What is 123,456,789 times 2 divided by 4
2 answers:
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Answer:
250 minutes of calling will cost same using both plans.
$53
Step-by-step explanation:
Please consider the complete question.
A phone company offers two monthly plans. Plan A costs $23 plus an additional $0.12 for each minute of calls. Plan B costs $18 plus an additional $0.14 of each minute of calls. For what amount of calling do the two plans cost the same? What is the cost when the two plans cost the same?
Let x represent the number of call minutes.
The total cost of calling for x minutes using plan A would be cost of x minutes plus fixed charge that is .
The total cost of calling for x minutes using plan B would be cost of x minutes plus fixed charge that is .
To find the number of minutes for which both plans will have same cost, we will equate total cost of x minutes for both plans and solve for x.
Therefore, calling for 250 minutes will cost same using both plans.
Upon substituting in expression
, we will get:
Therefore, the cost will be $53, when the two plans cost the same.
Answer:
(a) Decision rule for 0.01 significance level is that we will reject our null hypothesis if the test statistics does not lie between t = -2.651 and t = 2.651.
(b) The value of t test statistics is 1.890.
(c) We conclude that there is no difference in the mean number of times men and women order take-out dinners in a month.
(d) P-value of the test statistics is 0.0662.
Step-by-step explanation:
We are given that a recent study focused on the number of times men and women who live alone buy take-out dinner in a month.
Also, following information is given below;
Statistic : Men Women
The sample mean : 24.51 22.69
Sample standard deviation : 4.48 3.86
Sample size : 35 40
<em>Let </em><em> = mean number of times men order take-out dinners in a month.</em>
<em /><em> = mean number of times women order take-out dinners in a month</em>
(a) So, Null Hypothesis, :
= 0 {means that there is no difference in the mean number of times men and women order take-out dinners in a month}
Alternate Hypothesis, :
0 {means that there is difference in the mean number of times men and women order take-out dinners in a month}
The test statistics that would be used here <u>Two-sample t test statistics</u> as we don't know about the population standard deviation;
T.S. = ~
where, = sample mean for men = 24.51
= sample mean for women = 22.69
= sample standard deviation for men = 4.48
= sample standard deviation for women = 3.86
= sample of men = 35
= sample of women = 40
Also, =
= 4.16
So, <u>test statistics</u> = ~
= 1.890
(b) The value of t test statistics is 1.890.
(c) Now, at 0.01 significance level the t table gives critical values of -2.651 and 2.651 at 73 degree of freedom for two-tailed test.
Since our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.
Therefore, we conclude that there is no difference in the mean number of times men and women order take-out dinners in a month.
(d) Now, the P-value of the test statistics is given by;
P-value = P( > 1.89) = 0.0331
So, P-value for two tailed test is = 2 0.0331 = <u>0.0662</u>