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Is the rate of hay fever lower for people over the age of 50 as compared to people under the age of 25? A random sample of

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Answer #1

Ans:

a)level of significance=0.05

$H_0:\mu_1\leq \mu _2$

$H_a:\mu_1>\mu _2$

b)We will use t-statistic.

pooled standard deviation=SQRT(((16-1)*15.41^2+(14-1)*11.57^2)/(16+14-2))=13.761

standard error=13.761*sqrt((1/16)+(1/14))=5.036

Test statistic:

t=(109.5-99.36)/5.036

t=2.014

c)df=16+14-2=28

p-value=tdist(2.014,28,1)=0.0269

d)As,p-value<0.05,we reject the null hypothesis.

Yes,data is statistically significant at level

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Answer 1

Ans:

a)level of significance=0.05

$H_0:\mu_1\leq \mu _2$

$H_a:\mu_1>\mu _2$

b)We will use t-statistic.

pooled standard deviation=SQRT(((16-1)*15.41^2+(14-1)*11.57^2)/(16+14-2))=13.761

standard error=13.761*sqrt((1/16)+(1/14))=5.036

Test statistic:

t=(109.5-99.36)/5.036

t=2.014

c)df=16+14-2=28

p-value=tdist(2.014,28,1)=0.0269

d)As,p-value<0.05,we reject the null hypothesis.

Yes,data is statistically significant at level