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It has been found that the mean time required to answer an academic test is 75 minutes with a standard deviation of 14 minutes. Suppose that the time it takes for those who take the test follows a n
A manufacturing process makes AA batteries. The voltage of these batteries is a random variable and the specification limit for an acceptable battery are:
Suppose a lot is received and it has a 3% defective, i.e. there are only 3 defectives in the lot of 100 units. What is the probability that it will be accepted? Please write the mathematical equatio
In a private company, employees tend to take sick days when they are not. If 40% of the employees that took a sick day say that they took the day because they were to lose those days. If we take a r
Acceptance sampling is an important quality control technique, where a batch of data is tested to determine if the proportion of units having a particular attribute exceeds a given percentage.
A small business ships specialty homemade candies to anywhere in the world. Past records indicate that orders weigh an average of 118 grams with a standard deviation of 14 grams.
Describe the shape of the sampling distribution of the sample proportion. Show that the sample size assumption is satisfied for assuming this model.
A politician claims that she will receive 59% of the vote in an upcoming election. The results of a properly designed random sample of 100 voters showed that 53 of those sampled will vote for her.
The recommended number of hours of sleep per night is 8 hours, but everybody "knows" that the average college student sleeps less than 7 hours. The number of hours slept last night by 10 randomly se
The pulse rates for 13 adult women were as follows. Construct a 0.99 confidence interval for the mean pulse rate. (Give your answers correct to one decimal place.) 71 70 62 65 107 95 61 81 98 67 57
Construct a 95% confidence interval estimate for the mean μ using the given sample information. (Give your answers correct to two decimal places.) n = 29, x = 16.5, and s = 2.3 to
The value of the test statistic for testing if one population mean is larger than the other, based on samples of size 24 and 19, is 2.45. What is the p-value for the test? Give your answer to 4 dec
Two independent samples of size 20 each are taken to test for a difference in the corresponding population means. The sample means differ by 5, and the pooled variance is 15. What is the value of th
A two independent sample test for difference of population means is based on samples of size 25 and 28. What is the degrees of freedom for the corresponding t-distribution?
Sports fans tune to a local sports talk radio station according to a Poisson process with the rate of three fans every two minutes and listen it for an Exponential amount of time with the average of
Plot the proportion of female candidates against the Party, and comment. Plot the proportion of female candidates against the Region, and comment.
The cakes baked at the higher temperature were lighter by 20 on average, and the standard deviation of the differences in the density was 18. What is the p-value for a test of the appropriate hypoth
For comparing three means based on equal sample sizes of 10 each, the residual sum of squares is 54. What is the estimate of the variance from this analysis? Give your answer to 1 decimal place.
The F-ratio if 5.76 for comparing 3 means based on equal sample sizes of 10 each. What is the p-value of the test? Use the function F.DIST in Excel. Note that this gives the left tail probability. G
In an Anova table for comparing four means, the degrees total of freedom are 30, and between sum of square is 400, and the total sum of squares is 700. What is the F-ratio? Give your answer to 1 dec
Three independent samples of equal size are taken to test for a difference the corresponding population means. The total degreee of freedom is 59. What is the degrees of freedom for the within (resi
An Anova table has an observed F statistic of 5.4, based of 4 degrees of freedom for the between SS and 26 degrees of freedom for the within SS. What is the p-value of the test? Give your answer to
Each recipe was used to bake 10 cakes in large ovens. The data was analysed by a one way Anova. What is the degrees of freedom of the residual or within sum of squares?