The Bodine Corporation runs the landfill operation outside L

The Bodine Corporation runs the landfill operation outside Little Rock, Arkansas. Each day, each of the company’s trucks makes several trips from the city to the landfill. On each entry, the truck is weighed. The data contains a sample of 200 truck weights. Assuming these sample weights are representative of the population of all Bodine garbage trucks, and further assuming that the distribution is normally distributed:

a) Determine the probability a truck will arrive at the landfill weighing in excess of 46,500 pounds.

b) Compare that probability to the proportion of trucks in the sample that weighed over 46,500 pounds. What does that imply to you?

c) Suppose managers are concerned that trucks are returning before they are fully loaded. If management has set a minimum weight at 38,000 before a truck returns to the landfill, what is the probability a truck will fail to meet the minimum standard?

40,859	37,145	42,928	46,851	46,554	48,586	33,702	41,110	46,161	37,871
39,377	35,576	34,982	38,285	39,061	33,952	39,842	40,465	42,512	40,611
40,757	40,593	47,102	41,676	41,293	40,050	49,494	45,290	51,027	39,511
48,314	35,873	44,048	45,428	49,292	41,679	40,010	44,566	40,551	44,879
36,512	38,780	36,218	40,621	41,877	42,107	40,774	50,339	35,379	39,201
32,205	47,501	37,137	39,516	44,879	43,774	45,324	44,264	36,787	37,760
44,637	43,226	38,429	41,084	42,500	44,120	42,527	38,538	49,162	43,851
42,275	45,153	45,276	39,581	38,492	46,223	37,436	36,076	44,703	44,426
50,382	47,486	46,955	42,429	42,007	43,724	41,903	37,992	35,256	45,148
43,688	44,348	42,811	38,098	46,705	40,817	38,808	38,880	40,370	40,277
40,010	45,228	43,950	39,688	46,959	35,308	44,092	41,558	42,159	39,515
39,912	45,227	45,052	43,734	44,627	48,196	43,155	44,238	49,041	40,725
45,945	42,545	46,336	41,436	39,037	46,089	39,789	44,029	44,074	40,798
40,325	36,809	49,573	39,847	42,327	41,110	52,774	46,758	45,347	47,062
42,714	44,059	41,051	37,360	46,813	40,902	37,038	44,904	44,980	43,627
43,535	39,537	44,748	43,996	46,085	31,476	43,762	47,575	35,454	42,173
47,145	48,415	42,907	42,551	49,047	41,838	39,504	45,448	41,962	45,949
43,652	47,523	41,539	38,345	36,153	32,253	42,392	43,137	41,932	42,762
42,981	47,609	42,324	37,756	36,718	42,728	45,614	36,267	39,682	43,989
41,176	40,694	41,379	40,329	38,950	44,450	42,224	46,801	42,996	42,217

The Bodine Corporation runs the landfill operation outside Little Rock, Arkansas. Each day, each of the company’s trucks makes several trips from the city to th

The Bodine Corporation runs the landfill operation outside L

Solution

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