Nora used a ten dollar bill to buy a 1/2 gallon of ice cream for $3.25 and 11/2 pounds of meat. If her change was $0.96, what wa

Answer:

a) Null and alternative hypothesis

b) Point estimate d = -$78

c) Test statistic t = -2.438

P-value = 0.0113

Reject H0. This indicates that the average automobile premium in Pennsylvania is lower than in the nation.

Step-by-step breakdown:

This is a statistical test for the average population mean.

The hypothesis posits that car insurance in Pennsylvania is notably less expensive compared to the national average.

Accordingly, the null and alternative hypotheses are:

The significance level is set at 0.05.

The sample size is n=25.

The sample mean equates to M=1425.

A point estimate of the difference between the Pennsylvania mean premium and the national average can be computed using the sample mean:

Given that the standard deviation of the population is unknown, we approximate it using the sample standard deviation, which is s=160.

Then, we can calculate the t-statistic as:

The degrees of freedom for this sample size stand at:

This constitutes a left-tailed test, with 24 degrees of freedom and t=-2.438, rendering the P-value as (per a t-table):

As the P-value (0.0113) falls below the significance level (0.05), the results prove significant.

Thus, the null hypothesis obtains dismissal.

At a 0.05 significance level, there's sufficient evidence to assert that car insurance in Pennsylvania costs notably less than the national average.

Result: OPTION D.

Step-by-step reasoning:

The total cost for Lindy can be calculated employing the expression given in the task:

Here, "d" signifies the drinks ordered and "t" represents the toppings on a medium pizza she selects.

Since she and her friends order 4 drinks alongside a medium pizza that includes 3 toppings, you can derive the total cost by substituting these values into the provided expression.

The values are:

Upon substituting into the expression and performing the calculations, the result is: