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# Hypothesis

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A nectarine-packing firm claims that the nectarines they ship have a mean weight of 5.22 ounces. A test on n = 10 randomly selected nectarines, gave the following results, in ounces:

5.94 5.15 5.73 6.31 5.63 5.04 5.10 5.03 5.13 5.21

Do the data indicated that the actual mean weight is less than the mean weight claimed by the packing firm?
(assume the weights are normally distributed).

What would the outcome be in the hypothesis form.

##### Solution Summary

A nectarine-packing firm claims that the nectarines they ship have a mean weight of 5.22 ounces. A test on n = 10 randomly selected nectarines, gave the following results, in ounces:

5.94 5.15 5.73 6.31 5.63 5.04 5.10 5.03 5.13 5.21

Do the data indicated that the actual mean weight is less than the mean weight claimed by the packing firm?
(assume the weights are normally distributed).

What would the outcome be in the hypothesis form.

##### Solution Preview

We can use a t-test to do this.
<br>Ho: M=5.22
<br>H1: M<5.22
<br>We calculate the average sample weight to be X=5.427 (refer to the ...

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