Question

In an experiment related to "fast starts" — the acceleration and speed of a hockey player from a stopped position — sixty-eight hockey players, varsity and intramural, from a local university were required to move as rapidly as possible from a stopped position to cover a distance of 6 meters. The means and standard deviations of some of the variables recorded for each of the 68 skaters are shown in the table.

Mean | SD | |
---|---|---|

Weight (kilograms) | 74.270 | 9.370 |

Stride Length (meters) | 0.910 | 0.235 |

Stride Rate (strides/second) | 3.210 | 0.370 |

Average Acceleration (meters/second^{2}) |
2.862 | 0.579 |

Instantaneous Velocity (meters/second) | 5.653 | 0.942 |

Time to Skate (seconds) | 1.753 | 0.031 |

(a)

Give the formula that you would use to construct a 98%
confidence interval for one of the population means (for example,
mean stride length).

Construct a 98% confidence interval for the mean **stride
length**. (Round your answer to three decimal places.)

(c)

Interpret this interval.

We are 98% confident that the population mean stride length is directly in the middle of these two values.

There is a 98% probability that the population mean stride length is within the interval.

There is a 98% probability that the mean stride length for the sample is within the interval.

We are 98% confident that the population mean stride length is within the interval.

We are 98% confident that the mean stride length for the sample is within the interval.

Answer #1

For, Stride length

Mean = 0.910, SD = 0.235, n = 68, = 0.02

a)

**98% Confidence interval:**

b)

**Critical value:**

Z /2 = Z0.02/2 = 2.33 ...................Using standard Normal table

**98% Confidence interval:**

C)

**ANSWER: C**

**We are 98% confident that the population mean stride
length is within the interval.**

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