likely to select a sample of 26 women with a mean height less than 64 8 inches?

Question

likely to select a sample of 26 women with a mean height less than 64 8 inches? Explain cack the icon to view page 1 of the standard nornal table. EB Clck the icon to view page 2 of the standard normal table What is the probability of randomly selecting 1 woman with a height less than 64 8 inches? (Round to four decimal places as needed ) What is the probability of selecting a sample of 26 women with a mean height less than 64 8 inches? (Round to tour decimal paces as needed ) Are you more lkety to randomly select 1 woman with a height less than 64 8 inches or are you more answer below A. It is more likely to select a sample of 26 women with a mean neight less than 64 8 inches because the sample of 26 has a lower probabilry he sample of 26 has a higher probabiny B. its more ikety to select a sample of 26 women with mean height es run S4 B nches because he sampe or as has a O c. It is more ikely to select 1 woman with a height less than 64.8 inches because the y is higher Click to select your answer(s)

Explanation / Answer

Given data:

mean = 63.6

SD, s = 2.7

For X = 64.8, the z-score is:

z = (64.8-63.6)/2.7 = 0.44

The corresponding p-value is 0.67

So, the probability of selecting 1 woman randomly of height less than 64.8 inches is 0.67

Next,

sample size, n = 26

Calculating z-score in this case:

z = (64.8-63.6)/(2.7/260.5) = 2.26

The corresponding p-value is 0.98

So the probability of selecting a sample of 26 women with mean height less than 64.8 inches is 0.98

Thus it is more likely to select a sample of women as compared to a single woman.

Hope this helps !

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