Answer:
Step-by-step explanation:
For the null hypothesis,
H0 : p = 0.63
For the alternative hypothesis,
Ha : p < 0.63
This is a left tailed test
Considering the population proportion, probability of success, p = 0.63
q = probability of failure = 1 - p
q = 1 - 0.63 = 0.37
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 478
n = number of samples = 800
P = 478/800 = 0.6
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.6 - 0.63)/√(0.63 × 0.37)/800 = - 1.76
From the normal distribution table, the area below the test z score in the left tail 0.039
Thus
p = 0.039
Answer:
The correct option is A). $112295.05
Step-by-step explanation:
The equation for approximating the total cost is given to be :
y = 1.55x + 110419 , where x is the annual household's income and y is the total cost in dollars of raising a child in the united states from birth to 17 years
We need to calculate the total cost of raising a child in the united states from birth to 17 years if the annual household's income is given to be $1211
So, for this we will use the given equation and substitute x = 1211 and find the value of y which will be our total cost
⇒ Total cost , y = 1.55 × 1211 + 110419
⇒ y = 1877.05 + 110419
⇒ y = 112296.05 ≈ 112295.05
Hence, The approximate total cost of raising a child from birth to 17 years in a household with a weekly income of $1211 = $112295.05
Therefore, The correct option is A). $112295.05
Answer:
a) Null and alternative hypotheses are:
: mu=183 days
: mu>183 days
b) If the true mean is 190 days, Type II error can be made.
Step-by-step explanation:
Let mu be the mean life of the batteries of the company when it is used in a wireless mouse
Null and alternative hypotheses are:
: mu=183 days
: mu>183 days
Type II error happens if we fail to reject the null hypothesis, when actually the alternative hypothesis is true.
That is if we conclude that mean life of the batteries of the company when it is used in a wireless mouse is at most 183 days, but actually mean life is 190 hours, we make a Type II error.
We have that
h(t) = –16t²<span> + 14t
using a graph tool
see the attached figure
</span><span>the cricket’s hang time is the difference between point (0,0) and (0.875,0)
</span>(0.875-0)=0.875 sec
the answer is 0.875 sec
(5x+1)² = 7; expand: 25x² + 10x +1 = 7 or 25x² + 10x -6 = 0
Solve this quadratic for x:
x = [-b + √(b² - 4ac)]/2a and x = [-b - √(b² - 4ac)]/2a
Plug the values and you'll find :
x = (- √7 - 1)/5 (answer C)
x = (+√7 -1)/5 (answer E)
