Answer: No, It does not indicates that the population proportion of consumers loyal to Chevrolet is more than 47%.
Step-by-step explanation:
Let p denotes the proportion of consumers loyal to Chevrolet.
As per given , we have
Since the alternative hypothesis is right-tailed so the test would be a right-tailed test.
Also , it is given that ,Chevrolet did a study of a random sample of 1006 Chevrolet owners and found that 490 said they would buy another Chevrolet.
i.e. n = 1006
x= 490
Test statistic :
, where p=population proportion.
= sample proportion
n= sample size.
i.e.
P-value (for right-tailed test)= P(z>1.08)=1-P(z≤1.08) [∵P(Z>z)=1-P(Z≤z)]
=1- 0.8599=0.1401 [By z-value table.]
Decision : Since p-value (0.14) is greater than the significance level () , it means we are failed to reject the null hypothesis.
Conclusion : We have sufficient evidence to support the claim that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice.
Hence, it does not indicates that the population proportion of consumers loyal to Chevrolet is more than 47%.
Answer:
Step-by-step explanation:
The probability distribution function for uniform distribution in interval [a,b] is given by :_
Given : Mr. Warren Buffet and Mr. Zhao Danyang agree to meet at a specified place between 12 pm and 1 pm.
Since 1 pm comes after 12 pm, and in 24 hours system we call it as 13 pm.
If each person arrives between 12 pm and 1 pm at random with uniform probability, then the uniform distribution function for this will be :_
Hence. the distribution function for the length of the time that the first to arrive has to wait for the other will be :-
Answer:
Jack is 31
Lacy is 10
Step-by-step explanation:
x - 9 = 22
since jack is 3 times as old as lacy,
the formula is
3x - 9 = 22
3x = 31
x = 10.3
So Jack is 31
And Lacy is 10
To prove this, subract 9 (years) from both ages
It will give you an approximate sum of 22 years for both their ages, as the question states
Since Lacy is a little over 10 years old, Jack is 31 instead of 30
The formula was taken from someone elses answer so sorry if it`s wrong
Answer:
36%
Step-by-step explanation:
34-25=9
9/25=36%
Answer:
slant length = 35 cm
Step-by-step explanation:
A right cone has the vertex directly above the center of the base . The surface area of the right cone can be represented below.
surface area = πr(r + l)
where
r = radius
l = slant height/length
surface area = πr(r + l)
r = 10/2 = 5 cm
surface area = 628 cm²
Therefore,
628 = π × 5(5 + l)
628 = 5π(5 + l)
628 = 25π + 5πl
628 = 25 × 3.14 + 5 × 3.14 × l
628 = 78.5 + 15.7l
628 - 78.5 = 15.7l
549.5 = 15.7l
divide both sides by 15.7
l = 549.5/15.7
l = 35 cm
slant length = 35 cm