Question 2

A soft-drink manufacturer claims that its 12-ounce cans do not contain, on average, more than 30 calories. A random sample of 64 cans of this soft drink, which were checked for calories, contained a mean of 32 calories with a standard deviation of 3 calories. Assume that the distribution of the calories of the soft drink is normally distributed. Use 5% significance level to determine that the mean calories in the soft drink is not more than 30 calories. Answer the following questions.

i.Identify the claim and state the H₀ and H₁.

ii.Find the critical value.

iii.Calculate the test statistic.

iv.Make a decision to reject or fail to reject the H₀.

v.Interpret the decision in the context of the original claim

Question 3

According to a 2018 survey by a research group, 30% of adults typically run the water for a period of 6 to 10 minutes while taking the shower). Suppose that in a recent survey of 400 adults, 104 stated that they typically run the water for a period of 6 to 10 minutes when they take a shower. At the 5% significance level, can you conclude that the proportion of all adults run the water for a period of 6 to 10 minutes when they take a shower is less than 0.30? Answer the following questions.

i.Identify the claim and state the H₀ and H₁.

ii.Find the critical value.

iii.Calculate the test statistic.

iv.Make a decision to reject or fail to reject the H₀.

v.Interpret the decision in the context of the original claim.

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Please write clearly easy for me to read and understand. TQ