likely to select a sample of 26 women with a mean height less than 64 8 inches?
ID: 3266355 • Letter: L
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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