matical tables may be used in any question. se of non-programmable, silent and cordless calculator is allowed. question is followed by four options lettered A ta. . Ind the correct option for each on and shade in pencil, on your answer sheer, the answer space which bears the san as the option you have chosen. Give only one answer to each question. An example below. The ages, in years, of four boys are 10, 12, 14 and 18. What is the average age of the boy

Two friends. Karen and Jodi, work different shifts for the same ambulance service. They wonder if the different shifts average different numbers of calls. Looking at past records, Karen determines from a random sample of 39 shifts that she had a mean of 4.7 calls per shift. She knows that the population standard deviation for her shift is 1.5 calls. Jodi calculates from a random sample of 31 shifts that her mean was 5.4 calls per shift. She knows that the population standard deviation for her shift is 1.2 calls. Test the claim that there is a difference between the mean numbers of calls for the two shifts at the 0.02 level of significance. Let Karen's shifts be Population 1 and let Jodi's shifts be Population 2 .

Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 50 randomly selected people who train in groups, and finds that they run a mean of 45.5 miles per week. Assume that the population standard deviation for group runners is known to be 2.6 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 44.4 miles per week. Assume that the population standard deviation for people who run by themselves is 1.1 miles per week. Test the claim at the 0.02 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2 . Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. \[ H_{0}: \mu_{1}=\mu_{2} \]

Two friends. Karen and Jodi, work different shifts for the same ambulance service. They wonder if the different shifts average different numbers of calls. Looking at past records, Karen determines from a random sample of 39 shifts that she had a mean of 4.7 calls per shift. She knows that the population standard deviation for her shift is 1.5 calls. Jodi calculates from a random sample of 31 shifts that her mean was 5.4 calls per shift. She knows that the population standard deviation for her shift is 1.2 calls. Test the claim that there is a difference between the mean numbers of calls for the two shifts at the 0.02 level of significance. Let Karen's shifts be Population 1 and let Jodi's shifts be Population 2 . Step 1 of \( 3: \) state the null and alternative hypotheses for the test. Fill in the blank below. \[ H_{0}: \mu_{1}=\mu_{2} \] \( H_{a}: \mu_{1} \)

En la Encuesta Nacional sobre Disponibilidad y Uso de las Tecnologías de la Información en los Hogares 2020, se afirma que en el \( 44.2 \% \) de los hogares en México se tiene computadora. En una encuesta de 60 hogares ubicados en la zona oriente de la Ciudad de México, se encontró que en 32 de ellas se cuenta con computadora. Al nivel de \( \alpha=0.02 \) ¿Habrá evidencia que indique que el porcentaje de los hogares que cuentan con computadora en la zona oriente de la ciudad es menor que el porcentaje nacional?

Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 50 randomly selected people who train in groups, and finds that they run a mean of 45.5 miles per week. Assume that the population standard deviation for group runners is known to be 2.6 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 44.4 miles per week. Assume that the population standard deviation for people who run by themselves is 1.1 miles per week. Test the claim at the 0.02 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 3 of 3: Draw a conclusion and interpret the decision.