postillan4

Answered

2020-10-23

A random sample of

A random sample of

(i) Use a calculator to calculate

(ii) Assume that the hay fever rate in each age group has an approximately normal distribution. Do the data indicate that the age group over 50 has a lower rate of hay fever? Use

(a) What is the level of significance?

State the null and alternate hypotheses.

(b) What sampling distribution will you use? What assumptions are you making?

The standard normal. We assume that both population distributions are approximately normal with known standard deviations.

The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations,

The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations,

The Student's t. We assume that both population distributions are approximately normal with known standard deviations,

What is the value of the sample test statistic? (Test the difference

What is the value of the sample test statistic? (Test the difference

(c) Find (or estimate) the P-value.

P-value

P-value

Sketch the sampling distribution and show the area corresponding to the P-value.

P.vaiue Pevgiue

P-value f P-value

Answer & Explanation

brawnyN

Expert

2020-10-24Added 91 answers

To calculate mean you just need to add all the data points in the sample and divide by sample size.

To calculate sample standard deviation, we use the following formula

a) Level of significance

The claim is generally forms the Alternate hypotheses. As the claim is that the mean (rate of hay fever) of group over 50 is lower, the alternate hypotheses will reflect the claim and null hypotheses will be a null statement indicating no change or no difference.

b)

With the assumption that the population for both groups are normally distributed and because the population standard deviations are unknown, we will use students' t test. Students t test. We assume that both population distributions are approximately normal with unknown standard deviations.

C) p -value can be determined using t statistic and degrees of freedom

Formula for degrees of freedom is given by

Right tailed probability

27

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