According to a money report by a government institution, 18-to-20-year-old college students have an average credit card balance of $569. A researcher wants to find out if this number is lower now and collects data for a random sample of 40 college students. Their average credit card debt was found to be $546 with a sample standard deviation of $67.25. Complete parts a through c. a. Using a = 0.05, does this sample provide enough evidence to conclude that the average credit card balance of 18-to-20-year-old college students has decreased since 2016? Determine the null and alternative hypotheses. H: u = (Type integers or decimals. Do not round. Do not include the $ symbol in your answers.)

Suppose that the cost of annual tuition at colleges is normally distributed, with an average annual cost of $13,926.78. The standard deviation of tuition is $4,085.42. What proportion of colleges would be expected to have an annual tuition between the cost of College A with a tuition of $20,106.18 and College B with a tuition of $14,829.01?

The average McDonald's restaurant generates $2.4 million in sales each year with a standard deviation of 0.7. Carissa wants to know if the average sales generated by McDonald's restaurants in New Mexico is different than the worldwide average. She surveys 18 restaurants in New Mexico and finds the following data (in millions of dollars): 2.1, 2, 2.9, 1.7, 1.8, 2.3, 2.1, 2.1, 3.3, 1.4, 1.6, 1.4, 1.4, 2.3, 2.6, 2.7, 2.7, 1.7 Perform a hypothesis test using a 8% level of significance. Step 1: State the null and alternative hypotheses. Ho: pv 2.4 Ha: Ev 2.4 (So we will be performing a two-tailed test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are normally distributed v with and distribution standard deviation distribution mean Step 3: Find the p-value of the point estimate. P(zv [ p-value = Step 4: Make a Conclusion About the…

An instructor claims that the average number of hours needed to study for a final exam in order to pass should be 5 hours. A student believes that the instructor is understating the number of hours needed to pass and surveys 36 students and finds the sample mean and standard deviation to be 5.7  and 1.5 hours respectively.  Test the instructors claim at a .10 level.