The relative frequency of 65 out of 125 male workers in H & B Company.
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The relative frequency of 65 out of 125 male workers in H & B Company.
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- 1. In 1955, Life Magazine reported that a 25-year-old mother of 3 children, worked an average of 80 hours each week. Recently, some researchers have been studying whether the women’s movement has resulted in an increase in the work week hours for women (combining employment and at-home work). A study was done to find out if the mean work week has, in fact, increased. A random sample of 81 women were surveyed and the mean was 83 hours with a standard deviation of 10. Using a 95% confidence level, does the sample data support the researcher’s claim that the average number of weekly hours that women work, is greater than 80? a. What statistical test will you use to test this data ? b. State the null and alternative hypothesis. i. H0: ii. Ha: c. What are the confidence intervals? d. What is the value of the test statistic? e. What is the p-value? f. Circle/highlight the correct decision about the null hypothesis. Reject H0…6) A (real) published study in 2018 plotted the school grade distribution of female (red) and male (blue) students for STEM (science, technology, engineering, math) and non-stem subjects. The vertical line of "top 25%" means among the top 25% in percentile for all students, female to male ratio is 1.1 to 1 for STEM subjects (left), and female to male ratio is 1.3 to 1 for non-STEM subjects (right), and so on. Fig.3 Frome Gender differences in individual variation in academic grades fail to fit expected patterns for STEM a b Density 0.6 0.4 0.2 STEM Top 25%, tm 1.1 Top 5%, Im 0.9 Top 1%, f:m 0.8 Density 06- 0.4- 02 Non-STEM Top 25%, fm 1.3 Top 5%, tm 1.1 Top 1%, fm 0.9 School grades School grades Discuss whether each statement below is supported by the evidence presented in these two graphs (only), along with concepts from this course. a) [50 word limit] The standard deviation of girls' grades is higher than that of boys'. b) [150 word limit] Boys are better than girls in STEM. Girls…1:03 Done Knowledge Check Observed frequency fo Expected frequency SE (fo-ƒE)² JE expected frequencies to two or more decimal places. REspañol yo responses to three or more decimal places. Send data to Excel www-awu.aleks.com AA Monday Tuesday Wednesday Thursday 29 18 0 28.00 3.571 34 28.00 1.286 Type of test statistic: (Choose one) ▼ Z (b) Find the value of the t more decimal places.) □ all 100 28 28.00 (a) Determine the type of test statistic to use. Chi-square Friday Total 31 0 0.000 0 Evelyn V Ć 140 Part 2 Answer the following to summarize the test of the hypothesis employee absences at this firm are equally likely on each of th weekdays. Use the 0.05 level of significance for the test. E (Round your answer to two or
- Consider a study that surveyed 50 people to rate how much they like their job. Ratings mean 1 for “hate my job”, 2 for “dislike my job”, 3 for “neutral”, 4 for “like my job” and 5 for “love my job”. This survey found that • 8 people hated their job• 14 people disliked their job • 15 people were neutral• 9 people liked their job, and • 4 people loved their job. (1) Write a description of the random variable describing this survey(2) Write a probability distribution describing the probability of the outcomes of this event. (3) What probability of people like their job?(4) Calculate the expected rating.2. Metal Tags on Penguins and Survival. Data were collected over a 10-year timespan from a sample of 100 penguins that were randomly given either metal or electronic tags. One variable examined is the survival rate 10 years after tagging. The scientists observed that 10 of the 50 metal tagged penguins survived, compared to 18 of the 50 electronic tagged penguins. Test whether the survival rate is lower among metal- tagged penguins than among electronic-tagged penguins. Use subscripts E for Electronic and M for Metal. a. State hypotheses. b. Calculate the sample statistic PE - PM c. Use Normal distribution methods to calculate a z-test statistic, given SE = 0.0898. d. Find the p-value and draw a Normal curve with z-statistic and appropriate shaded region. Normal curve: p-value: e. State the conclusion of the test in context, using nontechnical language. f. Find a 90% confidence interval to three decimal places for this difference in proportions, given SE= 0.08836. Show your…40 30 20 10 0 00 : 00000 -1.00 00000 -0.75 3. A statistics student seeking part-time employment as a New York City cab driver is trying to decide between driving a yellow cab or a green cab and examines tip amounts to help in making the decision. Using data from the New York City Taxi & Limousine Commission (http:// www.nyc.gov/html/tlc/html/about/trip_record_data.shtml), the stu- dent examines tip amounts from 25 randomly selected green cab fares and tip amounts from 25 randomly selected yellow cab fares. Graphs and summary statistics of the sample data from green cabs (G) and yellow cabs (Y) are shown. Green Cab ooooooooo000 Yellow Cab oooooooooooo 우1 -0.50 88.8. COCO 2 - 3 -0.25 4 5 Amount of Trip 0.go null = 0 Source: http://www.nyc.gov/html/tlc/html/about/trip_record_data.shtml Because each sample includes outliers, a two-sample t-test for H₁ a difference in means is not appropriate to test the hypotheses: Ho: MG My = 0, Ha:MG My # 0. The student simulates a distri- µy bution of…
- 24. A sports medicine major wanted to conduct an experiment to determine if there is a correlation between the members of the soccer team's leg strength and the time it takes for them to sprint 40 yards. He sets up the following test and records the data: Every day for a week, he counts how mnany times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The table shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fir? How many seconds should he expect a player to take to run -0 yards if that player can do 22 leg-press repetitions Round any values to the nearest tenth, if necessary Leg Press (reps) 32 7 11 23 28 15 12 40-vard Dash (s) S.6 14.6 7.1 S.3 11 9 13 4 9.5 53°F aAnterior cruciate ligament (ACL) injuries occur most frequently in planting and cutting sports such as basketball, soccer, and volleyball. National collegiate athletic association injury data show that female athletes injure the ACL more frequently than their male counterparts do. A sports medicine professor wants to test this claim. He surveyed 5 universities that had both men's and woman's basketball, soccer, and volleyball and asked them how many grade 3 ACL tears they had during the past 5 seasons. Using the following results, are women at greater risk than men for ACL injuries? (use a standard deviation of 0.01, one tail test). Women- 4,3, 5, 2,4 Men- 2, 0, 1 ,2, 1 What is the difference between a repeated measure study and a matched pairs study?please explain!
- Investigation 3.2: Valence Differences Between R&B and Rap Genres (Paired)A music fan claims that R&B songs tend to have a more positive tone on average than do Rapsongs. The individual collected two independent random samples from the population of SpotifySongs. Fifteen R&B songs and another fifteen Rap songs were collected and their Valence wasrecorded. The music fan believed that pairing the song by their Danceability may provideadditional information. Danceability describes how suitable a track is for dancing based on acombination of musical elements including tempo, rhythm stability, beat strength, and overallregularity. A value of 0.0 is least danceable and 1 is most danceable. Thus, the individual pairedthe R&B song with the lowest danceability with the Rap song with the lowest danceability,followed by the second and second, third and third. She continued this process until the R&Bsong with the highest danceability was paired with the Rap song with the…Does it seem to you that people tend to be absent more on some days of the week than on others? Recently, a major biotechnology firm collected data with the hope of determining whether or not its employees were more likely to be absent on some weekdays than on others. The firm examined a random sample of 130 employee absences. The distribution of these 130 absences is shown in the table below. The observed frequency for each category (each weekday) is shown in the first row of numbers. The second row of numbers contains the frequencies expected for a sample of 130 employees if employee absences at the firm are equally likely on each of the five weekdays. The bottom row of numbers contains the following value for each of the categories.Show work