Students are planning a 3 day hiking trip in the mountains. The hike covers a distance of 18.5 kilometers. The students hike 0.2
2 answers:
Answer:
They hike 9.11 km on day three
Step-by-step explanation:
Total distance traveled on a 3 day hiking trip in the mountains = 18.5 km
The students hike 0.28 of the total distance the first day.
So, Remaining distance = 18.5 - 0.28 = 18.22
Now we are given that they split the remaining distance equally between the second and third days
So, Distance traveled by them on third = Distance traveled by them on second day = Half of the remaining distance =
So, they hike 9.11 km on day three
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Answer:
We conclude that a compact microwave oven consumes a mean of more than 250 W.
Step-by-step explanation:
We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.
They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.
Let = <u><em>mean power consumption for microwave ovens.</em></u>
So, Null Hypothesis, :
250 W {means that a compact microwave oven consumes a mean of no more than 250 W}
Alternate Hypothesis, :
> 250 W {means that a compact microwave oven consumes a mean of more than 250 W}
The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;
T.S. = ~ N(0,1)
where, = sample mean power consumption for ovens = 257.3 W
σ = population standard deviation = 15 W
n = sample of microwave ovens = 20
So, <em><u>the test statistics</u></em> =
= 2.176
The value of z test statistics is 2.176.
<u>Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.</u>
Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.
Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.