Can a point at (0, 4) be reflected across the y-axis

A horticulturist working for a large plant nursery is conducting experiments on the growth rate of a new shrub. Based on previou

sergejj [24]

Answer:

$t=\frac{2.9-3}{\frac{0.3}{\sqrt{50}}}=-2.357$

$df=n-1=50-1=49$

$p_v =P(t_{(49)}$

Since the p value is less than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true growth rate is significantly less than 3 cm per week

Step-by-step explanation:

Information given

$\bar X=2.90$ represent the sample mean for the growth

$s=0.30$ represent the sample standard deviation

$n=50$ sample size

$\mu_o =3$ represent the value to check

$\alpha=0.1$ represent the significance level

t would represent the statistic

$p_v$ represent the p value for the test

System of hypothesis

We want to verify if the true mean for the growth us less than 3cm per week, the system of hypothesis are:

Null hypothesis: $\mu \geq 3$

Alternative hypothesis: $\mu < 3$

We don't know the population deviation so we can use the t statistic:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{2.9-3}{\frac{0.3}{\sqrt{50}}}=-2.357$

The degrees of freedom are given by:

$df=n-1=50-1=49$

The p value for this case would be given by:

$p_v =P(t_{(49)}$

Since the p value is less than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true growth rate is significantly less than 3 cm per week

3 0

3 years ago

What is the quotient of 5 divided by 1/3

Pachacha [2.7K]

Answer:

15

Step-by-step explanation:

5 divided by 1/3 is the same as if you flip the denominator meaning 5 x 3 which is 15

4 0

4 years ago

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Got this question for homework. I don't know how to solve it, got a few more like this so I would like to see how to do it more