Final answer:
To determine if the average monthly cell phone bill is more than the reported average, a hypothesis test must be performed using a sample of monthly bills. A low p-value would suggest the claim is supported; however, without specific data, we cannot calculate the p-value or conclude if there is enough evidence to support the claim.
Step-by-step explanation:
To assess whether the average monthly cell phone bill is more than the reported $162.58, we would perform a one-tailed hypothesis test. Firstly, we must state our null hypothesis (H0) as the mean monthly bill being $162.58 or less, and the alternative hypothesis (H1) as the mean monthly bill being more than $162.58.
Without specific sample data, we cannot calculate an exact p-value, but it's essential to acquire a sample of recent monthly bills, determine the sample mean and standard deviation, and then use a t-test or z-test (depending on sample size and whether the population standard deviation is known) to find the p-value.
The p-value indicates the probability of obtaining the sample results, or more extreme, if the null hypothesis is true. A low p-value (typically less than 0.05) would suggest there is enough evidence to reject the null hypothesis and support the claim that the average bill is more than $162.58. However, without concrete data to perform the statistical test, we cannot assert whether there is sufficient evidence to support your claim.