Question

Listed below are the lead concentrations in

muμ​g/g

measured in different traditional medicines. Use a

0.050.05

significance level to test the claim that the mean lead concentration for all such medicines is less than

1515

muμ​g/g.

Assume that the lead concentrations in traditional medicines are normally distributed

12
13
19.5
5.5
6.5
4
8.5
16
10
8.5

Determine the test statistic.

Determine the​ P-value.

State the final conclusion that addresses the original claim.

▼

Reject

Fail to reject

Upper H 0H0.

There is

▼

sufficient

not sufficient

evidence to conclude that the mean lead concentration for all such medicines is

▼

less than

equal to

greater than

not

1515

muμ​g/g.

Answer 1

the necessary calculation table:-

concentration (x)	x2
12	144
13	169
19.5	380.25
5.5	30.25
6.5	42.25
4	16
8.5	72.25
16	256
10	100
8.5	72.25
sum=103.5	sum=1282.25

sample size (n) = 10

hypothesis:-

the test statistic be:-

degrees of freedom = (n-1) = (10-1) = 9

the p value is :-

[ in any blank cell of excel type =T.DIST(-3.0365,9,TRUE)]

decision:-

p value = 0.007 <0.05 (alpha)

reject the H₀and There is sufficient evidence to conclude that the mean lead concentration for all such medicines is less than 15 m​g/g.

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