Arecent survey was conducted with a simple random sample of 35 shoppers at the food court in a local mall. the mall claims that the mean price for lunch is less than $4.65. the mean of the sample is $4.49, and the standard deviation of the population of lunch shoppers is $0.36. a p-value of 0.0043 is found using a 0.01 significance level to test the claim that the mean price for lunch is less than $4.65. state the conclusion about the null hypothesis.

There is enough confidence to reject the claim that the mean price is less than $ 4.65

Step-by-step explanation:

Claim: The mean price for lunch is less than $4.65

The Null hypothesis will be: The mean price for lunch is equal to or greater than $ 4.65

Let u represents the mean price of lunch, the null and alternate hypothesis can be written as:

Null Hypothesis: u ≥ 4.65

Alternate Hypothesis: u < 4.65

Calculated p-value = 0.0043

Significance Level = α = 0.01

Since the p value is less than the significance level, we can reject the claim that the mean price if less than $ 4.65

Conclusion: There is enough confidence to reject the claim that the mean price is less than $ 4.65

55/i dont know i do it for the points

step-by-step explanation:

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°