Math

StatisticsQ&A LibraryGiven the following hypotheses: H0: μ ≤ 10H1: μ > 10 A random sample of 10 observations is selected from a normal population. The sample mean was 12 and the sample standard deviation 3. Using the 0.05 significance level: a) State the decision rule. (Round your answer to 3 decimal places.)Reject Ho if t >________b) Compute the value of the test statistic.(Round your answer to 3 decimal places.) Value of the etst statistic __________Question

Asked Nov 18, 2019

419 views

Given the following hypotheses:

*H*_{0}: μ ≤ 10

*H*_{1}: μ > 10

A random sample of 10 observations is selected from a normal population. The sample mean was 12 and the sample standard deviation 3. Using the 0.05 significance level:

a) State the decision rule. **(Round your answer to 3 decimal places.)**

**Reject Ho if t >________**

b) Compute the value of the test statistic.**(Round your answer to 3 decimal places.) Value of the etst statistic __________**

Step 1

**Part (a): Decision rule:**

The decision rule is given by:

Reject the null hypothesis if *t* >critical value. Otherwise fail to reject the null hypothesis.

The level of significance is **0.05**.

It is given that test is right tailed. α = 0.05, n=10.

Note that the Excel formula **=T....**

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Could you do Problem 4?

A: It is given that probability that a farm in Wisconsin raises dairy cattle is 0.4 and the probability...

Q: In recent years more people have been working past the age of 65. In 2005, 27% of people aged 65-69 ...

A: It is given that 27% of people aged 65-69 worked. Therefore, population proportion; P is 0.27. It is...

Q: I really don't understand Stats at all. I am super close into dropping out and i don't want to do th...

A: Let us define the random variable X as the number of successes in the sample follows Binomial distri...

Q: I'm confused as to what distrubution I should use to solve this probability. When tall and colorful ...

A: The multinomial distribution can be used if the experiment having more than two outcomes and the out...

Q: See picture for question.

A: The provided data is:

Q: Suppose the annual consumption of chicken mean is 20.84 pounds per person, and that thestandard devi...

A: From the given information,Population mean = 20.84 pounds,Standard deviation = 9.193 pounds,And samp...

Q: It has been claimed that for the population of U.S. commercial jets, the mean age is less than 18 ye...

A: Step 1:The hypotheses to be tested are:H0: μ = 18, that is, true mean age is 18;Versus:H0: μ < 18...

Q: Given P(A) = 0.2 and P(B) = 0.8, do the following. (For each answer, enter a number.) (a) If...

A: a) Condition for Independence: If A and B are independent events, then P(A and B)=P(A)*P(B). The val...

Q: est ed apaiast H:P7043 t f0.15 fevel p G 43 is Suppore Ha PGth trial ends in ccess of Signficane) wh...

A: It is given that n is 250 and p0 is 0.43. The level of the significance is 0.15.