As reported on the package of seeds, the mean time until maturity of a certain variety of tomato plant is 70 days. It is also known that the maturity of this variety of tomato follows a normal distributed with standard deviation σ = 2.4. A researcher believes that it will indeed take more time in a given condition. To test his belief, he selects a sample of 16 plants of this variety under the maintained condition and measure the time until maturity. The sample yields

The best option would be:

z=5 and p-value 0.000000

Step-by-step explanation:

Assuming this complete question: "A researcher believes that it will indeed take more time in a given condition. To test his belief, he selects a sample of 36 plants of this variety under the given condition and measure the time until maturity. The sample mean is found to be 72 days. The value of the test statistic and p-value for testing H0: μ=70, Ha: μ>70 are:

z=5 and p-value 0.000000

z=3 and p-value=0.99865  

z=2 and p-value=0.02275"

Data given and notation  

represent the sample mean

represent the population standard deviation

sample size  

represent the value that we want to test

z would represent the statistic (variable of interest)  

represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is higher than 70 days, the system of hypothesis would be:  

Null hypothesis:  

Alternative hypothesis:  

The statistic is given by:  

 (1)  

Calculate the statistic

We can replace in formula (1) the info given like this:  

P-value

Since is a one side test the p value would be:  

The best option would be:

z=5 and p-value 0.000000

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

you would need to also lose 1 point for each of the other outcomes for it to be fair.

step-by-step explanation: