Question

Nestor Milk Powder is sold in packets with an advertised mean weight of 1.5kgs. The standard deviation is known to be 184 grams. A consumer group wishes to check the accuracy of the advertised mean and takes a sample of 52 packets finding an average weight of 1.49kgs. What is the set of hypotheses that should be used to test the accuracy of advertised weight?
(a) oH:μ= 1.49; 1H: μ≠1.49
(b) oH:μ= 1.5; 1H: μ< 1.5
(c) oH: μ= 1.5; 1H: μ≠1.5
(d) oH: x = 1.5; 1H: x < 1.5

Answer 1

Answer: c) $H_0:\mu= 1.5\\\\H_a:\mu \neq1.5$

Step-by-step explanation:

Given: Nestor Milk Powder is sold in packets with an advertised mean weight of 1.5 kgs.  

i.e. $\mu= 1.5$  

A consumer group wishes to check the accuracy of the advertised mean and takes a sample of 52 packets finding an average weight of 1.49 kgs.

So 1.49 is sample mean but hypothesis is the statement about the parameter which is $\mu$.

i.e. he wanted to check whether $\mu= 1.5$ or $\mu \neq1.5$

Since null hypothesis$(H_0)$ contains equality and alternative hypothesis$(H_a)$ is against it.

Therefore, the set of hypotheses that should be used to test the accuracy of advertised weight would be :

$H_0:\mu= 1.5\\\\H_a:\mu \neq1.5$

Hence, the correct answer is option c) oH: μ= 1.5; 1H: μ≠1.5