been proposed. For the current system, the true average braking
distance at 40 mph under specified conditions is known to be 120
ft. It is proposed that the new design be implemented only if
sample data strongly indicates a reduction in true average braking
distance for the new design.
Let μ = true average braking distance for the new design at 40
mph. The hypotheses are:...

1. A new design for the braking system for a car has been
proposed. For the current braking system, the true average braking
distance at 40 mph under specified condition is known to be 120
ft.
It is proposed that the new braking system design will not be
implemented if evidence from sample data indicates that the braking
distance is HIGHER (compared to the current system).
(a) Let µ denote the true average braking distance. State an
appropriate hypothesis test...

A new design for the braking system on a certain type of car has
been proposed. For the current system, the true average braking
distance at 40 mph under specified conditions is known to be 120
ft. It is proposed that the new design be implemented only if
sample data strongly indicates a reduction in true average braking
distance for the new design.
(b) Suppose braking distance for the new system is normally
distributed with σ = 11. Let
X...

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in m/s
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