Question

a reseacher claims that the average yearly consumption of soft drinks per person is greater than 58 gallons. in a Sample of 50 randomly selected people, the mean of the yearly consumption was 62.3 gallons. The standard deviation of the population is 4.5 gallons. At 0.05 test the researchers coin. What is the P value for this problem by hand

Answer 1

n=50, =58, =0.05

= 62.3, =  4.5

a)

the null and alternative hypotheses is

Ho: 58
Ha: > 58

b)

Calculte test statistic

z= 6.76

Test statistic = 6.76

c)

calculate P-Value

P-Value = 1 - P(z < 6.76)

using normal z table we get

P(z < 6.76) = 1

P-Value = 1 - 1

P-Value = 0

d)

decision rule is

Reject Ho if (P-Value) < ( )

here, (P-Value= 0) < (=0.05 )

hence,

Null hypothesis is rejected.

e)

Therefore there is enogh sufficient evidence to support the claim that the average yearly consumption of soft drinks per person is greater than 58 gallons