Jennifer ran 2 miles at the track on Tuesday. If one lap around the track is 1/4 of a mile, how many laps did she run?

Mathematics

1 answer:

Dima020 [189]3 years ago

3 0

Answer:

She would have ran 8 laps.

Step-by-step explanation:

4/4 = 1 mile so therefore she would need 8/8 for it to be 2 miles

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A major manufacturing firm producing PCB for electrical insulation discharges small amounts from the plant. We assume that the a

xxTIMURxx [149]

Answer:

a. Z = 2.6667

c. Upper limit = 3.39

Step-by-step explanation:

Part a

We are given

Population mean = 3

Population standard deviation = 0.3

Sample mean = 3.2

Sample size = n = 16

Level of significance = 0.05

Null hypothesis: H0: µ = 3

Alternative hypothesis: Ha: µ > 3

The test statistic formula is given as below:

Z = (sample mean – population mean) / [SD / sqrt(n)]

Z = (3.2 – 3)/[0.3/sqrt(16)]

Z = 2.6667

Part b

Type I error is the probability of rejecting the null hypothesis that the population mean is 3 ppm when actually it is 3 ppm. Type II error is the probability of do not rejecting the null hypothesis that the population mean is 3 ppm when actually it is exceeding 3 ppm. Type II error is the serious in this scenario.

Part c

We are given

Population mean = 3

Population standard deviation = 0.3

Sample mean = 3.2

Sample size = n = 16

Confidence level = 90%

Critical z value = 2.3263

Formula is given as below:

Lower limit =sample mean – z*SD/sqrt(n)

Upper limit = sample mean + z*SD/sqrt(n)

Lower limit = 3.2 – 2.5758*0.3/sqrt(16)