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MATH SOLVE
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In a random sample of 8 people, the mean commute time to work was 36.5 minutes and the standard deviation was 7.4 minutes. A 98% confidence interval using the t-distribution was calculated to be (28.7,44.3). After researching commute times to work, it was found that the population standard deviation is 8.7 minutes. Find the margin of error and construct a 98% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results.The margin of error of u is ___A 98% confidence interval using the standard normal distribution is (__,__)Compare the results. Choose the correct answer below.a. the confidence interval found using the standard normal distribution has smaller lower and upper confidence interval limitsb. the confidence interval found using the standard normal distribution is wider than the confidence interval found using the students t-distributionc. the confidence interval found using the standard noraml distribution is the same as the confidence interval found using the students t-distributiond. the confidence interval found using the standard normal distrubution is narrower than the confidence interval found using the students t-distribution
General
2 months ago
An honest coin is flipped 4 times. Given that the coin landed heads up more than two, what is the probability that it landed heads up all four times?
General
2 months ago
A group of students consists of five people in all; two women and three men. They agree to take turns taking notes in lecture. One person at a time will be selected at random from the group (without replacement) until everyone has had a turn. The expected value of the number of people selected before and including the first time a woman has a turn is ________ .
General
2 months ago
A toy manufacturer wants to know how many new toys children can buy each year. He thinks the mean is 6.9 toys per year. Assume a previous study found the standard deviation to be 1.3. How large a sample would be required in order to estimate the mean number of toys bought per child at the 98% confidence level with an error at most 0.11 toys?
General
2 months ago
In the largest clinical trial ever conducted, 401,974 children were randomly assigned to two groups. The treatment group consisted of 201,229 children given the Salk vaccine for polio, and the other 200,745 children were given a placebo. Among those in the treatment group, 33 developed polio, and among those in the placebo group, 115 developed polio. If we want to use the methods for testing a claim about two population proportions to test the claim that the rate of polio is less for children given the Salk vaccine, are the requirements for a hypothesis test satisfied? Explain.
General
2 months ago
A survey of 10 resturants in a fast food resturant group showed a mean customer satisfaction index of 73 with a standard deviation of the index is 6. What is the margin of error if 99% confidence is desired?
General
2 months ago
A student wanted to construct a 99% confidence interval for the mean age of students in her statistics class. She randomly selected nine students. Their mean age was 19.1 years with a sample standard deviation of 1.5 years. What is the 99% confidence interval for the population mean?
General
2 months ago
The ratio of the number of tomato plants in Inessa’s garden to the number of tomato plants in Ralph’s garden was 5:6. After 1/2 of the tomato plants from Inessa’s garden were replanted into Ralph’s garden, Ralph’s garden had 850 tomato plants. How many tomato plants did Ralph’s garden have in the beginning?
General
2 months ago
3 friends share the cost of a video game. If the game costs $74.79 including tax, what is the best estimate to the nearest dollar of the amount each friend will pay?
General
2 months ago
Assuming that X is a binomial random variable with n = 10 and p = 0.25, find the probability, P for each of the following values of X. (a) X = 5. (Give the answer to four decimal places.) P(X = 5) = (b) X = 2. (Give the answer to four decimal places.) P(X = 2) = (c) X = 1. (Give the answer to four decimal places.) P(X = 1) = (d) X = 9. (Give the answer to seven decimal places.) P(X = 9) =
General
2 months ago
Solve for x: log(3x) + log(x + 4) = log(15).
General
2 months ago
This is confusing :(Solve the equation x^4-4x^3+6x^2-4x+5=0 is one of its roots is 2-i.
General
2 months ago
The partial pressure of oxygen PaO2 is a measure ofthe amount of oxygen in the blood. Assume that the distribution ofPaO2 levels among newborns has a mean of 38 mmHg and astandard deviation of 9 mmHg. If we take a random sample of 25newborns what is the probability that the sample meana) will be greater than 36b) will be between 36 and 41
General
2 months ago
Solve the following logarithmic equations.log(x) + log(x − 1) = log(3x + 12)
General
2 months ago
Solve the following logarithmic equations.ln(x^6) = 36
General
2 months ago
Solve the following logarithmic equations.log[(x^2 + 2x − 3)^4] = 0
General
2 months ago
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.The measure of ABC is 60The measure of BAC is 50The measure of ACB is... 50 60 70 120
General
2 months ago
How do you simplify this complex fraction. 5/7 / 15
General
2 months ago
PLEASE HELP ASAP ITS MATH!!!!! THANK YOU!
General
2 months ago
Write the general equation for the circle that passes through the points: (0,0) (6,0) (0,-8)
General
2 months ago
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