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The average cholesterol content of a certain can goods is 215 milligrams and the cholesterol deviation is 15 milligrams.assume the variable is normally distributed. If a sample of 25 canned goods is selected, what is the probability that the mean of the sample will be greater than 220 miligrams?
The p.d.f of a continuous random variable is give
P(x) ={ kx (1-x) e*, 0 ≤ x ≤ 1
{ 0, otherwise
Find k and hence find mean and standard deviation
according to nscb statistics, the life expectancy of filipino women is 70.1 years. suppose a random sample of 30 women in town b yields a mean of 72.5 years with a population variance of 4.76 years, would you say that the life expectancy of the women in town b is greater than the average
a. Formulate the null and alternative hypothesis in sentence and in symbol
b. Determine what test statistic to use
c. Compute the test statistic
every year, the assigned teachers determine the body mass index of students. in a certain public junior high school, a study finds that 10% of grade 7 students observe are underweight. A sample of 780 Grade 7 students was randomly chosen and it was found out that 125 of them are underweight. Is this claim different for their grade level age? Use 0.05 level of significance
A seller claimed that her lip tint has a mean organic content of 90%. Arrival seller ask 60 users of that lip tint and found that it has a mean organic content of 85% with a standard deviation of 5%. Test the claim at 1% level of significance and assume that the population is approximately normally distributed
It is reported that children between 2 and 6 years old watch an average of 20 hours of TV per week. Assume the variable is normally distributed and the standard deviation is 3 hours. If 20 children between the ages of 2 and 6 are randomly selected, find the probability that the mean of the number of hours they watch TV will be greater than 21.3 hours.
An MP claims that the average number of acres in his province’s State Parks is less than 2000 acres. A random sample of five parks is selected and the number of acres is shown below:
959, 1187, 493, 6249, 541
Assume the variable must be normally distributed, at = 0.01 is there enough evidence to support the claim? To draw your conclusion, state the hypotheses and identify the claim, find the critical value(s), label the acceptance and rejection region, calculate the test value, and summarize the results.
Observations on two responses are collected for three treatments. The observation vectors are recorded as follows:
Treatment 1:"\\begin{pmatrix}\n 6 \\\\\n 7\n\\end{pmatrix}" "\\begin{pmatrix}\n 5 \\\\\n 9\n\\end{pmatrix}" "\\begin{pmatrix}\n 8\\\\\n 6\n\\end{pmatrix}\\begin{pmatrix}\n 4 \\\\\n 9\n\\end{pmatrix}" "\\begin{pmatrix}\n 7 \\\\\n 9\n\\end{pmatrix}"
Treatment 2: "\\begin{pmatrix}\n 3 \\\\\n 3\n\\end{pmatrix}\\begin{pmatrix}\n 1 \\\\\n 6\n\\end{pmatrix}\\begin{pmatrix}\n 2 \\\\\n 3\n\\end{pmatrix}"
Treatment 3: "\\begin{pmatrix}\n 2 \\\\\n 3\n\\end{pmatrix}\\begin{pmatrix}\n 5 \\\\\n 1\n\\end{pmatrix}\\begin{pmatrix}\n 3\\\\\n 1\n\\end{pmatrix}\\begin{pmatrix}\n 2 \\\\\n 3\n\\end{pmatrix}"
Find 95% Bonferroni and Scheffe confidence interval.
There is a notice in a lift saying that the maximum weight allowed is 1200 kg.The weights of passengers are normally distributed with mean of 76 kg and a standard deviation of 9.5 kg 15 passenger get into the lift. (a) Calculate the mean and standard deviation of the total weights of 15 passengers.
An MP claims that the average number of acres in his province’s State Parks is less than 2000 acres. A random sample of five parks is selected and the number of acres is shown below: 959, 1187, 493, 6249, 541 Assume the variable must be normally distributed, at = 0.01 is there enough evidence to support the claim? To draw your conclusion, state the hypotheses and identify the claim, find the critical value(s), label the acceptance and rejection region, calculate the test value and summarize the results
#332078 on Oct 2022