Mathematics, 06.05.2020 04:08 shanaz8199

The weights of the watermelons grown on a farm are normally distributed. The mean weight has been μ0=32.5 pounds. Because of the use of a new fertilizer, the farmer would like to know if the mean weight has changed. A random sample of n=9 watermelons is selected. The sample mean is x=33.8 pounds and the sample standard deviation is s=2.45 pounds. Test if the population mean has changed at a significance level a=0.05.

Answers: 2

Show answers

Answers

Answer from: jakails828

$t=\frac{33.8-32.5}{\frac{2.5}{\sqrt{9}}}=1.56$

p_v =2*P(z1.56)=0.157

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v\alpha$ so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can conclude that the true mean of weights for thr watermellons is not different from 32.5 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=33.8$ represent the sample mean

s=2.45 represent the sample standard deviation

n=9 sample size

$\mu_o =32.5$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

p_v 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 different from 32.5, the system of hypothesis would be:

Null hypothesis: $\mu =32.5$

Alternative hypothesis: $\mu \neq 32.5$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

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

Calculate the statistic

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

$t=\frac{33.8-32.5}{\frac{2.5}{\sqrt{9}}}=1.56$

P-value

The degrees of freedom are given by df = n-1= 9-1=8

Since is a two-sided test the p value would be:

p_v =2*P(z1.56)=0.157

Conclusion

Answer from: Quest

step-by-step explanation:

i need to answer questions so i dont know but i think its the first one because it goes up but a consent rate

Which table represents a linear function

Answer from: Quest

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

~just a girl in love with shawn mendes

Find the composition of transformations that map abcd to ehgf. !

Another question on Mathematics

Mathematics, 21.06.2019 21:00

The sum of the first eight terms of an arithmetic progression is 9m + 14. the fifth term of the06 progression is 2m - 6, where m is a constant.given that the first term of the progression is 26,find the value of the common difference, d and thevalue of m.

Answers: 1

Answer

Mathematics, 21.06.2019 21:20

In a column proof the right column states your reasons

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

Are the corresponding angles congruent? explain why or why not.

Answers: 2

Answer

Mathematics, 21.06.2019 22:00

Luke started a weight-loss program. the first week, he lost x pounds. the second week, he lost pounds less than times the pounds he lost the first week. the third week, he lost 1 pound more than of the pounds he lost the first week. liam started a weight-loss program when luke did. the first week, he lost 1 pound less than times the pounds luke lost the first week. the second week, he lost 4 pounds less than times the pounds luke lost the first week. the third week, he lost pound more than times the pounds luke lost the first week.

Answers: 2

Answer

You know the right answer?

The weights of the watermelons grown on a farm are normally distributed. The mean weight has been μ0...

Questions