Dan bought a new house with a backyard whose dimensions are 21.8 by 12 feet. The backyard has a triangular garden with an area o
1 answer:
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Answer:
They sold 120 milkshakes that day
Step-by-step explanation:
We can set up a proportion
Note: If you have some value, , and it is
of the total amount, you can find the value by doing the equation
<u>Answer:</u>
<u>Explanation:</u>
let the number be x, now we are given that four times the cube of a number which means four multiplied by the cube of number
i.e 4 multiplied by is less than the difference of 40 and the number x i.e 40 - x
x is for sure less than 40 as is less than the difference between 40 and x so if we write x - 40 then we will obtain negative value which will be greater than
.
So, the inequality obtained can be written as
Answer:
(a) Customer will not purchase the light bulbs at significance level of 0.05
(b) Customer will purchase the light bulbs at significance level of 0.01 .
Step-by-step explanation:
We are given that Light bulbs of a certain type are advertised as having an average lifetime of 750 hours. A random sample of 50 bulbs was selected, and the following information obtained:
Average lifetime = 738.44 hours and a standard deviation of lifetimes = 38.2 hours.
Let Null hypothesis, :
= 750 {means that the true average lifetime is same as what is advertised}
Alternate Hypothesis, :
< 750 {means that the true average lifetime is smaller than what is advertised}
Now, the test statistics is given by;
T.S. = ~
where, X bar = sample mean = 738.44 hours
s = sample standard deviation = 38.2 hours
n = sample size = 50
So, test statistics = ~
= -2.14
(a) Now, at 5% significance level, t table gives critical value of -1.6768 at 49 degree of freedom. Since our test statistics is less than the critical value of t, so which means our test statistics will lie in the rejection region and we have sufficient evidence to reject null hypothesis.
Therefore, we conclude that the true average lifetime is smaller than what is advertised and so consumer will not purchase the light bulbs.
(b) Now, at 1% significance level, t table gives critical value of -2.405 at 49 degree of freedom. Since our test statistics is higher than the critical value of t, so which means our test statistics will not lie in the rejection region and we have insufficient evidence to reject null hypothesis.
Therefore, we conclude that the true average lifetime is same as what it has been advertised and so consumer will purchase the light bulbs.