Forecasts of rainfall are made in three categories, namely 'no rain', 'light rain' and 'heavy rain'. The table below summarises the incidence of each type of forecast and the observed rainfall for a sample of 141 forecasts. Forecast rainfall Observed rainfall No rain Light rain Heavy rain Total No rain 34 24 17 75 Light rain. 21 4 3 28 23 9 6 38 Heavy rain Total 78 37 26 141 (a) Find the expected' frequencies for each combination of forecast rainfall and observed rainfall under the hypothesis, Ho, that there is no association between the forecast and the observed rainfall. (b) Use a test based on the x² distribution to decide whether or not Ho is plausible.

Q: Ophthalmology Table 2 comes from a paper giving the distribution of astigmatism in 1033 young men…

A:

Q: A box has (4) balls. Choose (2) balls one by one without replacement, X is the first chosen and Y is…

A: Given problem Given that   A box has 4 balls. Choose 2 balls one by one without replacement. X is…

Q: A manager gathers some demographic information from the store's customers. The following chart…

A: The total number of customers is 436.

Q: Based on their records, a hospital claims that the proportion, p, of full-term babies born in the…

A:

Q: objectives choose from (A,B,C,D,E) Based on the following grouped frequency table of the income x…

A: Solution: The frequency distribution is  Income Frequency(f) Midpoint(x) fx Cumulative frequency…

Q: You generate a scatter plot using Excel. You then have Excel plot the trend line and report the…

A: Given y=−41.92x+87.09 and r2=0.4096

Q: What is your expected value?

A:

Q: In a completely randomized design, seven experimental units were used for each of the five levels of…

A:

Q: Express the confidence interval in the form of p±E. 13) 0.203<p<1.423 13)

A:

Q: < Note: $1 billion - $1,000,000,000 800,000,000,000 700,000,000,000 600,000,000,000 500,000,000,000…

A: Please find the solution below. Thank you

Q: o study the effect of temperature on yield in a chemical process, five batches were produced at each…

A: Solution: Given information: k= 3 groups Each group has 5 observation.  The output from excel data…

Q: r I International representation in the Australian workforce between 1991 and 2031 75% 71.5% 70% 65%…

A:

Q: Mean square error of estimators Explain what the following statements mean: (i) Y is a statistic,…

A: Find: Explain the term i)y is a sttaistic ii)The statistic y is an unbiased estimator of θ.

Q: 9.- American women's height are approximately normally distributed with mean 63.8 inches and…

A:

Q: 1. A random sample of n observations is selected from a normal population. Specify the rejection…

A:

Q: In a statistics class, the average grade on the final examination was 65 with a standard deviation…

A:

Q: Given a J.p.f of x and y as f(x, y) = {x+y then the marginal.p.f of x is for 0<x< 1,0 <y< 1 " O.W…

A: Solution

Q: Suppose Jim is going to build a Playlist that contains 5 songs. In how many ways can Jim arrange 5…

A: Given: Jim is going to build a Playlist that contains 5 songs.

Q: Alpha is usually set at .05 but it does not have to be; this is the decision of the statistician.…

A: Testing of hypothesis is a rule which, when the sample values have been obtained, leads to a…

Q: B. PERFORMANCE TASK Direction: The table shows the frequency distribution of the monthly income of…

A: Find Q1, Q2,  Q3 and IQR

Q: of the questions. Find the full probability distribution of the number of correct answers that Simon…

A: It is given that the number of correct answer follows Binomial distribution with parameter p = 80% =…

Q: 4L A machine produces bolts, and for each bolt there is a probability p of it being defective,…

A:

Q: Cardiovascular Disease The data in Table 1 are a sample of cholesterol levels taken from 24 hospital…

A: Mean, x̄= ΣXi/n   Here sample size is n= 24   Mean x̄= 499/24   = 20.79167   Standard deviation=…

Q: The breaking strengths of cables produced by a certain company are approximately normally…

A: The claim is that the actual standard deviation is higher.

