Question

how do Ifind the sample mean or sx for the problem below?

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.

A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in hic (standard head injury condition units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a

0.05

significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified requirement?

701

1186

555

505

440

Answer #1

The sample mean for standard head injury condition is obtained using the formula,

The sample standard deviation is obtained using the formula,

From the data values,

701 | 677.4 | 23.6 | 556.96 |

1186 | 677.4 | 508.6 | 258673.96 |

555 | 677.4 | -122.4 | 14981.76 |

505 | 677.4 | -172.4 | 29721.76 |

440 | 677.4 | -237.4 | 56358.76 |

Sum | 360293.2 |

Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. Identify
the null and alternative hypotheses, test statistic, P-value, and
state the final conclusion that addresses the original claim. A
safety administration conducted crash tests of child booster seats
for cars. Listed below are results from those tests, with the
measurements given in hic (standard head injury condition units).
The safety requirement is that the hic measurement should be less
than...

Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. Identify
the null and alternative hypotheses, test statistic, P-value, and
state the final conclusion that addresses the original claim. A
safety administration conducted crash tests of child booster seats
for cars. Listed below are results from those tests, with the
measurements given in hic (standard head injury condition units).
The safety requirement is that the hic measurement should be less
than...

Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. Identify
the null and alternative hypotheses, test statistic, P-value, and
state the final conclusion that addresses the original claim. A
safety administration conducted crash tests of child booster seats
for cars. Listed below are results from those tests, with the
measurements given in hic (standard head injury condition units).
The safety requirement is that the hic measurement should be less
than...

safety administration conducted crash tests of child booster
seats for cars. Listed below are results from those tests, with the
measurements given in hic (standard head injury condition units).
The safety requirements is that the hic measurements should be less
than 1000 hic. Use a 0.05 significance level to test the claim that
the sample is from a population with a mean less than 1000 hic. Do
the results suggest that all of the child booster seats meet the
specified...

A group of students estimated the length of one minute without
reference to a watch or clock, and the times (seconds) are listed
below. Use a 0.10 significance level to test the claim that these
times are from a population with a mean equal to 60 seconds. Does
it appear that students are reasonably good at estimating one
minute?
81
91
49
74
48
34
68
70
77
54
71
82
104
99
76
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