For 30 recent Academy Award ceremonies, ages of Best Supporting Actors (x) and ages of Best Supporting Actresses (y) are recorded. The 30 paired ages yield x¯ = 52.1 years, y¯ = 37.3 years, r = 0.076, P-value = 0.691, and y^ = 33.4 + 0.0587x. Find the best predicted value (age of Best Supporting Actress in 1982), when the age of the Best Supporting Actor (x) was 44 years.

Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 275 times and got 122 heads. We wish to find how significant is this evidence against equal probabilities. a. What is the sample proportion of heads? Round to 3 decimal places. b. Heads do not make up half of the sample. Is this sample evidence that the probabilities of heads and tails are different? Take p to be the probability of getting heads in a spin of a penny. Which hypotheses do we want to test? O Họ: p = 0.5 Họ: p > 0.5 O Ho: p = 0.5 Ho: p < 0.5 O Ho: p = 0.5 Ho: p 0.5 O Ho: p 0.5 Ho: p = 0.5 c. Compute the z test statistic. Z = Round to 2 decimal places.

An outdoor hot dog vendor sells an average of 70 hot dogs per day in dry weather and an average of 25 hot dogs in rainy weather. If the weather in this area is rainy 20% if the time, determine the expected number of hot dogs sold per day.

In the last year, a total of 14,905 earthquakes occurred in a country. Of these, 89.3% were minor tremors with magnitudes of 4.9 or less on the Richter scale. How many minor earthquakes occurred in the country in the last year?

Find p^ and q^. Round your answers to three decimal places n= 43 and X= 19

ABC company has recently experienced a sharp decline in its stock price. Its current (time 0) stock price is $42.65, and this morning, it paid $5.00 per share. Given that the stock price four years ago was $82.88, complete the following time series of data by determining the missing values. t= -3, Pt =$83.43, Divt = $16.03, Rt = (1)t= -2, Pt =$85.20, Divt =(2),           Rt = 22.8482%t= -1, Pt =(3),          Divt =$17.50, Rt = 20.6572%t= 0, Pt =$42.65, Divt =$5.00,     Rt =(4)

A pharmacist estimates that a chemotherapy drug produces a 75% improvement in lung cancer patients. If this treatment is randomly given to 7 lung cancer patients. (Approximate your answer to two decimal places) How many average patients report Improvement with chemotherapy treatment?

The scores of a test for an engineering class of 30 students are shown here. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) Scores: 81, 54, 55, 56, 96, 86, 98, 61, 90, 52, 92, 76, 66, 84, 79, 70, 71, 88, 62, 74, 53, 65, 55, 78, 79, 58, 60, 72, 51,80 (a) Determine the frequency (f), midpoint (x), and xf for each range and fill in the table below. (First, organize the scores into the following ranges: 50-59, 60-69, 70-79, 80-89, and 90-99.) (b) Using the following equation, determine the mean value (x) and fill in the table below. Σ(XA) n X = (c) Calculate (x − x) for each range and fill in the table below. (d) Calculate (x - x)²f for each range and fill in the table below. Range Frequency f Midpoint x 50-59 60-69 70-79 80-89 90-99 S = Enter a number. S = (e) Using the following equation, compute the standard deviation of the class scores. Σ(x-x) ²f n - 1 Σ(x-x) ²4 n - 1 = xf 29 X X - X (x - x)²f

An epidemiologist studies cardiovascular disease among 25,502 male middle-aged alumni of an Ivy League university. Initial medical exams certify that the alumni have never had a heart attack in the past. During the first year of the research, 111 alums have heart attacks. Calculate the cumulative incidence per 1000 population

People living in a certain area have observed 102 rainy days in the year 2018, 96 rainy days in 2019, 111 rainy days in 2020. Use the best fit line to predict, how many rainy days they will see in 2021.