Exam 10: One-Sample Tests of Hypothesis

To compare the effect of weather on sales of soft drinks, a soda manufacturer sampled two regions Of the country with the following results. Is there a difference in sales between the 2 regions? i. The null hypothesis is pa - pb = 0. ii. The alternate hypothesis is pa - pb ≠ 0. iii. The proportion of sales made in Market Area 2 is 0.33.

A local retail business wishes to determine if there is a difference in preferred indoor temperature Between men and women. A random sample of data is collected, with the following results: If you were to use Excel's Data Analysis to assist in your solution to this problem, which test would You use?

To compare the effect of weather on sales of soft drinks, a soda manufacturer sampled two regions Of the country with the following results. Is there a difference in sales between the 2 regions? i. The alternate hypothesis is pa - pb >0. ii. The z-statistic is 3.40. iii. Your decision is to accept the null hypothesis.

Accounting procedures allow a business to evaluate their inventory at LIFO (Last In First Out) or FIFO (First In First Out). A manufacturer evaluated its finished goods inventory (in $1000) for five Products both ways. Based on the following results, is LIFO more effective in keeping the value of His inventory lower? What is the value of calculated t?

Of 250 adults who tried a new multi-grain cereal, Wow! 187 rated it excellent; of 100 children Sampled, 66 rated it excellent. Using the 0.1 significance level and the alternate hypothesis p1 not Equal to p2, what is the null hypothesis?

Married women are more often than not working outside the home on at least a part-time basis, as Do most mannered men. Does a husband's employment status affect his wife's well-being? In an Attempt to answer this question, 20 married female professionals were surveyed as to their job Satisfaction. In this sample, 15 husbands were employed, and 5 were unemployed. The Learning Objective of the study was to compare the mean job satisfaction levels of the married women with Working husbands, with the mean job satisfaction levels of the married women with husbands that Stayed at home. If the p-value obtained from the computer printout is 0.055, does this give sufficient evidence to Conclude that the mean level of job satisfaction for women with working husbands is more than that Of those whose husbands don't work?

i. If the null hypothesis states that there is no difference between the mean income of males and the Mean income of females, then the test is one-tailed. ii. If we are testing for the difference between two population means, it is assumed that the sample Observations from one population are independent of the sample observations from the other Population. iii. The critical value of t for the claim that the difference of two means is less than zero with a level Of significance of 0.025 and sample sizes of nine and seven, is -2.179.

For a hypothesis comparing two population means, H0: μ1 ≤ μ2, what is the critical value for a one- Tailed hypothesis test, using a 5% significance level, with both sample sizes equal to 13? Assume the Population standard deviations are equal.

Married women are more often than not working outside the home on at least a part-time basis, as Do most mannered men. Does a husband's employment status affect his wife's well-being? In an Attempt to answer this question, 75 married female professionals were surveyed as to their job Satisfaction. In this sample, 45 husbands were employed, and 30 were unemployed. The Learning Objective of the study was to compare the mean job satisfaction levels of the married women with Working husbands, with the mean job satisfaction levels of the married women with husbands that Stayed at home. The test statistic for this problem has what type of distribution?

An investigation of the effectiveness of a training program to improve customer relationships Included a pre-training and post-training customer survey. To compare the differences, they Computed (post-training survey score - pre-training survey score). Seven customers were randomly Selected and completed both surveys. The results follow: This analysis is an example of _____________.

An investigation of the effectiveness of a training program to improve customer relationships Included a pre-training and post-training customer survey. To compare the differences, they Computed (post-training survey score - pre-training survey score). Seven customers were randomly Selected and completed both surveys. The results follow: Was the training effective in improving customer relationships when tested at a 0.05 level of Significance?

Of 150 adults who tried a new peach-flavoured peppermint patty, 87 rated it excellent. Of 200 Children sampled, 123 rated it excellent. Using the 0.10 level of significance, can we conclude that There is a significant difference in the proportion of adults and the proportion of children who rate The new flavour as excellent? State the decision rule, the value of the test statistic, and your Decision.

A local retail business wishes to determine if there is a difference in preferred indoor temperature Between men and women. A random sample of data is collected, with the following results: What is the decision at the 5% level of significance?

Married women are more often than not working outside the home on at least a part-time basis, as Do most mannered men. Does a husband's employment status affect his wife's well-being? In an Attempt to answer this question, 20 married female professionals were surveyed as to their job Satisfaction. In this sample, 15 husbands were employed, and 5 were unemployed. The Learning Objective of the study was to compare the mean job satisfaction levels of the married women with Working husbands, with the mean job satisfaction levels of the married women with husbands that Stayed at home. The test statistic for this problem has what type of distribution?

Suppose we are testing the difference between two proportions at the 0.05 level of significance. If The computed z is -1.07, what is our decision?

i. We use the pooled estimate of the proportion in testing the difference between two population Proportions when the samples are not chosen independently. ii. The pooled estimate of the proportion is found by dividing the total number of samples by the Total number of successes. iii. A committee studying employer-employee relations proposed that each employee would rate his Or her immediate supervisor and in turn the supervisor would rate each employee. To find reactions Regarding the proposal, 120 office personnel and 160 plant personnel were selected at random. Seventy-eight of the office personnel and 90 of the plant personnel were in favour of the proposal. Computed z = 1.48. At the 0.05 level, it was concluded that there is sufficient evidence to support The belief that the proportion of office personnel in favour of the proposal is greater than that of the Plant personnel.

A recent study compared the time spent together by single and dual-earner couples. According to The records kept during the study, the mean amount of time spent together watching TV among Single-earner couples was 65 minutes per day, with a standard deviation of 15.5 minutes. For the Dual-earner couples, the mean time was 48.4 and the standard deviation was 18.1. At a 0.01 Significance level, can we conclude that the single-earner couples on average spend more time Watching TV together? There were 15 single-earner and 12 dual-earner couples studied. State the Decision rule, the value of the test statistic, and your decision.

Which of the following conditions must be met to conduct a test for the difference in two sample Means?

Accounting procedures allow a business to evaluate their inventory at LIFO (Last In First Out) or FIFO (First In First Out). A manufacturer evaluated its finished goods inventory (in $1000) for five Products both ways. Based on the following results, is LIFO more effective in keeping the value of His inventory lower? What is the alternate hypothesis?

i. The paired difference test has (n1 + n2 - 2) degrees of freedom. ii. The paired t test is especially appropriate when the sample sizes of two groups are the same. iii. A statistics professor wants to compare grades of two different groups of students taking the Same course in two different sections. This is an example of a paired sample.