Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Male 15,573 25,391 1406 7584 19,264 15,347 13,664 24,947 O Female 25,319 13,558 18,117 17,596 12,608 17,614 16,838 18,296 Use a 0.01 significance level to test the claim that among couples, males speak fewer words in a day than females. In this example, Hg is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis test?

4. Use a 0.05 significance level to test the claim that gender and left-handedness are independent. Male Female Left-handed 83 184 Right-handed 17 16

About 4% of the population has a particular genetic mutation. 600 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 600. Submit Question acer

5. A high school teacher wants to see if there is an effect on vocabulary recall between when students take a quiz before lunch and when they take it after lunch. She randomly selected 10 students and assessed them before lunch on Tuesday. On Wednesday she randomly selected 10 students and assessed them after lunch. The following were the percentage results Before lunch 62 60 68 64 72 75 63 60 64 80 After lunch 72 85 72 62 84 76 66 63 65 64 What type of samples were selected – independent or dependent (paired)? Explain. StatCrunch was used to analyze the data, and the output for both types of samples (independent and dependent) is given below. Using the appropriate output, determine if the mean quiz score is higher for those who take the quiz before lunch over those who take the quiz after lunch at a significance level of 0.05. Hypothesis test results: mean before lunch mean after lunch Hypothesis test results: : µi - µ2 : mean of the PAIRED difference µ2 : between Before and After…

assume that 100 births are randomly selected. Use subjective judgment to describe the given number of girls as (a) significantly low, (b) significantly high, or (c) neither significantly low nor significantly high. 53 girls

Sierra College students enrolled in an online Elementary Statistics course were asked to participate in an anonymous onlne survey. The survey asked the students "Which type of device will you primarily use to access your online course in Canvas?". Of the 152 students who answered this question, 20 responded "a desktop computer", 121 responded "a laptop computer", 6 responded "a smartphone", and 5 responded "a tablet". The Sierra College Mathematics Department believes that less than 5% of students enrolled in an online Elementary Statistics course primarily uses a smartphone to access their online course in Canvas. Use the data collected in the survey to conduct a hypothesis testing procedure to test this belief. What conclusion should be reached according to the results of this hypothesis test?

A manufacturing plant knows that in reality 80% of products made are perfect. An inspector selects four products at random. What is the mean number of perfect products in any sample of 4? It can be assumed that each product is independent of the others.