Automobile Insurance Premiums. A website reports that the mean annual premium for automobile insurance in the United States was $1503 in March 2014. Being from Pennsylvania at that time, you believed automobile insurance was cheaper there and decided to develop statistical support for your opinion. A sample of 25 automobile insurance policies from the state of Pennsylvania showed a mean annual premium of $1440 with a standard deviation of s = $165. a. Develop a hypothesis test that can be used to determine whether the mean annual premium in Pennsylvania was lower than the national mean annual premium. b. What is a point estimate of the difference between the mean annual premium in Pennsylvania and the national mean? c. At alpha=0.05, test for a significant difference. What is your conclusion?

Q: The mean value of land and buildings per acre from a sample of farms is $1500, with a standard…

A: The mean is 1500 and the standard deviation is 300.

Q: You may need to use the appropriate appendix table or technology to answer this question. The United…

A: According to the given information in this questionWe need to answer all the parts

Q: Imagine you are the Chief of a large police department, and you are concerned about drinking among…

A: From the given information, the sample size of 100 police officers. The mean number of drinks per…

Q: Based on the data below, answer the following question:  What is the sample standard deviations of…

A: Measure of central tendency measures the central or average value of a dataset. Measured of…

Q: If the Standard Deviation of a data set is 2.1, what is the variance of that data set? State your…

A:

Q: Google is analyzing the decision to launch a new Pixel phone. The development costs are estimated to…

A:

Q: Which is cheaper: eating out or dining in? The mean cost of a flank steak, broccoli, and rice bought…

A: given data claim : μ < 13.04n = 100x¯ = 12.75s = 2

Q: Tom Sevits is the owner of the Appliance Patch. Recently Tom observed a difference in the dollar…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: A large company has many employees and the annual salaries of those employees follow a normal…

A: X follows a Normal distribution with mean = 70000 and S.D = 12000 Then z=(x-mean)/SD =…

Q: he density netion of the cont variable X, the total number of hours, in units of 100 hours, that a…

A: We want to find average and variance.

Q: You are applying for a job at two companies. Company A offers starting salaries with u = $28,000 and…

A:

Q: Suppose that the average gregariousness score for the entire U.S. population is 70. The head…

A: As per bartleby guideline expert have to answer first question three subparts only dear student…

Q: If the Variance of a data set is 16.01, what is the Standard Deviation? State your result as a…

A: Standard deviation is the square root of variance

Q: polling organization reported data from a survey of 2000 randomly selected Canadians who carry debit…

A: The following information has been provided: Hypothesized Population Mean (\mu)(μ) = 1010…

Q: Salaries for Macdonald's workers are normally distributed with a mean of $30,000 and a standard…

A: Given: μ=30000 and σ=5000. From the given information:PZ<z=95%⇒PZ<z=0.95

Q: A polling organization reported data from a survey of 2000 randomly selected Canadians who carry…

A: From the provided information, Sample size n = 2000 Sample mean x̄= 9.13 Standard deviation s = 7.20…

Q: The hourly cost to hire a handyman in a particular city is normally distributed with mean $40 and…

A: Solution: 19. Let X be the hourly cost to hire a handyman in a particular city. From the given…

Q: A study by the National Center for Health Statistics suggested that women between the ages 20 and 29…

A: The objective of this question is to find the proportion of women between the ages of 20 and 29 in…

Q: A tire company finds the lifespan for one brand of its tires is normally distributed with a mean of…

A: Step 1:We have given that :Mean(μ)=46500 milesStandrad deviation(σ)=6000 milesThe probability of a…

Q: A polling organization reported data from a survey of 2000 randomly selected Canadians who carry…

A:

Q: A coffee shop that specializes in shade-grown organic coffee wants to learn more about their…

A: It is required to compute the mean and standard deviation of the sampling distribution of the sample…

Q: Researchers at a drug company are testing the duration of a new pain reliever. The drug is normally…

A:

Q: Do people walk faster in the airport when they are departing​ (getting on a​ plane) or do they walk…

A: Given, α=0.05 μ1 = represent the mean speed of people departing and μ2 = represent the mean speed of…

Q: The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances…

A:

Q: An article in the San Jose Mercury Newsstated that students in the California state university…

A:

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.