A website would like to test the hypothesis that the average length of an online video watched by a user is more than 8 minutes. A random sample of 37 people watched online videos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes. The website owners would like to set α=0.02. What is the critical value for this hypothesis test?

The critical value is 2.434

Step-by-step explanation:

Significance level = 0.02 (2%)

n (number of samples) = 37

Degree of freedom = n - 1 = 37 - 1 = 36

Using the t-distribution table, the critical value for a one-tailed test corresponding to 2% significance level and 36 degrees of freedom is 2.434

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

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.