Step-by-step explanation:
Express this decimal as a fraction 2.9=
2 answers:
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Answer:
And the 95% confidence interval for the difference in the means is given by:
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
sample mean for inhibitor A
sample standard deviation for inhibitor A
sample size for A
sample mean for inhibitor B
sample standard deviation for inhibitor B
sample size for A
Solution to the problem
For this case the confidence interval for the difference of means is given by:
The degrees of freedom are given by:
Since the Confidence is 0.95 or 95%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,87)".And we see that
And replacing we got:
And the 95% confidence interval for the difference in the means is given by:
Amy earns $0.16 per unit for the work she does. For all units she produces in a week over 1,000, she receives $0.26. What were her weekly earnings if she produced 1,725 units in one week?
Answer: The number of units produced by Amy in one week
For the first 1000 units, she earns $0.16 per unit. Therefore, her total earning's for the first 1000 units is $0.16 x 1000 = $160
For the remaining 1725 - 1000 = 725 units, she earns $0.26. Therefore, her total earning for the 725 units is $0.26 x 725 = $188.5
Therefore, Amy's total for one week = $160 + $188.5 = $348.5
Hence, the option b. $348.50 is correct