Question

1. There is a claim that the average weight of 10 years old girls is different from 70.5 Ib. A sample of 20 10 years old girls were selected with the mean 0f 68.4 Ib and standard deviation 0f 4.8 Ib. Given that a = 0.01. what is the p-value?

2. There is a claim that the average weight of 10 years old girls is different from 70.5 Ib. A sample of 20 10 years old girls were selected with the mean 0f 68.4 Ib and standard deviation 0f 4.8 Ib. Given that a = 0.01. What is the correct conclusion?

3.A researcher claims that a person uses less than 65 tissues during a cold. Suppose a sample of 50 people was selected with a mean of 60 tissues and a standard deviation of 16 tissues during a cold. Given that a=0.01. Is there sufficient evidence to indicate that a person uses less than 65 tissues during a cold?

Answer 1

(1)

H0: Null Hypothesis: = 70.5 ( the average weight of 10 years old girls is not different from 70.5 Ib )

HA: Alternative Hypothesis: 70.5 ( the average weight of 10 years old girls is different from 70.5 Ib ) (Claim)

n = 20

= 68.4

s = 4.8

df = 20 - 1 = 19

Test Statistic is given by:

By Technology,

p - value = 0.0653

So,

Answer is:

0.0653

(2)

H0: Null Hypothesis: = 70.5 ( the average weight of 10 years old girls is not different from 70.5 Ib )

HA: Alternative Hypothesis: 70.5 ( the average weight of 10 years old girls is different from 70.5 Ib ) (Claim)

n = 20

= 68.4

s = 4.8

df = 20 - 1 = 19

Test Statistic is given by:

By Technology,

p - value = 0.0653

Since p - value = 0.0653 is greater than = 0.01, the difference is not significant. Fail to reject null hypothsis.

Conclusion:
The data do not support theclaim that the average weight of 10 years old girls is different from 70.5 Ib.

(3)

H0: Null Hypothesis: 65 ( A person does not use less than 65 tissues during a cold. )

HA: Alternative Null Hypothesis: 65 ( A person uses less than 65 tissues during a cold. ) (Claim)

n = 50

= 60

s = 16

= 0.01

df = 50 - 1 = 49

From Table, critical value of t = - 2.405

Test Statistic is given by:

Sincecalculated value of t = - 2.21 is greater than critical value of t =- 2.405, the difference is not significant. Fail to reject null hypothesis.

Conclusion:
There is not sufficient evidence to indicate that a person uses less than 65 tissues during a cold.