Question

dole pineapple inc. is concerned that the 16-ounce can of sliced pineapple is being overfilled. assume the population standard deviation of the process is 0.03 ounce. the quality-control department took a random sample of 50 cans and found that the arithmetic mean weight was 16.05 ounces.at the 5% level of significance, can we conclude that the mean weight is greater than 16 ounces?

Answer 1

We fail to reject te Null and conclude that mean weight is > 16 ounces.

Using the parameters given for our Calculation;

• μ = 16.05
• σ = 0.03
• sample size , n = 50

The Null and Alternative hypothesis;

`H_(0) : μ > 16`

`H_(1) : μ < 16`

We calculate the test statistic;

• (x - μ) / (σ/√n)

Test statistic =

• (16.05 - 16) / (.03/√50) = 11.785

Using the P - value calculator :

Pvalue(11.785) at 0.05 level of significance is < 0.00001

Since, the Pvalue < 0.05, Then the result is significant at 0.05.

Hence, we do not reject the Null and conclude that the mean weight is greater than 16 ounces .