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- Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.036 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 57 U.S. cities is 0.039 microgram per cubic meter and the standard deviation is 0.067 microgram per cubic meter. At α=0.10, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. Question content area bottom Part 1 (a) Identify the claim and state H0 and Ha. H0: ▼ pp muμ sigma squaredσ2 sigmaσ ▼ not equals≠ greater than> less than or equals≤ less than< equals= greater than or equals≥ enter your response here Ha: ▼ muμ sigma squaredσ2 pp sigmaσ ▼ not equals≠ equals= greater than or equals≥ greater than> less than or equals≤ less than< enter your response here (Type integers or decimals. Do not round.) The claim is the ▼ null alternative…Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.036 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 55 U.S. cities is 0.038 microgram per cubic meter and the standard deviation is 0.067 microgram per cubic meter. At α=0.10,can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. a. Identify Ho and Ha b. find the critical values and sket the rejection region c. calculate the test statistic d. Do you "reject the Ho" or "fail to reject Ha"? e. interpret results ( does it support or reject the claim)Chapter 9, Section 2, Exercise 032 Use the following ANOVA table for regression to answer the questions. Response: Y Source DF Sum Sq Mean Sq F-value Pr(>F) Regression 1 355.21 355.21 14.76 0.000 Residual Error 359 8641.13 24.07 Total 360 8996.34 Give the F-statistic and p-value.Enter the exact answers.The F-statistic is=The p-value is=
- An article in a journal reports that 34% of American fathers take no responsibility for child care. A researcher claims that the figure is higher for fathers in the town of Littleton. A random sample of 225 fathers from Littleton, yielded 97 who did not help with child care. Find the p-value for a test of the researcher's claim to three decimal places Question content area bottom Part 1 A. 0.053 B. 0.001 C. 0.002 D. 0.004A random sample of 100 automobile owners in a region shows that an automobile is driven on average 22 comma 000 kilometers per year with a standard deviation of 4500 kilometers. Assume the distribution of measurements to be approximately normal. Construct a 95% prediction interval for the kilometers traveled annually by an automobile owner in the region. The prediction interval is ______< Xo < _____ (Round to the nearest integer as needed.)Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.035 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 55 U.S. cities is 0.038 microgram per cubic meter and the standard deviation is 0.069 microgram per cubic meter. At α=0.01, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed.
- Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.31 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 66 cities is 2.39 parts per million and the standard deviation is 2.12 parts per million. At α=0.05, can the claim be supported?Complete parts (a) through (e) below. Assume the population is normally distributed.Clgarette Smoking A researcher found that a cigarette smoker smokes on average 32 cigarettes a day. She feels that this average is too high. She selected a random sample of 9 smokers and found that the mean number of cigarettes they smoked per day was 29. The sample standard deviation was 2.9. At a =0.01, is there enough evidence to support her claim? Assume that the population is approximately normally distributed. Use the critical value method and tables. Part 1 of 5 (a) State the hypotheses and identify the claim. Ho: u = 32 not claim H : u < 32 claim This hypothesis test is a one-tailed test. Part: 1 /5 Part 2 of 5 (b) Find the critical value(s). Round the answer to three decimal places. If there is more than one critical value, seperate them with commas. Critical value(s):Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.038 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 56 U.S. cities is 0.038 microgram per cubic meter and the standard deviation is 0.068 microgram per cubic meter. At alphaαequals=0.01, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. d) Decide whether to reject or fail to reject the null hypothesis. ▼ Fail to reject Reject Upper H 0H0 because the standardized test statistic ▼ is is not in the rejection region. (e) Interpret the decision in the context of the original claim. There ▼ is not is enough evidence at the nothing% level of significance to ▼ reject support the claim that the mean amount of lead in the air in U.S. cities is ▼ equal greater than or equal less than or equal not equal greater than less than nothing…
- Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.32 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 63 cities is 2.39 parts per million and the standard deviation is 2.11 parts per million. At α=0.05, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed.Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.036 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 57 U.S. cities is 0.039 microgram per cubic meter and the standard deviation is 0.067 microgram per cubic meter. At α=0.10, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. Question content area bottom Part 1 (a) Identify the claim and state H0 and Ha. H0: muμ greater than or equals≥ 0.0360.036 Ha: muμ less than< 0.0360.036 (Type integers or decimals. Do not round.) The claim is the alternative hypothesis. Part 2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are t0=enter your response here. (Use a comma to separate answers as needed. Round to two decimal places as needed.)Over the years, the mean customer satisfaction rating at a local restaurant has been 85. The restaurant was recently remodeled, and now the management claims the mean customer rating, u, is not equal to 85. In a sample of 42 customers chosen at random, the mean customer rating is 83.1. Assume that the population standard deviation of customer ratings is 5.3. Is there enough evidence to support the claim that the mean customer rating is different from 85? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. H,: I OO H: 0 D=D0 (b) Perform a Z-test and find the p-value. Here is somne information to help you with your Z-test. • The value of the test statistic is given by