Question

In their advertisements, the manufacturers of a diet pill claims that taken daily, their pill will produce an average weight loss of 10 pounds in one month, with standard deviation 3 pounds.

In order to determine if this is a valid claim, an independent testing agency selects 36 people to take the pill daily for a month and found the mean weight loss for this group was 9 pounds.
Does this indicate at a 5% level that the mean weight loss is less than 10 pounds?
What are the null and alternative hypotheses?
Select one:
a. H0: μ = 10 and HA: μ < 10
b. H0: μ = 0.05 and HA: μ < 0.05
c. H0: μ = 10 and HA: μ > 10
d. H0: μ = 10 and HA: μ = 9

Answer 1

H0: μ = 10 and HA: μ < 10

Explanation:

The population mean, μ = 10

The null hypothesis takes the value of population mean as the initial truth ; hence, the Null hypothesis will take the mean weight value as 10 ;

H0 : μ = 10

The alternative hypothesis is tested using samples which are meant to counter the stance of the null hypothesis ; since we are to test if the mean value is less than the Null ;

The alternative hypothesis becomes ;

H1 : μ < 10