Can someone please help me get the answers to all of the blank questions? 6. Thr

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Can someone please help me get the answers to all of the blank questions?

6. Three different distributions Aa Aa There are 431 full-service restaurants in Alaska. The mean number of seats per restaurant is 77.9. [Source: Data based on the 2002 Economic Census from U.S. Census Bureau. Suppose that the true population mean H 77.9 and standard deviation o 20.5 are unknown to the Alaska tourism board. They select a simple random sample of 50 full-service restaurants located within the state to estimate u. The mean number of seats per restaurant in the sample is M 3 82.1, with a sample standard deviation of s 18.6 The standard deviation of the distribution of sample means (that is, the standard error, oM) is 2.90 (Note: Although H and o are unknown to the Alaska tourism board, they are known to you for the purposes of calculating these answers.) The standard or typical average difference between the mean number of seats in the 431 full-service restaurants in Alaska (u 77.9) and one randomly selected full-service restaurant in Alaska is The standard or typical average difference between the mean number of seats in the sample of 50 restaurants (M 82.1) and one randomly selected restaurant in that sample is The standard or typical average difference between the mean number of seats in the 431 full-service restaurants in Alaska (u 77.9) and the sample mean of any sample of size 50 is The z-score that locates the mean number of seats in the Alaska tourism board's sample (M 82.1) in the distribution of sample means is Use the unit normal tables and accompanying figures to answer the question that follows. To use the tables, click on the Unit Normal Tables tab below the figures, and use the dropdown box to select the desired range of z-score values. A table of the proportions of the normal distribution corresponding to that range of z-scores will appear. If you need a different range of z-scores, simply click on the box again and select a new range Suggestion: Make a sketch of the area under the normal distribution you are seeking. This sketch will help you determine which column(s) of the normal table to use in determining the appropriate probability. D: Between 0 and z Body B Tail C

Explanation / Answer

Ans:standard error=18.6/sqrt(50)=2.9

i)The standard or typical average difference between the average number of seats in the 431 full service retaurant in alska(77.9) and one randomly selected full service restuarant in alaska (0-77.9)/20.5

ii)(x-82.1)/18.6

iii)(82.1-77.9)/2.9

z score=1.448

P(M>82.1)

z=82.1-77.9/2.9=1.448

P(z>1.448)=0.0738

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