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SSSSS [86.1K]
3 years ago
6

In a hypothesis test, the claim is μ≤25 while the sample of 34 has a mean of 21 and a population standard deviation of 5.9 from

a normally distributed data set. In this hypothesis test, would a z test statistic be used or a t test statistic and why?
Mathematics
1 answer:
iogann1982 [59]3 years ago
5 0

Answer:

z test statistic

Step-by-step explanation:

Given : In a hypothesis test, the claim is μ ≤ 25 while the sample of 34 has a mean of 21 and a population standard deviation of 5.9 from a normally distributed data set.

To Find : In this hypothesis test, would a z test statistic be used or a t test statistic and why?

Solution:

Claim : μ ≤ 25

Sample size = n = 34

Population Standard Deviation = 5.9

Since n > 30 and we are given the standard deviation of population .

So, we will use z test statistics .

Hence  In this hypothesis test,  z test statistic would be used.

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3 years ago
There was no snow on the ground when it started falling at midnight at a constant rate of 1.5 inches per hour. At
kumpel [21]

Answer:

The required piece-wise linear function is

\left\{\begin{matrix}1.5x & 0\leq x

Step-by-step explanation:

Consider the provided information.

Let x represents the number of hours and S(x) represents the depth of snow.

There was no snow on the ground when it started falling at midnight at a constant rate of 1.5 inches per.

That means the depth of snow will be:

S(x)=1.5x\ \ \ 0\leq x< 4

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From mid night to 4:00 a.m the depth of snow will be 1.5×4=6 inches.

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Therefore, the required piece-wise linear function is

\left\{\begin{matrix}1.5x & 0\leq x

8 0
3 years ago
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