A study found that the variance in the number of vehicles owned or leased by subscribers to a magazine is .094. Assume a sample of 12 subscribers to another magazine provided the following data on the number of vehicles owned or leased: 1,1,1,0,3,2,1,1,2,1,0, and 1
a) Compute the sample variance in the number of vehicles owned or leased by the subscribers (to 4 decimals).
b)Test the hypothesis to determine whether the variance in the number of vehicles owned or leased by subscribers of the other magazine differs from .
Calculate the value of the test statistic (to 3 decimals).
a) The sample mean is
The sample variance is
b)The hypotheses are
We have the distribution of sample variance is such that . Here
The sample test statistic is
The critical values are ()
Since the test statistic is greater than critical value , we reject the null hypothesis.
We are 99% confident that the variance is different from .094.
A study found that the variance in the number of vehicles owned or leased by subscribers...
nment Save Submit Assignment for Gradin Exercise 11.12 Algorithmic Question 2 of 11 Check My Work (4 remaining) eBook A study found that the variance in the number of vehicles owned or leased by subscribers to a magazine is 0.98. Assume a sample of 12 subscribers to another magazine provided the following data on the number of vehicles owned or leased: 1.1, 2,0,3,2,1,1,2,1,1, and 1. a. Compute the sample variance in the number of vehicles owned or leased by the...
9.8 Test for one variance (Optional) The variance in the number of employees needed daily in a certain pharmacy has been 4. After the pharmacy changed its general manager, the variance is thought to have changed. To test it, a sample of the number of employees required per day for 15 days. Do a hypothesis test (two tailed) for the variance is with a confidence of 80% State the hypothesis. Find the left critical value (Use chi square table) Find...
According to a certain study, of all the households in a city that owned at least one laptop computer, 85% has two or more laptop computers. An internet provider planning to promote a new internet service package found that out of the 400 randomly selected households visited, 310 had two or more laptop computers. At the 0.05 level of significance, is there sufficient evidence to conclude that the proportion is less than what was reported? Express numerical answers in two...
A recent survey of 500 men and 500 women showed that 37% of men owned guns and 31% of women owned guns. What is the hypothesis test for whether gun ownership is greater for men, where a. H0:D≠0;HA:D=0H0:D≠0;HA:D=0 b. H0:D≥0;HA:D<0H0:D≥0;HA:D<0 c. H0:D=0;HA:D≠0H0:D=0;HA:D≠0 Using the sample sizes and sample proportions above what is the value of the test statistic for the hypothesis test? a. -1.534 b. .0299 c. 2.007 d. 1.645 Assume the test statistic was found to be 2.21, what...
A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. Assume that the distributions follow the normal probability distribution. The information is summarized below. Statistic Men Women Sample mean 25.57 22.33 Population standard deviation 5.58 4.95 Sample size 36 40 At the .01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a...
A study conducted in September and October of 2010 found that fewer than half of employers who hired new college graduates last academic year plan to definitely do so again (The Wall Street Journal November 29, 2010) Suppose the hiring intentions of the respondents were as follows (Use Table 3) Definitely Hire Likely to Hire 179 Hire Uncertain 2896 will not Hire 18% Six months later, a sample of 500 employers were asked their hiring intentions and gave the following...
1. When hybrid vehicles were introduced the mean time required for savings from increased fuel economy to recover the additional initial cost was 4.2 years. To test whether it is now less an economist performed a study of 12 hybrid vehicles. The mean time cost recovery time was 3.9 years with sample standard deviation 0.6 years. The test is performed at the 1% level of significance. Assume that the population of recovery times is normally distributed. a) State the null...
In order for a new drug to be sold on the market, the variance of the active ingredient in each dose should be 0.02mg. A random sample of 25 tablets with a dosage strength of 48.42mg is taken. The variance of the active ingredient from this sample is found to be 0.0048. Does the data suggests at α=0.01 that the variance of the drug in the tablets is less than the desired amount? Assume the population is normally distributed. Step...
A 2015 study by Zagat found that Americans pay an average of $3.28 for a cup of coffee. I have a hunch that the average price for a cup of coffee my online students pay will be different, but I am not sure if it will be higher or lower than the national average. So, I asked 16 of my students to report how much they typically pay for a cup of coffee. I assume that coffee prices in the...
A study on the number of mobile phones owned was conducted among the students in a college. A random sample of 5 students was taken and the data is tabulated below. 1 2 2 3 1 It is claimed that students own less than 2 mobile phones on average. Test if the claim is true at a 5% significance level.