Answer: d. 1068
Step-by-step explanation:
Let p be the proportion of adults believe that global warming is a liberal hoax designed to hurt oil companies.
Given : You plan to take a survey of n adults to "estimate" this proportion. You want to be able to say that your estimate is within three percentage points (i.e., within 0.03) of the true proportion, with 0.95 probability.
Margin of error : E= 0.03
We know that the z-value for 95% confidence = 
Since the prior proportion of adults believe that global warming is a liberal hoax designed to hurt oil companies.
We assume p = 0.5
Then by Central Limit Theorem , the required sample size would be :
Simply , we get
[Rounded to the next whole number.]
Hence, the smallest sample size that guarantees that you would obtain a satisfactory estimate =1068
Answer:
The probability that a jar contains more than 466 g is 0.119.
Step-by-step explanation:
We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.
Let X = <u><em>Amount of peanut butter in a jar</em></u>
The z-score probability distribution for the normal distribution is given by;
Z = 
~ N(0,1)
where, 
= population mean = 454 g
= standard deviation = 10.2 g
So, X ~ Normal(
)
Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)
P(X > 466 g) = P( > 
) = P(Z > 1.18) = 1 - P(Z 
1.18)
= 1 - 0.881 = <u>0.119</u>
The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.
Answer:
Maximum number of people is 35
Step-by-step explanation:
With a total of $160 you have to pay for the bus and all the people. The bus cost $90 so you subtract that from the 160 because you bought (or rented) the bus. Then you have $70 left to pay for everyone's tickets. If each ticket is $2 then you can buy 35 tickets in total because 70 divided by 2 = 35.
X =9 had the samw question on sat
