The population mean and standard deviation are given below Find the required pro

Question

The population mean and standard deviation are given below Find the required probability and determine whether the given sample mean would be considered unusual For a sample of n-62. find the probability of a sample mean being less than 20 18p:20 ando»123 Click the icon to view page 1 of the standard normal table Click the icon to view page 2 of the standard nomal table For a sample of n 62 the probability of a sample mean being less than 20 1 H p 20 and o 123 is Round to four decimal places as needed Would the given sample mean be considered unusual The sample mean I be considered unsual because it has a probability that is than 5% would would not

Explanation / Answer

A)

We first get the z score for the critical value. As z = (x - u) sqrt(n) / s, then as          
          
x = critical value =    20      
u = mean =    20      
n = sample size =    62      
s = standard deviation =    1.23      
          
Thus,          
          
z = (x - u) * sqrt(n) / s =    0      
          
Thus, using a table/technology, the left tailed area of this is          
          
P(z <   0   ) =    0.5 [ANSWER]

***************************

The sample mean WOULD NOT be considered unusual because the probability is GREATER than 5%. [ANSWER]

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.