An advertising agency has stated that 20% of all television viewers watch a particular program. How many viewers out of 1000 viewers who were watching the program would be 1.26 standard deviations below the mean?

As of 2020, 83 pitchers have been inducted into the Major League Baseball Hall of Fame. The histogram for the number of winning games these pitchers played in is approximately Normal, with a mean of 250 games and a standard deviation of 83 games. Use this information to answer the following questions. d. How many winning games would put a Hall of Fame pitcher in the top 15%?

A baseball team is reviewing their batting statistics. The mean number ofhits for the batters on the team is 124, and the standard deviation is 14.5.What percent of the batters have between 95 and 124 hits

In a population of ages where the mean age is 45 and the standard deviation is 5.25, what are the ages of the youngest 7% and the oldest 12%?

The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances that someone is earning more than $20 an hour?

Skye High School has a total of 500 graduates.  The mean SAT score of Skye High School graduates is 947 with a standard deviation of 205.  To get into a premier college, a student must score 1000 or more.  If 60 students are selected at random, how many graduates can Skye High School expect to get into a premier college?

Suppose 36% of movie goers say comedy is their favorite genre. If a random sample of 120 movie goers is taken, what are the mean and standard deviation of the number of movie goers that prefer comedy?

Of the 200 American film enthusiasts, the average age is: 30 years, while the standard deviation is 5 (five) years. Question  What is the age limit for American film fans who are classified in the 12% of the film fans group?

The average McDonald's restaurant generates $3.1 million in sales each year with a standard deviation of 0.4. Micah wants to know if the average sales generated by McDonald's restaurants in Maryland is different than the worldwide average. He surveys 19 restaurants in Maryland and finds the following data (in millions of dollars):2.8, 3.2, 3.8, 4.2, 3.5, 3.2, 3.6, 3.2, 2.7, 3.1, 2.5, 3.2, 3.7, 3.5, 3.9, 3.9, 2.5, 2.9, 2.8Perform a hypothesis test using a 9% level of significance.Step 1: State the null and alternative hypotheses.H0:H0:             Ha:Ha:             (So we will be performing a      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     with distribution mean  and distribution standard deviation .Step 3: Find the pp-value of the point estimate.P(P(        )=P()=P(        )=)=pp-value==Step 4: Make a Conclusion…

A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard deviation 53 grams. If this is true, then 99.7% of cantaloupes will have weights between how many grams?