In a survey, 22 people were asked how much they spent on their child's last birthday gift. the results were roughly bell-shaped with a mean of $32 and standard deviation of $17. construct a confidence interval at a 98% confidence level.

Step-by-step explanation:

Tthe population is normally distributed and the sample size is .

Since the population standard deviation is unknown and the sample standard deviation , must replace it, the t distribution must be used for the confidence interval.

Hence with degrees of freedom of 21, .(Read from the t distribution table)

The 98% confidence interval can be constructed  using the formula:

.

From the question the sample mean is dollars and the sample standard deviation is dollars.

We substitute the values into the formula to get

Therefore, we can be 98% confident that the population mean is between is between 19.22 and 44.78 dollars.

210/22 = 9.55

since he can't take part of a person to the game the answer is 9 people

hope this !