THe state test scores for 12 randomly selected high school seniors are shown on

Question

THe state test scores for 12 randomly selected high school seniors are shown on the right. Complete parts (a) through (c) below

Assume the population is normally distributed.

1429       1229              985

697        725                  839

728         740                547

630         1442             945

(a) FInd the sample mean (round to one decimal place as needed

Let p be the proportion for the gollowing condition. Find the point estimates for p and q.

In a survey of 1299 adults from country A, 349 said that they were not confident that the food they eat in country A is safe.

THe point estimate for p, P is (round to three decimal places as needed.

Use the given confidence interval to find the margin of error and the sample proportion.

(0.611, 0.641)

E = ----(type an integer or a decimal)

Explanation / Answer

A) FInd the sample mean (round to one decimal place as needed.)

Getting the mean, X,  
  
X = Sum(x) / n  
Summing the items, Sum(x) =    11676
As n =    13
Thus,  
X =    898.1538462 = 89.2 [ANSWER]

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Let p be the proportion for the gollowing condition. Find the point estimates for p and q.
In a survey of 1299 adults from country A, 349 said that they were not confident that the food they eat in country A is safe.

THe point estimate for p, P is (round to three decimal places as needed.

Here,

p = x / n = 349/1299 = 0.269 [ANSWER]

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

Use the given confidence interval to find the margin of error and the sample proportion.
(0.611, 0.641)

Here,

E = (upper-lower)/2 = (0.641-0.611)/2 = 0.015 [ANSWER]

Also,

sample proportion = p^ = (upper+lower/2) = (0.641+0.611)/2 = 0.626 [ANSWER]

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