Q: = 5. Two types of plastic are suitable for use by an electronic calculator manufacturer. The…

A: Solution: Given information: n1= 10n2= 12y1= 162.5y2= 155.0σ1=σ2=1.0α=0.01

Q: Please provide a correct answer with a full method explanation and do not copy and paste from other…

A: The box plot is constructed on the basis of 5-number summary.

Q: The stem-and-leaf plot show a spring 2019 pre-calculus class' scores for their first exam: 3 3 4…

A: Mode: The mode is the most frequently occurred value.

Q: In an experiment to test whether final digits of telephone numbers are random, a random sample of 40…

A: Note: As per guidelines we will solve the first question only, please repost other questions for…

Q: "Suppose that in the past, 74% of all adults favored capital punishment. Do we have a reason to…

A:

Q: ments were made before adopting the diet and I month after. Subject 1 2 3 4 Before After Difference*…

A: Mean is given by,  x̄= ΣXi/n = 499/24 = 20.79167

Q: (b) Obtain the maximum likelihood estimator of the probability that the next observation is greater…

A: To obtain the maximum likelihood estimator of the probability that the next observation is greater…

Q: A teacher collected data on her students’ favourite ice cream flavours. Below is a summary table…

A: Bar diagram is a diagrammatic representation that comprises a number of equidistant rectangles…

Q: Q18  Determine which of the four levels of measurement ( nominal, ordinal , interval, ratio ratio)…

A: Given  Determine which of the four levels of measurement ( nominal, ordinal , interval, ratio ratio)…

Q: choose the correct answer below .  A. The given value is a parameter for the week because the data…

A:

Q: 4-P (X10 a) = 0.90 then a = 5. If X~ N (30, o²), if n = 10, s² = 5 then p (X <32) is

A: Solution

Q: The local coffee shop keeps track of how much coffee they sell versus the temperature on that day,…

A: Given: Sample size n = 6 Formula Used: The equation of regression line is: Y = a + bX Where, b is…

Q: 4D. Articles are mass-produced to a specified width of 0-15 cm. In order to check that the…

A:

Q: The probabilities that a market inspector will discover violations of the public health code in a…

A: Given problem Given that   The probabilities that a market inspector will discover violations of…

Q: 4D. Articles are mass-produced to a specified width of 0.15 cm. In order to check that the…

A:

Q: 1. A group of 500 volunteers recorded an average age of 21.5 years and standard deviation of 9.6…

A:

Q: Suppose that the age of students at George Washington Elementary school is uniformly dist and 10…

A: Given: Lower limit (a) = 5 Upper limit (b) = 10 Sample size (n) = 39

Q: .5 (a) For a certain type of manufactured product, the weight is expected to be 350 gm, and the…

A:

Q: s Apparel, a chain of upscale clothing stores for women, have increased during the past 12 years as…

A: Given: The given data is as shown below Size (thousands of sq. ft) Annual Sales (millions of $)…

Q: Determine whether the value 55% is a parameter or statistic: A sample of 70 residents of Traverse…

A:

Q: In a study, the sample is chosen by dividing members of the U.S. Congress by the region in which…

A: There are mainly 5 survey sampling methods.  Simple Random Sampling: Each member of the sample is…

Q: Q4) The following data represents the relation between the two parameters (y) and (x), if the…

A: Given: x y 0.87 1 0.499 2 0.308 3 0.198 5 0.143 7 0.123 8 0.083 12 0.069 14…

Q: Your twenty observations of Dr. Knowitall reveal the following information. Assume that the estimate…

A: z value for 99% confidence level = 1.645 e = 8% = 0.08

Q: 11. Mr. Sy asserts that fewer than 5% of the bulbs that he sells are defective. Suppose 300 bulbs…

A: According to the given information in this question We need to identify the null and alternative…

Q: 6. A survey was carried out to find if students in the theater department liked the following three…

A: Given: Total = 51 students

Q: ide a correct answer with a full method explanation and do not copy and paste from other similar…

A: Given: 33.2 37.8 34.6 33 32.8 36.1 34.3 35.5 32.9 36.6 34.1 33 33.2…