a) Since data were collected for 1 ✓ make is a histogram quantitatve b) Using the formula class width = (maxx - minX)/(number of classes) and rounding up to the next whole number, the class width is Complete the frequency/relative frequency table using 5 classes. Round relative frequencies to 3 decimal places. Classes 113.5- variable(s), the correct graph to Frequency Relative Frequency 100
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- duracell battery company claims that their rechargeable batteries will charge at least 703 times before dying out and needing to be replaced. A sample of 10 rechargeable Duracell batteries are tested, and the number of charges of each before needing to be replaced is as follows: 670, 690, 800, 720, 660, 650, 560, 540, 600, 730. At 5% significance level, test whether Duracell Battery Company’s claim is true. Assume that the distribution of the charges of a rechargeable battery are normally distributed.A study will be conducted to 10,000junior high schoolstudents of the Bettbien High School. Fourhundred students will be selected to be part of the study. How many samples are needed per year level using equal distribution?Among drivers who have had a car crash in the last year, 88 are randomly selected and categorizedby age, with the results listed in the accompanying table. If all ages have the same crash rate, wewould expect (because of the age distribution of licensed drivers) the given categories to have 16%,44%, 27%, and 13% of the subjects, respectively. At the 0.05 significance level, test the claim thatthe distribution of crashes conforms to the distributions of ages. Does any age group appear to havea disproportionate number of crashes? Explain. Age____|___Under 25,_____25 – 44=21,_____45 – 64=12,_____Over 64=19,Drivers | 36, 21, 12, 19,
- The Wisconsin Fish and Game Department stocked a lake with 30% catfish, 15 % bass, 40% bluegill, and 15% Northern Pike. Five years later they took a random sample of 500 fish from the lake and found 120 catfish, 85 bass, 220 bluegill, and 75 Northern Pike. At the 5% level of significance, can we show that the distribution of fish changed over the 5-year interval? State and test appropriate hypotheses. State conclusions.The weights (kg) of 30 males and 30 females were each partitioned into 3 age groups: 18-29, 30-49, and 50-80 (10 per age group). Use a 0.05 significance level to test the claim that mean body weight is affected by an interaction between age and gender.In a certain school district, it was observed that 25% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 93 out of 316 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.01α=0.01 level of significance.
- In a certain school district, it was observed that 30% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 119 out of 336 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.01level of significance. a. What is the hypothesized population proportion for this test? p=(Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.) b. Using the normal approximation for the binomial distribution (without the continuity correction), was is the test statistic for this sample based on the sample proportion? z=(Report answer as a decimal accurate to 3 decimal places.) You are now ready to calculate the P-value for this sample. P-value = (Report answer as a decimal accurate to 4 decimal places.)Are there less children diagnosed with Autism Spectrum Disorder (ASD) in states that have larger urban areas over states that are mostly rural? Assume data were collected from a fairly urban state and they found 167 eight-year olds diagnosed with ASD out of 18922 eight-year olds evaluated. Assume data were then collected for a fairly rural state and they found 68 eight-year olds diagnosed with ASD out of 2989 eight-year olds evaluated. Is there enough evidence to show that the proportion of children diagnosed with ASD in the fairly urban state is lower than the proportion in the fairly rural state? Test at the 3% level and Compute a 94% confidence interval for the difference in proportions. (round to 3 decimal points)