A population consists of three restaurants and their menu items has been recorded in a file, Restaurants.xlsx, which can be downloaded from on Moodle in Assessment block.

a)What is the population distribution of the number of menu items?

b)What are the mean and standard deviation of the population distribution in a)?

c)If a random samplewith replacementof 2 restaurants is picked from the population, what is the sampling distribution of thesample meannumber of menu items?

d)If a random samplewithout replacementof 2 restaurants is picked from the population, what is the sampling distribution of thesample standard deviationfor the number of menu items?

e)What is the mean of the sampling distribution in d)?

f)Compare the mean of the population distribution obtained in b) and the mean of the sampling distribution in c).

DATA:

AutoSave OFF A b . CDE ... Restaurants Home Insert Draw Page Layout Formulas Data Review View Tell me Share Comments Calibri (Body) AA ab Wrap Text v General Insert v Delete Paste B A v Merge & Centre v v % " 508 Conditional Format Cell Sort & Find & Analyse Sensitivity Formatting as Table Styles Format Filter Select Data C3 X V fx Cold meat vietnamese roll A B C D E F G H H RESTAURANT 1 RESTAURANT 2 RESTAURANT 3 N Menu items Price ($) Menu items Price ($) Menu items Price ($) 3 Organic tofu poke 14 Cold meat vietnamese roll 7.5 Margherita pizza 16 4 Prawns poke 16 Grilled pork chop vietnamese roll 7.5 Beef delight pizza 18 5 Spicy ahi tuna 18 Griled chicken roll 7.5 Pepperoni pizza 18 6 Sashimi salmon poke 16 Chrispy roast pork roll 7.5 Chicken sausage pizz 14 V Spicy salmon 16 Chill lemongrass tofu roll 7.5 Chilly chicken pizza 14 8 Grilled chicken poke 14 Cheesy sausage pizza 18 9 Grilled steak poke 16 10 Grilled salmon bowl 16 11 12 13 14 15 16 17 18 19 Sheet1 + 218%