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Posted on Jul 05, 2024

Create your/Imagine you've just started a small business, and you just launched your social media page for your business. You're curious about how many likes

Create your/Imagine you've just started a small business, and you just launched your social media page for your business. You're curious about how many "likes" other similar new small businesses get on their posts, so you collect data from 19 similar new businesses on the number of likes they received on their most recent post and you found the following answers:

Likes Received on Similar Pages
365
365
380
380
390
390
400
400
400
400
400
400
400
410
410
420
420
450
450

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Question 1 1 pts

Construct a line plot of the data. Use number of likes received as your x axis and frequency (number of businesses with each value) as your Y axis. Create your line plot and then upload it here (if you create it on your computer, save and upload the file; if you create it with pen and paper, take a photo and upload that). If you are using an iPhone you will need to convert the picture to a .jpeg format, we will NOT be able to read images submitted in the .HEIC format.

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Question 2 1 pts

Calculate the mean for the dataset (above). Round your answer to two decimal places.

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I'm going to help you out a little bit here, and I'm going to give you the standard deviation for this dataset:

s = 22.86

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Question 3 0.5 pts

How many businesses are above the mean in this dataset?

Group of answer choices

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Question 4 0.5 pts

How many are below the mean?

Group of answer choices

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Question 5 1 pts

Calculate the z score for the business that received 365 likes. Round your answer to three decimal places.

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Question 6 0.5 pts

Calculate the z score for the businesses that received 380 likes. Round your answer to three decimal places.

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Question 7 0.5 pts

Calculate the z score for the business that received 390 likes. Round your answer to three decimal places.

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Question 8 0.5 pts

Calculate the z score for the businesses that received 400 likes. Round your answer to three decimal places.

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Question 9 0.5 pts

Calculate the z score for the businesses that received 450 likes. Round your answer to three decimal places.

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Question 10 2 pts

On your first post you received 395 likes. You want to know what percentage of the new business population gets more likes than you (that is, what percentage of the population gets 395 likes or more (Hint: use the z table in the appendix of your textbook to answer this question). Note, you are examining what percentage of the total population has more likes, NOT just this sample, so you need to use the table to answer this question! Show your work on this. To get full credit, you must demonstrate all calculations, values you used from the appendix, and steps you took to get your answer (that is, your answer must include the z score, the area under the curve that you found in the appendix, and how you came to your final answer).