Estimate the number of first-year students at an assembly meeting. He surveys 60 students and finds that 24 of them are first-year students. Identify the values needed to calculate a confidence interval at the 95% confidence level. Then find the confidence interval.

The values needed to calculate a confidence interval at the 95% confidence level are

The 95% confidence interval for the proportion of first-year students at an assembly meeting is (0.276, 0.524).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the zscore that has a pvalue of .

For this problem, we have that:

95% confidence level

So , z is the value of Z that has a pvalue of , so .

The values needed to calculate a confidence interval at the 95% confidence level are

The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval for the proportion of first-year students at an assembly meeting is (0.276, 0.524).

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950