29/12 + 23/6 + 11/3 - 5 / 12
1 answer:
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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.
Answer:
Area of the Trapezoid is=
Step-by-step explanation:
The given figure is in the shape of a trapezoid:
Area of a trapezoid= (1/2)*(Sum of parallel opposite sides)* (Distance between the parallel sides)
The parallel sides are: 6 cm and 3 cm
Distance between parallel sides= 3 cm
Area:
Area of the Trapezoid is=
The standard form of an equation is
In the question, we have the following formula
To get the formula in standard form, we first have to subtract 2y from both sides (since we need to get 2y on the left side)
Finally we subtract 1 from both sides (since we need the number on the right side)
Hence, 4. is the correct answer.
In the question, we have the following formula
To get the formula in standard form, we first have to subtract 2y from both sides (since we need to get 2y on the left side)
Finally we subtract 1 from both sides (since we need the number on the right side)
Hence, 4. is the correct answer.