Problems In Statistics

[kuki]

I NEEEEEEEEEEEED HELLLLPPPP :36_1_4:


Question 1ffice:office" /><O:p></O:p>
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In determining when to place orders to replenish depleted product inventories, a retailer should take into consideration the lead times for the products. Lead time is the time between placing the order and having the product available to satisfy customer demand. It includes time for placing the order, receiving the shipment from the supplier, inspecting the units received and placing them in inventory (Clauss, Applied Management Science and Spreadsheet Modelling, 1996). Interested in the average lead time, µ, for a particular supplier of men’s clothing, the purchasing department of a national department store chain randomly supplied 50 of the supplier’s lead times and found file:///C:/Users/kuki/AppData/Local/Temp/msohtml1/01/clip_image002.gif= 44days. <O:p></O:p>
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Describe the shape of the sampling distribution of file:///C:/Users/kuki/AppData/Local/Temp/msohtml1/01/clip_image002.gif. <O:p></O:p>
If µ and σ are really 40 and 12 respectively, what is the probability that a second random sample of size 50 would yield file:///C:/Users/kuki/AppData/Local/Temp/msohtml1/01/clip_image002.gifgreater than or equal to 44?<O:p></O:p>
Using the values for μ and σ in part b above, what is the probability that a sample of size 50 would yield a sample mean within the interval μ ± 2σ/file:///C:/Users/kuki/AppData/Local/Temp/msohtml1/01/clip_image004.gif?<O:p></O:p><O:p></O:p>
Question 2<O:p></O:p>
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A stationery supply store receives a shipment of a certain brand of inexpensive ball-point pens from a manufacturer. The owner of the store wishes to estimate the proportion of pens that are defective. A random sample of 300 pens is tested, and 30 are found to be defective. <O:p></O:p>
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Set up a 90% confidence interval for the population proportion of defective pens in the shipment.<O:p></O:p>
The shipment can be returned if it is more than 5% defective; on the basis of the sample results, can the owner return this shipment?<O:p></O:p>
Suppose that a 99% confidence interval estimate was desired in (a) above. What would be the effect of this change on your answers to (a) and (b) above?<O:p></O:p>

[kuki]

Question 1<?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" /><o:p></o:p>
<o:p> </o:p>
In determining when to place orders to replenish depleted product inventories, a retailer should take into consideration the lead times for the products. Lead time is the time between placing the order and having the product available to satisfy customer demand. It includes time for placing the order, receiving the shipment from the supplier, inspecting the units received and placing them in inventory (Clauss, Applied Management Science and Spreadsheet Modelling, 1996). Interested in the average lead time, µ, for a particular supplier of men’s clothing, the purchasing department of a national department store chain randomly supplied 50 of the supplier’s lead times and found file:///C:/Users/kuki/AppData/Local/Temp/msohtml1/01/clip_image002.gif= 44days. <o:p></o:p>
<o:p> </o:p>

Describe the shape of the sampling distribution of file:///C:/Users/kuki/AppData/Local/Temp/msohtml1/01/clip_image002.gif. <o:p></o:p>
If µ and σ are really 40 and 12 respectively, what is the probability that a second random sample of size 50 would yield file:///C:/Users/kuki/AppData/Local/Temp/msohtml1/01/clip_image002.gifgreater than or equal to 44?<o:p></o:p>
Using the values for μ and σ in part b above, what is the probability that a sample of size 50 would yield a sample mean within the interval μ ± 2σ/file:///C:/Users/kuki/AppData/Local/Temp/msohtml1/01/clip_image004.gif?<o:p></o:p><o:p> </o:p>